Relevant bibliographies by topics / Energy curvature

Academic literature on the topic 'Energy curvature'

Author: Grafiati
Published: 11 March 2023

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Journal articles on the topic "Energy curvature"

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Oakley, William S. "Resolving the electron-positron mass annihilation mystery." International Journal of Scientific Reports 1, no. 6 (October 22, 2015): 250. http://dx.doi.org/10.18203/issn.2454-2156.intjscirep20150954.

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<p class="abstract"><span lang="EN-US">Mutual annihilation of low energy electrons and positrons results in two photons of equal energy. The annihilation is consistent with charge conservation but both particles have positive mass, so how do two positive masses annihilate? The issue is resolved by considering particles electromagnetic (EM) energy localized by curvature of the space-time metric. The curvature extends into the surrounding metric forming the particle’s gravitational field, usually attributed as due to mass by the observer, but only the curved space-time metric exists. In principle both positive and negative metric curvatures could exist and display positive and negative masses respectively, but both would possess positive energy. For the electron EM energy circulates in the observer domain and outside but close to an event horizon (EH), the positive metric curvature results in the impression of positive mass. Symmetry suggests positron energy circulates inside an EH and should have negative curvature. It is posited metric field curvature reverses on passage through an event horizon, thus the positron positive mass apparent to the observer arises from negative metric curvature inside the particle EH. The opposite metric curvatures of the electron and positron cancel on annihilation, eliminating their gravitational effects and thereby their apparent masses.</span></p>
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Hassan, M. A., Mohd Hamdi Abdul Shukor, Sadjad Naderi, and F. Zahedi. "Effect of Curvature and Thickness of Aluminum Shells on the Energy Absorption in Low Velocity Impact." Advanced Materials Research 488-489 (March 2012): 40–45. http://dx.doi.org/10.4028/www.scientific.net/amr.488-489.40.

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The objective of this study is to investigate the behavior of Aluminum shells AA5083-H116 under low energy impact and the effects of curvature and thickness were assessed under different impact velocities (5.6, 7.5, 9.5, 11.5 m/s). LS-DYNA software was used to evaluate the amount of absorbed energy by the Aluminum shell during impact under different curvature parameter c. The results showed that the amount of absorbed energy incereases with increasing curvature in a linear relationship which make it possible to predict the amount of absorbed energy for this aluminum alloy under different impact energy. Aslo, the amount of absorbed energy has a direct linear relation with the rise of impact energy. The slopes of curves for absorbed energy with respect to the imapct energy are similar for all curvatures. Shell thickness has inverse effect on the amount of absorbed energy and the relation shows similar ternds with diffrent curvatures. However thick shells show significant increase in maximum force and better stability in the dynamic behavior with less fluctuations in the impact force as the cuvature increases.
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SIMANCA, SANTIAGO R. "PRECOMPACTNESS OF THE CALABI ENERGY." International Journal of Mathematics 07, no. 02 (April 1996): 245–54. http://dx.doi.org/10.1142/s0129167x96000141.

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For any complex manifold of Kähler type, the L2-norm of the scalar curvature of an extremal Kähler metric is a continuous function of the Kähler class. In particular, if a convergent sequence of Kähler classes are represented by extremal Kähler metrics, the corresponding sequence of L2-norms of the scalar curvatures is convergent. Similarly, the sequence of holomorphic vector fields associated with a sequence of extremal Kähler metrics with converging Kähler classes is convergent.
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Wang, Dan, Zhili Hu, Gang Peng, and Yajun Yin. "Surface Energy of Curved Surface Based on Lennard-Jones Potential." Nanomaterials 11, no. 3 (March 9, 2021): 686. http://dx.doi.org/10.3390/nano11030686.

