Academic literature on the topic 'Analogue gravity'

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Journal articles on the topic "Analogue gravity"

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Blencowe, Miles P., and Hui Wang. "Analogue gravity on a superconducting chip." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 378, no. 2177 (July 20, 2020): 20190224. http://dx.doi.org/10.1098/rsta.2019.0224.

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We describe how analogues of a Hawking evaporating black hole as well as the Unruh effect for an oscillatory, accelerating photodetector in vacuum may be realized using superconducting, microwave circuits that are fashioned out of Josephson tunnel junction and film bulk acoustic resonator elements. This article is part of a discussion meeting issue ‘The next generation of analogue gravity experiments’.
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Faccio, Daniele. "Laser pulse analogues for gravity and analogue Hawking radiation." Contemporary Physics 53, no. 2 (March 2012): 97–112. http://dx.doi.org/10.1080/00107514.2011.642559.

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Liberati, Stefano. "Analogue gravity models of emergent gravity: lessons and pitfalls." Journal of Physics: Conference Series 880 (August 2017): 012009. http://dx.doi.org/10.1088/1742-6596/880/1/012009.

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Smolyaninov, Igor I., and Vera N. Smolyaninova. "Analogue Quantum Gravity in Hyperbolic Metamaterials." Universe 8, no. 4 (April 14, 2022): 242. http://dx.doi.org/10.3390/universe8040242.

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It is well known that extraordinary photons in hyperbolic metamaterials may be described as living in an effective Minkowski spacetime, which is defined by the peculiar form of the strongly anisotropic dielectric tensor in these metamaterials. Here, we demonstrate that within the scope of this approximation, the sound waves in hyperbolic metamaterials look similar to gravitational waves, and therefore the quantized sound waves (phonons) look similar to gravitons. Such an analogue model of quantum gravity looks especially interesting near the phase transitions in hyperbolic metamaterials where it becomes possible to switch quantum gravity effects on and off as a function of metamaterial temperature. We also predict strong enhancement of sonoluminescence in ferrofluid-based hyperbolic metamaterials, which looks analogous to particle creation in strong gravitational fields.
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Hossenfelder, Sabine, and Tobias Zingg. "Analogue gravity models from conformal rescaling." Classical and Quantum Gravity 34, no. 16 (July 20, 2017): 165004. http://dx.doi.org/10.1088/1361-6382/aa7e12.

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Schützhold, Ralf. "Summary of session E1: analogue gravity." Classical and Quantum Gravity 25, no. 11 (May 15, 2008): 114027. http://dx.doi.org/10.1088/0264-9381/25/11/114027.

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Barceló, Carlos, S. Liberati, and Matt Visser. "Analogue gravity from Bose-Einstein condensates." Classical and Quantum Gravity 18, no. 6 (March 14, 2001): 1137–56. http://dx.doi.org/10.1088/0264-9381/18/6/312.

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Jacquet, M. J., T. Boulier, F. Claude, A. Maître, E. Cancellieri, C. Adrados, A. Amo, et al. "Polariton fluids for analogue gravity physics." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 378, no. 2177 (July 20, 2020): 20190225. http://dx.doi.org/10.1098/rsta.2019.0225.

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Analogue gravity enables the study of fields on curved space–times in the laboratory. There are numerous experimental platforms in which amplification at the event horizon or the ergoregion has been observed. Here, we demonstrate how optically generating a defect in a polariton microcavity enables the creation of one- and two-dimensional, transsonic fluid flows. We show that this highly tuneable method permits the creation of horizons. Furthermore, we present a rotating geometry akin to the water-wave bathtub vortex. These experiments usher in the possibility of observing stimulated as well as spontaneous amplification by the Hawking, Penrose and Zeld’ovich effects in fluids of light. This article is part of a discussion meeting issue ‘The next generation of analogue gravity experiments’.
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Petty, Jack, and Friedrich König. "Optical analogue gravity physics: resonant radiation." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 378, no. 2177 (July 20, 2020): 20190231. http://dx.doi.org/10.1098/rsta.2019.0231.

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The photonic crystal fibre (PCF) is a unique medium giving us the opportunity to perform experiments in carefully chosen regimes with precision and control. Using PCFs, we can perform analogue gravity experiments to study the physics of Hawking radiation and related processes such as resonant radiation. We discuss the similarities and differences between these processes and experimentally investigate the limits of effects of this type, dis- covering a new regime of record efficiency. We measure a 60% energy conversion efficiency from a pump to a visible femtosecond pulse by the process of resonant radiation, and demonstrate its extraordinary tunability in wavelength and bandwidth. Beyond analogue gravity, these femtosecond visible pulses provide a desirable laser source useful across a variety of modern scientific fields. This article is part of a discussion meeting issue ‘The next generation of analogue gravity experiments’.
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Visser, Matt, Carlos Barceló, and Stefano Liberati. "Analogue Models of and for Gravity." General Relativity and Gravitation 34, no. 10 (October 2002): 1719–34. http://dx.doi.org/10.1023/a:1020180409214.

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Dissertations / Theses on the topic "Analogue gravity"

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Doyle, Emma Esmé. "Analogue and numerical modelling of gravity currents and pyroclastic flows." Thesis, University of Bristol, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.443693.

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Butera, Salvatore. "Synthetic gauge potentials and analogue gravity in Bose-Einstein condensates." Thesis, Heriot-Watt University, 2017. http://hdl.handle.net/10399/3260.