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Although various phenomena have confirmed that surface geometry has an impact on surface energy at micro/nano scales, determining the surface energy on micro/nano curved surfaces remains a challenge. In this paper, based on Lennard-Jones (L-J) pair potential, we study the geometrical effect on surface energy with the homogenization hypothesis. The surface energy is expressed as a function of local principle curvatures. The accuracy of curvature-based surface energy is confirmed by comparing surface energy on flat surface with experimental results. Furthermore, the surface energy for spherical geometry is investigated and verified by the numerical experiment with errors within 5%. The results show that (i) the surface energy will decrease on a convex surface and increase on a concave surface with the increasing of scales, and tend to the value on flat surface; (ii) the effect of curvatures will be obvious and exceed 5% when spherical radius becomes smaller than 5 nm; (iii) the surface energy varies with curvatures on sinusoidal surfaces, and the normalized surface energy relates with the ratio of wave height to wavelength. The curvature-based surface energy offers new insights into the geometrical and scales effect at micro/nano scales, which provides a theoretical direction for designing NEMS/MEMS.
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Smith, Keith T. "Curvature with interacting dark energy." Science 371, no. 6536 (March 25, 2021): 1329.5–1330. http://dx.doi.org/10.1126/science.371.6536.1329-e.

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Cárdenas, Víctor H., and Roberto G. Perez. "Holographic dark energy with curvature." Classical and Quantum Gravity 27, no. 23 (November 8, 2010): 235003. http://dx.doi.org/10.1088/0264-9381/27/23/235003.

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Balakin, Alexander B., Diego Pav n, Dominik J. Schwarz, and Winfried Zimdahl. "Curvature force and dark energy." New Journal of Physics 5 (July 4, 2003): 85. http://dx.doi.org/10.1088/1367-2630/5/1/385.

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Durand, M., P. Schuck, and X. Vi�as. "On the nuclear curvature energy." Zeitschrift f�r Physik A Hadrons and Nuclei 346, no. 2 (June 1993): 87–100. http://dx.doi.org/10.1007/bf01294624.

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Zhang, Xuhui, Yan Guo, Fulin Zhu, Xiaoyu Chen, Hao Tian, and Hengtao Xu. "A Linear-Arc Composite Beam Piezoelectric Energy Harvester Modeling and Finite Element Analysis." Micromachines 13, no. 6 (May 29, 2022): 848. http://dx.doi.org/10.3390/mi13060848.

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To improve the output performance of the piezoelectric energy harvester, this paper proposed the design of a linear-arc composite beam piezoelectric energy harvester (PEH-C). First the nonlinear restoring force model of a composite beam was obtained by the numerical simulation method. Afterwards, the corresponding coupled governing equations were derived by using the generalized Hamilton principle, laying the foundation for subsequent in-depth research. After this, a finite element simulation was performed in the COMSOL software to simulate the output voltage, stress distribution, and resonance frequency of the PEH-C under different curvatures. In this way, the effect of curvature change on the PEH-C was analyzed. Finally, the PEH-C with a curvature of 40 m−1 was prepared, and an experimental platform was built to verify the correctness of the relevant analysis. The results showed that the resonant frequency of the PEH-C can be changed by changing the curvature, and that the stress on the composite beam will increase after the arc segment is introduced. When the curvature of the PEH-C was 40 m−1, the open-circuit output voltage was 44.3% higher than that of the straight beam.
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Saffari, H., R. Tabatabaei, and S. H. Mansouri. "Vibration Analysis of Circular Arch Element Using Curvature." Shock and Vibration 15, no. 5 (2008): 481–92. http://dx.doi.org/10.1155/2008/149393.

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In this paper, a finite element technique was used to determine the natural frequencies, and the mode shapes of a circular arch element was based on the curvature, which can fully represent the bending energy and by the equilibrium equations, the shear and axial strain energy were incorporated into the formulation. The treatment of general boundary conditions dose need a consideration when the element is incorporated by the curvature-based formula. This can be obtained by the introduction of a transformation matrix between nodal curvatures and nodal displacements. The equation of the motion for the element was obtained by the Lagrangian equation. Four examples are presented in order to verify the element formulation and its analytical capability.
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Dissertations / Theses on the topic "Energy curvature"

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Ligo, Richard G. "Conformal transformations, curvature, and energy." Diss., University of Iowa, 2017. https://ir.uiowa.edu/etd/5550.