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In this thesis multi-component, spinorial cold atomic gases are studied. We investigate first the new perspectives introduced by nonlinear, that is density dependent, synthetic gauge fields in atomic Bose-Einstein condensate. Such fields stem from a collisionally induced detuning in combination with synthetic magnetism arising from the light-atom coupling. The effective mean field dynamics of the condensate shows the appearance of an exotic nonlinearity which is proportional to the current in the system. It introduces a chirality, whose effects on the stability and dynamical properties of the rotating state of a condensate is investigated. We show that by properly shaping the profile and the magnitude of the light-matter interaction parameters, it may happen that the rotating state is energetically favorable compared to the corresponding non-rotating one. Furthermore, we analyze the effects of the nonlinear field on the dynamics of a vortex in a condensate. We obtain the equation of motion for the vortex core, showing the appearance of an extra force which is explicitly depending on the number of particles that are in the system. Furthermore, we consider the implications of the same type of density-dependent fields in the context of analogue gravity. We show that they provide an extra degreeof- freedom that can be exploited in order to design effective non-trivial spacetimes experienced by phonons. In the framework of analogue models of gravity, we finally discuss the perspectives of two-dimensional systems, and address the problem of the black hole lasing effect in the spin modes of the system. By developing a Gross-Pitaevskii theory for the problem, we prove the onset of the lasing instability, and the phenomenon of mode conversion at the horizons. To this aim we consider both homogeneous and harmonically trapped condensates.
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Giacomelli, Luca. "Superradiant phenomena - Lessons from and for Bose-Einstein condensates." Doctoral thesis, Università degli studi di Trento, 2021. http://hdl.handle.net/11572/294551.

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The work of this thesis is guided by the Analogue Gravity research programme, in which condensed matter systems are used as analogues of the physics of curved spacetimes to obtain new perspectives on open problems of gravitational physics. Here we use this idea to investigate the phenomenon of superradiance, most famously occurring in rotating black hole spacetimes, using as an analogue system atomic Bose-Einstein condensates (BECs). Superradiance is a radiation enhancement phenomenon in which waves of different kind are scattered with an increased amplitude by extracting energy from the object they are scattering on. In this thesis on the one hand we use the gravitational analogy to understand better superradiance starting from easier analogue setups, and on the other hand we use concepts coming from superradiance to learn something about the physics of BECs. We first present a (possibly realizable) toy model, built using the tools of synthetic gauge fields for neutral atoms, to provide a new and conceptually simple illustration of superradiant scattering. This toy model allows to disentangle the different elements at play and highlight the basic mechanisms of superradiance and has also the interesting feature of being exactly mappable to a scattering problem of a charged scalar field on an electrostatic potential. We also show how at the quantum level, superradiance implies the spontaneous emission of pairs of excitations. The low temperatures of atomic condensates can make these quantum features visible and we propose a way of detecting them via correlation measurements. Another realization of this toy model can also be built using periodic trapping potentials for the atoms. By changing the boundary conditions of the acoustic excitations of the condensate we show how superradiance can give rise to dynamical instabilities. Our toy model gives a simple illustration of superradiant instabilities occurring in rotating gravitational spacetimes, in particular ergoregion instabilities and black hole bombs. It also provides a realization of the analogous instabilities involving a charged scalar field, called the Schiff-Snyder-Weinberg effect. Our approach naturally shows how amplified scattering can also occur in the presence of dynamical instabilities, a point often object of confusion in the literature. Moreover, we add an acoustic horizon to our toy model and show that, differently from what happens in general relativity, horizons do not always prevent the presence of ergoregion instabilities. We then apply these concepts to the study of the stability of quantized vortices in two-dimensional BECs. With a careful account of boundary conditions, we show that the dynamical instability of multiply quantized vortices in trapped condensates persists in untrapped, spatially homogeneous geometries and has an ergoregion nature with some modification due to the peculiar dispersion of Bogoliubov sound. Our results open new perspectives to the physics of vortices in trapped condensates, where multiply quantized vortices can be stabilized by interference effects and singly charged vortices can become unstable in suitably designed trap potentials. We show how superradiant scattering can be observed also in the short-time dynamics of dynamically unstable systems, providing an alternative point of view on dynamical (in)stability phenomena in spatially finite systems. Finally we consider the equivalent of a shear layer between parallel flows in hydrodynamics, but in a BEC. In the present case the shear layer is constituted by and array of quantized vortices that are shown to develop an instability analogous to the Kelvin-Helmholtz instability. When the relative velocity between the two parallel flow is sufficiently large however, this instability is quenched and substituted by a slower instability that has the features of the superradiant instabilities we studied. Differently from superradiant instabilities, this one also remains with open boundary conditions on the two sides of the shear layer, and manifests itself as a continuous emission of phonons in both directions; we call this new regime radiative instability.
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Giacomelli, Luca. "Superradiant phenomena - Lessons from and for Bose-Einstein condensates." Doctoral thesis, Università degli studi di Trento, 2021. http://hdl.handle.net/11572/294551.