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Space curves have a variety of uses within mathematics, and much attention has been paid to calculating quantities related to such objects. The quantities of curvature and energy are of particular interest to us. While the notion of curvature is well-known, the Mobius energy is a much newer concept, having been first defined by Jun O'Hara in the early 1990s. Foundational work on this energy was completed by Freedman, He, and Wang in 1994, with their most important result being the proof of the energy's conformal invariance. While a variety of results have built those of Freedman, He, and Wang, two topics remain largely unexplored: the interaction of curvature and Mobius energy and the generalization of the Mobius energy to curves with a varying thickness. In this thesis, we investigate both of these subjects. We show two fundamental results related to curvature and energy. First, we show that any simple, closed, twice-differentiable curve can be transformed in an energy-preserving and length-preserving way that allows us to make the pointwise curvature arbitrarily large at a point. Next, we prove that the total absolute curvature of a twice-differentiable curve is uniformly bounded with respect to conformal transformations. This is accomplished mainly via an analytic investigation of the effect of inversions on total absolute curvature. In the second half of the thesis, we define a generalization of the Mobius energy for simple curves of varying thickness that we call the "nonuniform energy." We call such curves "weighted knots," and they are defined as the pairing of a curve parametrization and positive, continuous weight function on the same domain. We then calculate the first variation formulas for several different variations of the nonuniform energy. Variations preserving the curve shape and total weight are shown to have no minimizers. Variations that "slide" the weight along the curve are shown to preserve energy is special cases.
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Vikström, Anton. "Curvature-Induced Energy Band Tilting in Finite-Length Carbon Nanotubes." Thesis, Umeå universitet, Institutionen för fysik, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-49673.

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The near-Fermi-energy energy band structure of carbon nanotubes is given by cross-sections of the graphene Dirac cones near the K and K' points. Using second-order perturbation theory and a nearest-neighbor approximated tight-binding model, curvature-induced corrections to the graphene-based effective model are derived. In addition to the already known Dirac-point shift, the curvature is shown to cause not only a warping of the Dirac cone, tantamount to a slight compression and a correction to the overall Fermi velocity, but also a tilting of the Dirac cone and the associated nanotube energy bands. This tilting results in a velocity asymmetry for left- and right-going waves and two different kinds of excitations, allowing for varying degeneracy in the same sample. Previous experiments have shown irregularities in the level degeneracy and should be reconsidered in this context.
Energibandstrukturen för kolnanorör ges av tvärsnitt av grafens Dirac-koner nära K- och K'-punkterna. Medelst andra ordningens störningsteori och en tight-binding-modell med närmaste-granne-approximationen härleds de kurvaturinducerade korrektionerna till den grafenbaserade effektiva modellen. Utöver det redan kända Dirac-punkt-skiftet så visas kurvaturen orsaka inte bara en förvrängning av Dirac-konen, liktydigt med en mild kompression och en korrektion till den övergripande fermihastigheten, utan också en lutning av Dirac-konen och de associerade nanorörsenergibanden. Denna lutning resulterar i en hastighetsasymmetri för vänster- och högergående vågor och två olika sorters excitationer, vilket tillåter för varierande degeneration i samma prov. Tidigare experiment har visat oregelbundenheter i nivådegenerationen och bör omprövas i denna kontext.
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Venkataraman, Kartik. "Animating skin with wrinkles using curvature evolution and energy minimization /." Diss., Digital Dissertations Database. Restricted to UC campuses, 2008. http://uclibs.org/PID/11984.

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Kuyrukcu, Halil. "Kaluza-klein Reduction Of Higher Curvature Gravity Models." Phd thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/3/12611748/index.pdf.

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The standard Kaluza-Klein theory is reviewed and its basic equations are rewritten in an anholonomic basis. A five dimensional Yang-Mills type quadratic and cubic curvature gravity model is introduced. By employing the Palatini variational principle, the field equations and the stress-energy tensors of these models are presented. Unification of gravity with electromagnetism is achieved through the Kaluza-Klein reduction mechanism. Reduced curvature invariants,field equations and stress-energy tensors in four dimensional space-time are obtained. The structure of interactions among the gravitational, electromagnetic and massless scalar fields are demonstrated in detail. It is shown that in addition to a set of generalized Maxwell and Yang-Mills type gravity equations the Lorentz force also emerges from this theory. Solutions of the standard Kaluza-Klein theory are explicitly demonstrated to be intrinsically contained in the quadratic model.
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Vincent, Aaron. "Curvature spectra and nongaussianities in the Roulette Inflation model of the early universe." Thesis, McGill University, 2008. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=21998.

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We explore the "Roulette Inflation" model, a variety of two-field Kahler moduli inflation scenario with a nonstandard kinetic term derived from Type IIB string theory in the large-volume compactification. We provide an overview of the model and the cosmological tools used to compute observables. Our calculations show that entropy perturbations can account for up to 90% of Ps(k) at COBE scales. We further show that the effective single-field result over-estimates the scalar spectral index; a full calculation predicts a slightly red-shifted spectrum 0.92 < ns < 0.98. Calculation of nongaussianity from the superhorizon evolution of adiabatic modes shows that for most trajectories examined, Roulette inflation predicts small, positive fNL, which would be unmeasurable by the upcoming 9-year WMAP data and the Planck mission. Should they be detectable, momentum-dependent bispectra would provide a good discriminator between models and inflationary trajectories within models.
Nous etudions le modele d'inflation de type "Roulette", un modele base sur la relaxation de modules de Kahler sur une variete Calabi-Yau, ayant un terme cinetique non-trivial et provenant de la theorie des cordes de Type IIB, dans le contexte de la compactification a grand volume. Nous demontrons que l'influence des perturbations d'entropie peuvent compter pour jusqu'a 90% de Ps(k) a l'echelle de COBE. Nous demontrons que le resultat effectif provenant de la theorie a un seul champ surestime ns; un calcul complet predit un spectre decale vers le rouge 0.92 < ns < 0.98. Nous calculons finalement la non-gaussianite des perturbations adiabatiques resultant de leur evolution a l'exterieur du rayon de Hubble, et arrivons a des predictions de fNL ≪ 1, ce qui ne serait pas mesurable par les observations des prochaines annees. Toutefois, s'il s'avere possible de detecter un bispectre dependant du nombre d'onde k, ceci servirait d'excellent moyen de diff´erentier divers modeles d'inflation.
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Khoo, Bee Jin. "An experimental examination of ideas in the curvature elasticity of lyotropic liquid crystals." Thesis, Imperial College London, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.244046.

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Lutman, Alberto. "Impact of the wakefields and of an initial energy curvature on a Free Electron Laser." Doctoral thesis, Università degli studi di Trieste, 2010. http://hdl.handle.net/10077/3678.

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2008/2009
For an X-ray free electron laser (FEL), a high-quality electron bunch with low emittance, high peak current and energy is needed. During the phases of acceleration, bunch compression and transportation, the electron beam is subject to radio frequency curvature and to wakefields effects. Thus, the energy profile of the electron beam can present a parabolic profile, which has important electromagnetic effects on the FEL process. The quality of the electron beam is also degraded by the interaction with the low-gap undulator vacuum chamber. In our work we first analyze this interaction, deriving a formula to evaluate the longitudinal and the transversal wakefields for an elliptical cross section vacuum chamber, obtaining accurate results in the short range. Subsequently within the Vlasov-Maxwell one-dimensional model, we derive the Green functions necessary to evaluate the radiation envelope, having as initial conditions both an energy chirp and curvature on the electrons and eventually an initial bunching, which is useful to treat the harmonic generation FEL cascade configuration. This allows to study the impact of the elecron beam energy profile on the FEL performance. Using the derived Green functions we discuss FEL radiation properties such as bandwidth, frequency shift, frequency chirp and velocity of propagation. Finally, we propose a method to achieve ultra-short FEL pulses using a frequency chirp on the seed laser and a suitable electron energy profile.
XXII Ciclo
1980
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Melo, Marcelo Ferreira de. "Funcionais paramÃtricos elÃpticos em variedades riemannianas." Universidade Federal do CearÃ, 2009. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=4102.