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The work of this thesis is guided by the Analogue Gravity research programme, in which condensed matter systems are used as analogues of the physics of curved spacetimes to obtain new perspectives on open problems of gravitational physics. Here we use this idea to investigate the phenomenon of superradiance, most famously occurring in rotating black hole spacetimes, using as an analogue system atomic Bose-Einstein condensates (BECs). Superradiance is a radiation enhancement phenomenon in which waves of different kind are scattered with an increased amplitude by extracting energy from the object they are scattering on. In this thesis on the one hand we use the gravitational analogy to understand better superradiance starting from easier analogue setups, and on the other hand we use concepts coming from superradiance to learn something about the physics of BECs. We first present a (possibly realizable) toy model, built using the tools of synthetic gauge fields for neutral atoms, to provide a new and conceptually simple illustration of superradiant scattering. This toy model allows to disentangle the different elements at play and highlight the basic mechanisms of superradiance and has also the interesting feature of being exactly mappable to a scattering problem of a charged scalar field on an electrostatic potential. We also show how at the quantum level, superradiance implies the spontaneous emission of pairs of excitations. The low temperatures of atomic condensates can make these quantum features visible and we propose a way of detecting them via correlation measurements. Another realization of this toy model can also be built using periodic trapping potentials for the atoms. By changing the boundary conditions of the acoustic excitations of the condensate we show how superradiance can give rise to dynamical instabilities. Our toy model gives a simple illustration of superradiant instabilities occurring in rotating gravitational spacetimes, in particular ergoregion instabilities and black hole bombs. It also provides a realization of the analogous instabilities involving a charged scalar field, called the Schiff-Snyder-Weinberg effect. Our approach naturally shows how amplified scattering can also occur in the presence of dynamical instabilities, a point often object of confusion in the literature. Moreover, we add an acoustic horizon to our toy model and show that, differently from what happens in general relativity, horizons do not always prevent the presence of ergoregion instabilities. We then apply these concepts to the study of the stability of quantized vortices in two-dimensional BECs. With a careful account of boundary conditions, we show that the dynamical instability of multiply quantized vortices in trapped condensates persists in untrapped, spatially homogeneous geometries and has an ergoregion nature with some modification due to the peculiar dispersion of Bogoliubov sound. Our results open new perspectives to the physics of vortices in trapped condensates, where multiply quantized vortices can be stabilized by interference effects and singly charged vortices can become unstable in suitably designed trap potentials. We show how superradiant scattering can be observed also in the short-time dynamics of dynamically unstable systems, providing an alternative point of view on dynamical (in)stability phenomena in spatially finite systems. Finally we consider the equivalent of a shear layer between parallel flows in hydrodynamics, but in a BEC. In the present case the shear layer is constituted by and array of quantized vortices that are shown to develop an instability analogous to the Kelvin-Helmholtz instability. When the relative velocity between the two parallel flow is sufficiently large however, this instability is quenched and substituted by a slower instability that has the features of the superradiant instabilities we studied. Differently from superradiant instabilities, this one also remains with open boundary conditions on the two sides of the shear layer, and manifests itself as a continuous emission of phonons in both directions; we call this new regime radiative instability.
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De, Vito Marco. "Analytic aspects of analogue Hawking radiation in Bose-Einstein condensates." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2022. http://amslaurea.unibo.it/25570/.

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We present a theoretical study of analogue Hawking effect in stepwise models of Bose-Einstein condensates. We focus on subsonic-supersonic configuration, where two stationary homogeneous condensates are connected by a step-like discontinuity in the local speed of sound. We provide a detailed analysis of the scattering processes of fluctuation modes at the sonic horizon based on microscopic Bogoliubov theory of dilute BECs. Spontaneous phonon emission is predicted to occur at the horizon as a conversion of vacuum fluctuations into on-shell real particles. The condensed-matter analogue of Hawking radiation arises as a thermal Bose spectrum to low frequency order in the subsonic region. Stepwise BEC configurations with an extended sonic region are also taken into account in order to address more general and realistic velocity flow profiles.
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Coutant, Antonin. "On the phenomenology of quantum gravity : stability properties of Hawking radiation in the presence of ultraviolet violation of local Lorentz invariance." Thesis, Paris 11, 2012. http://www.theses.fr/2012PA112213/document.

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Dans cette thèse, nous étudions plusieurs aspects de la radiation de Hawking en présence de violations de l'invariance locale de Lorentz. Ces violations sont introduites par une modification de la relation de dispersion, devenant non-linéaire aux courtes longueurs d’onde. Les principales motivations de ces travaux ont une double origine. Il y a d’une part le développement en matière condensée de trous noirs analogues, ou l’écoulement d’un fluide est perçu comme une métrique d’espace-temps pour les ondes de perturbations et ou la radiation de Hawking pourrait être détectée expérimentalement. D’autre part, il se pourrait que des effets de gravité quantique puissent être modélisés par une modification de la relation de dispersion. En premier lieu, nous avons obtenu des caractérisations précises des conditions nécessaires au maintien de l’effet Hawking en présence de violation de l’invariance de Lorentz. De plus, nous avons étudié l’apparition d’une onde macroscopique de fréquence nulle, dans des écoulements de type trous blancs et également pour des champs massifs. Une autre partie de ce travail a consisté à analyser une instabilité engendrée par les effets dispersifs, ou la radiation de Hawking est auto-amplifiée, générant ainsi un flux sortant exponentiellement croissant dans le temps
In this thesis, we study several features of Hawking radiation in the presence of ultraviolet Lorentz violations. These violations are implemented by a modified dispersion relation that becomes nonlinear at short wavelengths. The motivations of this work arise on the one hand from the developing field of analog gravity, where we aim at measuring the Hawking effect in fluid flows that mimic black hole space-times, and on the other hand from the possibility that quantum gravity effects might be approximately modeled by a modified dispersion relation. We develop several studies on various aspects of the prob- lem. First we obtain precise characterizations about the deviations from the Hawking result of black hole radiation, which are induced by dispersion. Second, we study the emergence, both in white hole flows or for massive fields, of a macroscopic standing wave, spontaneously produced from the Hawking effect, and known as ‘undulation’. Third, we describe in detail an instability named black hole laser, which arises in the presence of two horizons, where Hawking radiation is self-amplified and induces an exponentially growing in time emitted flux
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Wuester, Sebastian, and sebastian wuester@gmx net. "Classical and Quantum Field Theory of Bose-Einstein Condensates." The Australian National University. Faculty of Science, 2007. http://thesis.anu.edu.au./public/adt-ANU20070802.161045.