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CoordenaÃÃo de AperfeiÃoamento de NÃvel Superior
Conselho Nacional de Desenvolvimento CientÃfico e TecnolÃgico
Neste trabalho, consideramos funcionais paramÃtricos elÃpticos como generalizaÃÃes naturais para o clÃssico funcional Ãrea. Calculamos a primeira variaÃÃo de tais funcionais e, a partir da equaÃÃo de Euler-Lagrange, definimos a curvatura mÃdia anisotrÃpica de uma hipersuperfÃcie imersa em uma variedade Riemanniana como generalizaÃÃo natural da curvatura mÃdia usual. Em seguida, estabelecemos a fÃrmula da segunda variaÃÃo e classificamos as hipersuperfÃcies rotacionalmente simÃtricas que possuem curvatura mÃdia anisotrÃpica constante. A fim de compreender a estabilidade dos exemplo rotacionais,deduzimos a primeira e a segunda fÃrmulas de Minkowski. AlÃm disso, no contexto anisotrÃpico, apresentamos as equaÃÃes fundamentais de Weingarten, Codazzi e Gauss e, por fim, estudamos a harmonicidade da aplicaÃÃo de Gauss.
It is stated that critical points of a parametric elliptic functional in a Riemannian manifold are hypersurfaces with prescrebed anisotropic mean curvature. We prove that the anisotropic Gauss map of surfaces immersed in Euclidean space with constant anisotropic mean curvature is a harmonic map. In the case of rotatioally invariat functionals in some homogeneous three-dimensional ambients, we present a abridged version of a existence result for constant anisotropic mean curvature surfaces as cylinders, spheres, tori and annuli corresponding to the anisotropic analogs of onduloids and nodoids. In the Euclidean case M = R3, examples of stable critical points are provided by the Wulff shapes associated to functional F. Paralleling the case of constant curvature mean spheres, a characterization of Wulff shapes is provided, which answers affirmatively a question posed by M. Koiso and B. Parmer in [13].
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Abdellatif, Ahmad Fouad Abdalwahab [Verfasser]. "On metric-affine gravitational theories with a Lagrangian quadratic in the curvature and the energy-momentum problem / Ahmad Fouad Abdalwahab Abdellatif." Greifswald : Universitätsbibliothek Greifswald, 2012. http://d-nb.info/1019426683/34.

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Filho, Francisco de Assiss Benjamim. "A partial answer to the CPE conjecture, diameter estimates and manifolds with constant energy." Universidade Federal do CearÃ, 2015. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=14748.

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CoordenaÃÃo de AperfeÃoamento de Pessoal de NÃvel Superior
Conselho Nacional de Desenvolvimento CientÃfico e TecnolÃgico
Esta tese està dividida em quatro partes. Na primeira delas estudaremos pontos crÃticos do funcional curvatura escalar total restrito ao espaÃo das mÃtricas de curvatura escalar constante e volume unitÃrio. Provaremos que sob certas condiÃÃes integrais convenientes os pontos crÃticos de tal funcional sÃo variedades de Einstein provando assim a conjectura dos pontos crÃticos neste caso. Na segunda parte, veremos duas estimativas para o primeiro autovalor do Laplaciano de uma variedade compacta com curvatura de Ricci limitada por baixo por uma constante. As estimativas que obtemos melhoram a estimativa correspondente provada por Li e Yau (1980). Na terceira parte, estamos interessados em estimar o diÃmetro de hipersuperfÃcies mÃnimas da esfera. A estimativa que encontramos depende apenas do primeiro autovalor do Laplaciano da hipersuperfÃcie considerada. Para superfÃcies imersas na esfera de dimensÃo trÃs, obtemos uma estimativa ligeiramente melhor do que a obtida no caso de dimensÃo alta. Na Ãltima parte, introduzimos o conceito de variedade de energia constante e provamos que a esfera e o toro sÃo as Ãnicas superfÃcies que tÃm energia constante. Em dimensÃo mais alta a situaÃÃo à bem diferente uma vez que o produto de uma esfera por qualquer variedade compacta tem energia constante. Entretanto, se impusermos uma condiÃÃo sobre a curvatura de Ricci, à possÃvel caracterizar a esfera tambÃm neste caso. Em seguida, aplicamos as informa-ÃÃes obtidas ao estudo de hipersuperfÃcies da esfera provando alguns resultados de rigidez desde que a hipersuperfÃcie tenha energia constante.
This thesis is divided into four parts. In the first one we study the critical points of the total scalar curvature functional restricted to the space of metrics with constant scalar curvature and volume one. We shall prove that under certain suitable integral conditions the critical points of such functional are Einstein manifolds proving this way the critical point equation conjecture in this case. In the second part, we will provide an estimate for the first eigenvalue of the Laplacian of a compact manifolds with Ricci curvature bounded from below by a constant. The estimate we obtain improves the corresponding estimate proved by Li and Yau (1980). In the third part, we are interested in to estimate the diameter of minimal hypersurfaces of the sphere. The estimate we get depends only on the first eigenvalue of the Laplacian of the considered hypersurface. For immersed surfaces on the three dimensional sphere, we obtain an estimate slightly better than the one obtained in the case of higher dimension. In the last part, we introduce the concept of manifolds with constant energy and prove that the sphere and the torus are the only compact surfaces that have constant energy. For higher dimension, the situation is very different sine the product of the sphere with any compact manifold has constant energy. Nevertheless, if we impose a condition over the Ricci curvature it is possible to characterize the sphere also in this case. After that, we apply the informations obtained to the study of hypersurfaces of the sphere proving some rigidity results provided that the hypersurfaces has constant energy.
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Books on the topic "Energy curvature"