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We study the application of Bose-Einstein condensates (BECs) to simulations of phenomena across a number of disciplines in physics, using theoretical and computational methods. ¶ Collapsing condensates as created by E. Donley et al. [Nature 415, 39 (2002)] exhibit potentially useful parallels to an inflationary universe. To enable the exploitation of this analogy, we check if current quantum field theories describe collapsing condensates quantitatively, by targeting the discrepancy between experimental and theoretical values for the time to collapse. To this end, we couple the lowest order quantum field correlation functions to the condensate wavefunction, and solve the resulting Hartree-Fock-Bogoliubov equations numerically. Complementarily, we perform stochastic truncated Wigner simulations of the collapse. Both methods also allow us to study finite temperature effects. ¶ We find with neither method that quantum corrections lead to a faster collapse than is predicted by Gross-Pitaevskii theory. We conclude that the discrepancy between the experimental and theoretical values of the collapse time cannot be explained by Gaussian quantum fluctuations or finite temperature effects. Further studies are thus required before the full analogue cosmology potential of collapsing condensates can be utilised. ¶ As the next project, we find experimental parameter regimes in which stable three-dimensional Skyrmions can exist in a condensate. We show that their stability in a harmonic trap depends critically on scattering lengths, atom numbers, trap rotation and trap anisotropy. In particular, for the Rb87 |F=1,m_f=-1>, |F=2,m_f=1> hyperfine states, stability is sensitive to the scattering lengths at the 2% level. We find stable Skyrmions with slightly more than 2*10^6 atoms, which can be stabilised against drifting out of the trap by laser pinning. ¶ As a stepping stone towards Skyrmions, we propose a method for the stabilisation of a stack of parallel vortex rings in a Bose-Einstein condensate. The method makes use of a ``hollow'' laser beam containing an optical vortex, which realises an optical tunnel for the condensate. Using realistic experimental parameters, we demonstrate numerically that our method can stabilise up to 9 vortex rings. ¶ Finally, we focus on analogue gravity, further exploiting the analogy between flowing condensates and general relativistic curved space time. We compare several realistic setups, investigating their suitability for the observation of analogue Hawking radiation. We link our proposal of stable ring flows to analogue gravity, by studying supersonic flows in the optical tunnel. We show that long-living immobile condensate solitons generated in the tunnel exhibit sonic horizons, and discuss whether these could be employed to study extreme cases in analogue gravity. ¶ Beyond these, our survey indicates that for conventional analogue Hawking radiation, simple outflow from a condensate reservoir, in effectively one dimension, has the best properties. We show with three dimensional simulations that stable sonic horizons exist under realistic conditions. However, we highlight that three-body losses impose limitations on the achievable analogue Hawking temperatures. These limitations vary between the atomic species and favour light atoms. ¶ Our results indicate that Bose-Einstein condensates will soon be useful for interdisciplinary studies by analogy, but also show that the experiments will be challenging.
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Euvé, Léo-Paul. "Interactions ondes-courant-obstacle : application à la physique des trous noirs." Thesis, Poitiers, 2017. http://www.theses.fr/2017POIT2280/document.

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Le projet de recherche consiste à observer en laboratoire la radiation de Hawking, cette prédiction stupéfiante de l'astrophysicien anglais Stephen Hawking faite en 1974 : les trous noirs ne sont pas noirs. Autrement dit, ils n'absorbent pas tout ce qui est à leur portée mais émettent un rayonnement. En plus des complications du fait que ces objets célestes sont à des milliers d'années-lumière, ce rayonnement est tellement faible que cela reviendrait à essayer d'entendre un murmure dans un concert de rock. Mais William Unruh, en 1981, a proposé une solution : utiliser des systèmes hydrodynamiques qui présentent les mêmes équations mathématiques qu'en astrophysique. Plus précisément, dans notre cas, nous utilisons la correspondance entre la propagation des ondes lumineuses au voisinage d'un trou noir et celles des ondes de surface dans un contre-courant rendu inhomogène par la présence d'un obstacle immergé. Pour cela, une compréhension approfondie de la mécanique des ondes de surface est nécessaire (bathymétrie variable, vorticité, non-linéarités…). Du côté technique, une méthode de mesure de surface libre a été développée et optimisée
The aim of the PhD is the observation the Hawking radiation in the laboratory, this astounding prediction of the English astrophysicist Stephen Hawking made in 1974: black holes are not black. In other words, they do not absorb anything within reach but emit a radiation. In addition to the complications of the fact that these celestial objects are thousands of light years away, this radiation is so weak that it would be like trying to hear a whisper in a rock concert. But William Unruh, in 1981, proposed a solution: to use hydrodynamic systems which have the same mathematical equations as in astrophysics. More precisely, in our case, we use the correspondence between the propagation of light in the vicinity of a black hole and surface waves propagation on a inhomogeneous countercurrent (due to the presence of a submerged obstacle). For this, a thorough understanding of the surface waves physics is necessary (variable bathymetry, vorticity, non-linearities ...). On the technical side, a free surface measurement method has been developed and optimized
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Aruquipa, David Quispe 1989. "An analogue model of gravity based on a radial fluid flow : the case of AdS and its deformations = Um modelo análogo à gravitação baseado em um fluxo radial: o caso do espaço-tempo AdS e suas deformações." [s.n.], 2017. http://repositorio.unicamp.br/jspui/handle/REPOSIP/325326.

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Orientadores: Ricardo Antonio Mosna, Márcio José Menon
Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Física Gleb Wataghin
Made available in DSpace on 2018-09-02T03:12:41Z (GMT). No. of bitstreams: 1 QuispeAruquipa_David_M.pdf: 2372918 bytes, checksum: bb030f9f8aecc210d608f2f9005a7a49 (MD5) Previous issue date: 2017
Resumo: Os modelos análogos são uma ferramenta muito útil quando se quer entender ou testar fenômenos em um sistema físico em termos e conceitos de outro, esses sistemas podem ser mais familiares ou mais facilmente reproduzíveis por experimentos. Este trabalho explora esta questão no contexto de modelos análogos à gravitação baseados na mecânica dos fluidos. Particularmente, estamos interessados em fornecer um modelo análogo para um fluxo radial com uma fonte/sorvedouro na origem. Começamos por considerar o caso em que a velocidade do fluxo (radial) é constante. O modelo análogo resultante é então o espaço-tempo Anti-de Sitter (ou AdS) que é conhecido por ser não-globalmente hiperbólico. Como resultado, a dinâmica dos campos neste contexto não está bem definida até que sejam estabelecidas condições adicionais na fronteira no infinito espacial do espaço-tempo AdS. A contrapartida destas condições de fronteira extra na mecânica dos fluidos proporciona uma descrição efetiva da fonte/sorvedouro que está na origem. Depois disso, nós consideramos regularizações para o modelo análogo perto da fonte/sorvedouro na origem. Logo, impomos condições sobre eles, a fim de que a dinâmica seja bem definida de modo que não são mais necessárias as condições na fronteira. Calculamos como as quantidades físicas, como a diferença de fase entre as ondas que entram e saem, são afetadas pelas regularizações. Estes resultados são então comparados com o caso AdS para compreender as principais implicações do processo de regularização, que tem o efeito de deformar a região perto do infinito espacial do AdS. Mostramos também que, sob certas condições, a diferença de fase obtida para esses espaços deformados do AdS coincide com a obtida no caso do espaço-tempo AdS
Abstract: Analogue models are a useful tool when one wants to understand or probe phenomena in one physical system in terms of concepts from another, which may be more familiar or more easily accessed by experiments. This work explores this framework in the context of analogue models of gravity based on fluid dynamics. Particularly, we are interested in providing an analogue model for a radial fluid flow with a point source/sink at the origin. We start by considering the case where the (radial) flow velocity is constant. The resulting analogue model is then the Anti-de Sitter spacetime (AdS) which is known to be non-globally hyperbolic. As a result, the dynamics of fields in this background is not well defined until extra boundary conditions at its spatial boundary are prescribed. The fluid dynamics counterpart of these extra boundary conditions provide an effective description of the point source/sink at the origin. After that, we consider regularizations of this model near the source/sink at the origin. We then impose conditions on them in order that the dynamics is well defined so that no extra boundary conditions are required. We calculate how physical quantities, like the phase difference between ingoing and outgoing scattered waves are affected by the regularizations. These results are then compared with the AdS case to understand the main implications of the regularization, which has the effect of deforming the AdS space near its spatial infinity. We also show that, under certain conditions, the phase difference obtained for these deformed AdS spaces agrees with that obtained in the AdS case
Mestrado
Física
Mestre em Física
1490213/2015
CAPES
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Isoard, Mathieu. "Theoretical study of quantum correlations and nonlinear fluctuations in quantum gases." Thesis, université Paris-Saclay, 2020. http://www.theses.fr/2020UPASP004.

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Cette thèse est dédiée à l’étude des phénomènes non-linéaires dans deux fluides quantiques qui partagent de nombreuses similitudes : les condensats de Bose-Einstein et les “fluides de lumière”. Dans une première partie, nous étudions les analogues soniques des trous noirs. Il est possible de créer une configuration stationnaire d’un condensat de Bose-Einstein en écoulement d’une région subsonique vers une région supersonique. Ce fluide transsonique joue alors le rôle d’un trou noir puisque les ondes sonores ne peuvent s’échapper de la région supersonique. En outre, en quantifiant le champ sonore, il est possible de montrer qu’un rayonnement de Hawking analogue émerge des fluctuations quantiques du vide. Dans cette thèse, nous montrons que la prise en compte des “modes zéros” – omis jusqu’alors dans le contexte de la gravité analogue – est essentielle pour obtenir une description précise du processus de Hawking, menant alors à un excellent accord avec les résultats expérimentaux. Enfin, nous étudions l’intrication entre les différentes excitations quantiques et montrons que notre système crée de l’intrication tripartite. Dans un second temps, nous étudions la propagation des fluides non-linéaires grâce à une approche hydrodynamique et à des méthodes mathématiques développées par Riemann et Whitham. Nous étudions la structure oscillante et la dynamique des ondes de chocs dispersives qui se forment à la suite d’un déferlement. Notre approche permet de trouver des expressions analytiques simples qui décrivent les propriétés asymptotiques du choc. Cela donne accès à des paramètres d’intérêt expérimental, comme le temps de déferlement, la vitesse de l’onde de choc ou encore le contraste de ses franges
This thesis is dedicated to the study of nonlinear-driven phenomena in two quantum gases which bear important similarities: Bose-Einstein condensates of ultracold atomic vapors and “fluids of light”. In a first part, we study sonic analogues of black holes. In a Bose-Einstein condensate, it is possible to implement a stationary configuration with a current flowing from a subsonic region to a supersonic one. This mimics a black hole, since sonic excitations cannot escape the supersonic region. Besides, quantizing the phonon field leads to a sonic analogue of Hawking radiation. In this thesis, we show that a correct account of “zero modes” – overlooked so far in the context of analogue gravity – is essential for an accurate description of the Hawking process, and results in a excellent comparison with recent experimental data. In addition, we characterize the entanglement shared among quantum excitations and show that they exhibit tripartite entanglement. In a second part, we investigate the short and long time propagation of nonlinear fluids within a hydrodynamic framework and by means of mathematical methods developed by Riemann and Whitham. In particular, we study the oscillating structure and the dynamics of dispersive shock waves which arise after a wave breaking event. We obtain a weak shock theory, from which we can extract a quantitative description of experimentally relevant parameters, such as the wave breaking time, the velocity of the solitonic edge of the shock or the contrast of its fringes
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Books on the topic "Analogue gravity"

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Faccio, Daniele, Francesco Belgiorno, Sergio Cacciatori, Vittorio Gorini, Stefano Liberati, and Ugo Moschella, eds. Analogue Gravity Phenomenology. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00266-8.

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Belgiorno, Francesco, Stefano Liberati, Daniele Faccio, Vittorio Gorini, and Sergio Cacciatori. Analogue Gravity Phenomenology: Analogue Spacetimes and Horizons, from Theory to Experiment. Springer London, Limited, 2013.

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Analogue Gravity Phenomenology Analogue Spacetimes And Horizons From Theory To Experiment. Springer International Publishing AG, 2013.

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Jacquet, Maxime J. Negative Frequency at the Horizon: Theoretical Study and Experimental Realisation of Analogue Gravity Physics in Dispersive Optical Media. Springer International Publishing AG, 2018.

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Jacquet, Maxime. Negative Frequency at the Horizon: Theoretical Study and Experimental Realisation of Analogue Gravity Physics in Dispersive Optical Media. Springer, 2018.

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Mashhoon, Bahram. Field Equation of Nonlocal Gravity. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198803805.003.0006.

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In extended general relativity (GR), Einstein’s field equation of GR can be expressed in terms of torsion and this leads to the teleparallel equivalent of GR, namely, GR||, which turns out to be the gauge theory of the Abelian group of spacetime translations. The structure of this theory resembles Maxwell’s electrodynamics. We use this analogy and the world function to develop a nonlocal GR|| via the introduction of a causal scalar constitutive kernel. It is possible to express the nonlocal gravitational field equation as modified Einstein’s equation. In this nonlocal gravity (NLG) theory, the gravitational field is local, but satisfies a partial integro-differential field equation. The field equation of NLG can be expressed as Einstein’s field equation with an extra source that has the interpretation of the effective dark matter. It is possible that the kernel of NLG, which is largely undetermined, could be derived from a more general future theory.
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Mashhoon, Bahram. Nonlocal Newtonian Cosmology. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198803805.003.0010.

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We explore some of the cosmological implications of nonlocal gravity (NLG) theory, in which nonlocality is due to the gravitational memory of past events. Memory dies out in space and time. The fading of memory in time implies that in NLG the strength of the gravitational interaction must decrease with cosmic time. In the Newtonian regime of NLG, the nonlocal character of gravity simulates dark matter in spiral galaxies and clusters of galaxies. However, dark matter is considered indispensable as well for structure formation in standard models of cosmology. Can nonlocal gravity solve the problem of structure formation in cosmology without recourse to dark matter? In this chapter, a beginning is made in this direction by extending nonlocal gravity in the Newtonian regime to the cosmological domain. The nonlocal analog of the Zel’dovich solution is formulated and the consequences of the resulting nonlocal Zel’dovich model are investigated in detail.
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Pruss, Alexander R. Supertasks and Deterministic Paradoxes. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198810339.003.0003.

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As a warm-up, a careful analysis of Thomson’s Lamp is given. It gives some, but not all thatmuch, support to causal finitism.Then the GrimReaper paradox is examined, and it is argued that although a number of other solutions could be attempted, causal finitism is the best solution. Other deterministic paradoxes are considered, and are argued to support causal finitism. Newtonian gravity seems to be metaphysically possible, but given causal infinitism it should be possible to have a body be pulled gravitationally by infinitely many bodies—which would result in the absurdity of infinite acceleration. Smullyan’s rod involves an infinite rod that hangs in the air by one end, though it shouldn’t. Finally, an analogy with the rejection of causal circles is considered.
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Laureno, Robert. Imaging. Edited by Robert Laureno. Oxford University Press, 2017. http://dx.doi.org/10.1093/med/9780190607166.003.0002.

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This chapter on “Imaging” examines the relative advantages and disadvantages of computed tomography (CT) and magnetic resonance imaging (MRI) scans. It compares the modalities to each other and to gross neuropathology. For several decades, neurologists have been able to view cross-sectional images of living patients. Analogous to gross neuropathology, cross-sectional imaging displays the brain as an entire organ but does not demonstrate microscopic tissue or cellular pathology. By allowing practitioners to view sections of brain and spinal cord in vivo, imaging has improved neurologic practice and facilitated clinical research. This chapter deals with imaging topics that are important to the neurologist. The timing of scans, the effects of gravity, and the importance of plane of section are considered. Imaging is compared to gross neuropathology, and MRI is compared to CT.
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Kachelriess, Michael. Quantum Fields. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.001.0001.

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This book introduces quantum field theory, together with its most important applications to cosmology and astroparticle physics, in a coherent framework. The path-integral approach is employed right from the start, and the use of Green functions and generating functionals is illustrated first in quantum mechanics and then in scalar field theory. Massless spin one and two fields are discussed on an equal footing, and gravity is presented as a gauge theory in close analogy with the Yang–Mills case. Concepts relevant to modern research such as helicity methods, effective theories, decoupling, or the stability of the electroweak vacuum are introduced. Various applications such as topological defects, dark matter, baryogenesis, processes in external gravitational fields, inflation and black holes help students to bridge the gap between undergraduate courses and the research literature.
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Book chapters on the topic "Analogue gravity"

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Rousseaux, Germain. "The Basics of Water Waves Theory for Analogue Gravity." In Lecture Notes in Physics, 81–107. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00266-8_5.

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Keser, Aydın Cem. "Analogue Stochastic Gravity in Strongly Interacting Bose–Einstein Condensates." In Classical Analogies in the Solution of Quantum Many-Body Problems, 33–69. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00488-0_3.

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Weinfurtner, Silke, Edmund W. Tedford, Matthew C. J. Penrice, William G. Unruh, and Gregory A. Lawrence. "Classical Aspects of Hawking Radiation Verified in Analogue Gravity Experiment." In Lecture Notes in Physics, 167–80. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00266-8_8.

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Rubino, Eleonora, Francesco Belgiorno, Sergio Luigi Cacciatori, and Daniele Faccio. "Laser Pulse Analogues for Gravity." In Lecture Notes in Physics, 247–73. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00266-8_11.

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Seltmann, Martin. "Spacetime Structure: Analogy in Condensed Matter and Quantum Information." In Experimental Search for Quantum Gravity, 91–104. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-64537-7_14.

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Baleanu, Dumitru, and Sergiu I. Vacaru. "Fractional Analogous Models in Mechanics and Gravity Theories." In Fractional Dynamics and Control, 199–207. New York, NY: Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4614-0457-6_16.

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"The roots of analogue gravity." In Hawking Radiation, 137–51. WORLD SCIENTIFIC, 2018. http://dx.doi.org/10.1142/9789814508544_0008.

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Brown, William. "Knowing Not What To Believe: Digital Space and Entanglement in Life of Pi, Gravity, and Interstellar." In Screen Space Reconfigured. Nieuwe Prinsengracht 89 1018 VR Amsterdam Nederland: Amsterdam University Press, 2020. http://dx.doi.org/10.5117/9789089649928_ch02.

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In this essay, I argue that Life of Pi, Gravity, and Interstellar exemplify a cinema of entanglement. I do this by analyzing how the films’ depictions of vast space are ‘sublime’, while also considering how these sublime moments are made using computer-generated imagery. This sublime is potentially paradoxical in that the images are computer-generated (i.e. ‘fake’), while film theorists have historically considered the awe inspired by cinema to depend upon the indexicality of the (analogue) image (i.e. cinematographic images depict something real, with that reality being separate from humans). However, drawing on Immanuel Kant’s ‘mathematical sublime’ and Gilles Deleuze’s ‘powers of the false’, I argue how these three films stage a sense not of sublime detachment but of sublime entanglement.
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Barbour, Julian. "The Development of Machian Themes in the Twentieth Century." In The Arguments of Time. British Academy, 2006. http://dx.doi.org/10.5871/bacad/9780197263464.003.0005.

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This chapter charts the complicated legacy of Mach's critique of absolute space and time. In 1902, Poincaré achieved a clear formulation of what a truly Machian mechanics should accomplish: it should permit a unique prediction of future motion on the basis of just the relative separations of bodies, and these separations' rates of change. However, this work made no impact on Einstein, despite his admiration for Mach. The discussion explains how several independent ideas that dominated Einstein's thinking about space, time and matter led him to a quite different interpretation (or misinterpretation) of Mach. This chapter also argues that, despite the misinterpretation, general relativity is perfectly Machian (in a sense that is the analogue for field theories of Poincaré's criterion), and that this shows general relativity to be ‘timeless’ in a certain sense, which is suggestive of quantum gravity.
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"Cosmic analogies in gravity." In Cosmic Analogies, 115–45. WORLD SCIENTIFIC (EUROPE), 2022. http://dx.doi.org/10.1142/9781800613430_0004.

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Conference papers on the topic "Analogue gravity"

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Vocke, D., T. Roger, D. Faccio, F. Marino, I. Carusotto, E. M. Wright, and A. Picozzi. "Analogue gravity in photon fluids." In Proceedings of the MG14 Meeting on General Relativity. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813226609_0167.

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TONIATO, JÚNIOR D., ÉRICO GOULART, MARIO NOVELLO, and FELIPE T. FALCIANO. "A NOVEL ASPECT OF ANALOGUE GRAVITY." In Proceedings of the MG13 Meeting on General Relativity. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814623995_0314.

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Visser, Matt. "Analogue spacetimes: toy models for "quantum gravity''." In From Quantum to Emergent Gravity: Theory and Phenomenology. Trieste, Italy: Sissa Medialab, 2008. http://dx.doi.org/10.22323/1.043.0042.

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Faccio, D., F. Belgiorno, S. Cacciatori, M. Clerici, V. Gorini, G. Ortenzi, L. Rizzi, E. Rubino, and V. G. Sala. "Analogue gravity and ultrashort laser pulse filamentation." In SPIE Photonics Europe, edited by Benjamin J. Eggleton, Alexander L. Gaeta, and Neil G. R. Broderick. SPIE, 2010. http://dx.doi.org/10.1117/12.855845.

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Karpachevskyy, Taras, and Swavik Spiewak. "Gravity-Assisted, Passive Cancellation of Disturbances for Inertial Sensors." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-65775.

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Continuing enhancements in Microsystem Technologies facilitate the development of inertial sensors — accelerometers and gyroscopes — of unprecedented performance to cost ratio and broaden the frontiers of their application. Of particular interest, because of their immunity to ambient disturbances, are sensors equipped with high resolution Electro-Mechanical ΣΔ converters and with a high speed, digital serial signal transmission. The digital circuitry of these sensors reaches the accuracy of 0.02 parts-per-million (ppm). However, the analogue transducers of measured physical quantities into electrical signals inside of the even best inertial sensors are prone to inherent imperfections of analog systems such as nonlinearity, cross-sensitivity, or noise. The best accuracy of these transducers is about two orders of magnitude worse than that of the electrical circuitry. The overall accuracy can be greatly improved by using corrective filters that cancel the effects of imperfections in the analogue transducers. The effectiveness of these filters hinges upon the accuracy of identifying comprehensive models of the analogue transducers. Ambient disturbances, in particular mechanical vibrations, greatly deteriorate the accuracy of identification. Their impact can be attenuated to some extent by using vibration isolation platforms. The effectiveness of attenuation is usually good at the frequencies above 5–10 Hz, however it is poor at low frequencies. This poor attenuation is a significant disadvantage since the low frequency phenomena in inertial sensors have pronounced impact on their suitability for a broad class of applications (e.g., navigation). The presented research focuses on the design of a passive vibration isolation device in which horizontal movement is coupled to tilt in a way that a component of the gravity perceived by the tested inertial sensor effectively cancels out the horizontal acceleration coming from the ambient vibrations.
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Dorais, Gregory A. "An Artificial-Gravity Space-Settlement Ground-Analogue Design Concept." In AIAA SPACE 2016. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2016. http://dx.doi.org/10.2514/6.2016-5388.

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CONSOLI, M. "THE FAR-INFRARED REGION OF THE SM VACUUM AS A POSSIBLE GRAVITY ANALOGUE." In Proceedings of the MG12 Meeting on General Relativity. WORLD SCIENTIFIC, 2012. http://dx.doi.org/10.1142/9789814374552_0171.

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Rouverand, Léa, Cerise Cuny, Elena López-Contreras González, Marine Prunier, Mathéo Fouchet, Nicolas Wattelle, Valentine Bourgeois, Quentin Royer, and Marie Delaroche. "Experiment collaboration program during a Martian analogue mission to introduce young students to human space exploration." In Symposium on Space Educational Activities (SSAE). Universitat Politècnica de Catalunya, 2022. http://dx.doi.org/10.5821/conference-9788419184405.090.

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The last decade has demonstrated an increased public and private interest towards crewed missions through the emergence of New Space and the Artemis program. There is therefore a need to form the next generation of scientists to prepare future crewed space exploration missions. In this context, it is important to familiarize teenagers with the scientific issues of today’s world and to inspire them to engage in the space sector. Crew 263 is a group of seven students preparing a Martian analogue mission at the Mars Desert Research Station (MDRS) in the desert of Utah (United States). A Martian analogue mission at the MDRS, because is the perfect set-up to introduce young students to human space exploration. In the context of their mission, Crew 263 has organized a program of space educational activities for middle and high school students surrounding the topics of altered gravity, astronomy, health and safety procedures and robotic systems. Precisely, a set of four experiments that will be performed by the students was conceived to bring into light the various scientific topics surrounding space exploration missions. The experiment “Plants in Microgravity” aims to illustrate the influence of gravity on plant growth by planting seeds in pots mounted on a rotating platform in a vertical plane, which will disturb their gravitational cues. “Beginner Astronomer” aims to introduce students to astronomy and astrophotography by establishing with the students a list of galaxies/nebulas to be observed during the Mission. Then, for “Emergency situation at the MDRS” students will put into practice the scientific approach by creating protocols to mitigate risk situations during space exploration missions. Finally, for the “Perseverance’s little brother” experiment, students will develop a small rover to analyze the atmosphere condition around the MDRS station. To maximize their involvement, prior to the mission at the MDRS, the middle and high school students prepare the experiments with the support of the crew. Then, the prepared experiment will be performed in parallel with the crew while they are simulating Martian life. To allow students to be immersed in the mission when the crew will be at the MDRS, short podcasts will be recorded describing the crew’s daily life and the evolution of the different experiments. This podcast will be sent to the classes during the simulation, thus allowing the students to have an insight on the daily life of the analogue astronauts at the station.
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Sapiie, B. "Mechanism of Gravity-Driven Deformation Using Sandbox Modeling: A Case Study of The Tarakan Sub-Basin, East Kalimantan." In Indonesian Petroleum Association 44th Annual Convention and Exhibition. Indonesian Petroleum Association, 2021. http://dx.doi.org/10.29118/ipa21-g-286.

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Based on the observations of subsurface and bathymetric maps, various structural patterns are observed in the Tarakan Basin, especially in the Tarakan and Tidung Sub-basins. One of the hypotheses put forward in this study that the gravity-driven mechanism is responsible to generate the normal faults system and folds -thrust belt in the offshore Tarakan Basin. We conducted an integrated study using palinspatic reconstructions of several seismic sections and an analogue-sandbox modeling to observe and explain this gravity-driven. The deformation modeling, which is controlled by gravity requires special conditions that can trigger the movement. The three main parameters that cause gravity deformation to occur are lithology, loading, and slope. In the case of the Tarakan Basin, modeling was carried out by referring to the results of 2D-seismic palinspatic reconstructions. Besides, the additional information as a basis for modeling is also based on the current topographic and bathymetric data. The tectonic reconstruction is used as a reference for paleo-stress data. In theory, one of the factors determining the occurrence of this mechanism is the presence of detachment. This detachment manifests the over-pressure fluid anomaly in the rock, such as over-pressure shale and salt layers. To simulate the conditions that may closely be like the behavior in this detachment, bead materials were selected in the sandbox modeling. Twenty-two experiments were conducted to test the bead as the materials in this modeling, and more than thirty experiments were carried out to model this case. From more than ten realizations, the model with the closest results to seismic interpretation and palinspastic analyses were chosen. From the results of experiments that have been conducted, the development of thrust faults related to the development of normal faults. This evidence is in line with the deformation of gravity-driven mechanism.
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Ferreira, Tiago D., João Novo, Orfeu Bertolami, Nuno A. Silva, and Ariel Guerreiro. "Analogue cosmology: using techniques from nonlinear optics to study modified theories of gravity with non-minimal coupling between curvature and matter." In Nonlinear Optics and Applications XII, edited by Anatoly V. Zayats, Mario Bertolotti, and Alexei M. Zheltikov. SPIE, 2021. http://dx.doi.org/10.1117/12.2592316.

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