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Cristina, Jan. Non-smooth curvature and the energy of frames. Helsinki: Suomalainen Tiedeakatemia, 2013.

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Popa, Cosmin Radu. Superior-Order Curvature-Correction Techniques for Voltage References. Springer London, Limited, 2009.

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Popa, Cosmin Radu. Superior-Order Curvature-Correction Techniques for Voltage References. Springer, 2014.

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Superiororder Curvaturecorrection Techniques For Voltage References. Springer, 2009.

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Saha, Prasenjit, and Paul A. Taylor. The Expanding Universe. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198816461.003.0008.

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This chapter covers the now generally accepted ‘concordance model’ of the Universe, along with a few other historical models that were leading candidates previously. The theoretical underpinnings of the Cosmological Principle and its observational evidence are presented. The formalism of the Friedmann equation and the Robertson–Walker metric are introduced (without derivation), and the key concepts of lookback time and comoving distance are explained. The different mass–energy constituents in the concordance cosmology (including curvature, dark matter, and dark energy) are also described, along with their developmental histories. As a somewhat tangential but exciting development, the production of gravitational waves from compact object binaries is explained using semi-classical arguments.
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Deruelle, Nathalie, and Jean-Philippe Uzan. Matter in curved spacetime. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0043.

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This chapter is concerned with the laws of motion of matter—particles, fluids, or fields—in the presence of an external gravitational field. In accordance with the equivalence principle, this motion will be ‘free’. That is, it is constrained only by the geometry of the spacetime whose curvature represents the gravitation. The concepts of energy, momentum, and angular momentum follow from the invariance of the solutions of the equations of motion under spatio-temporal translations or rotations. The chapter shows how the action is transformed, no longer under a modification of the field configuration, but instead under a displacement or, in the ‘passive’ version, under a translation of the coordinate grid in the opposite direction.
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Kennefick, Daniel. Three and a Half Principles: The Origins of Modern Relativity Theory. Edited by Jed Z. Buchwald and Robert Fox. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199696253.013.27.

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This article explores the origins of modern relativity theory. In his 1905 paper On the Electrodynamics of Moving Bodies, Albert Einstein directly addressed one of the largest issues of the time. Electrodynamics aims to describe the motion of charged particles (usually thought of as electrons), whose interaction through the electromagnetic field, as described by Maxwell’s equations, affects their respective motions. The problem was so complex because the electromagnetic field theory was not an action-at-a-distance theory. This article begins with an overview of the principle of relativity and of the constancy of the speed of light, followed by a discussion on the relativity of simultaneity, the mass–energy equivalence, and experimental tests of special relativity. It also examines the principle of equivalence, the concepts of spacetime curvature and general covariance, and Mach’s principle. Finally, it considers experimental predictions of general relativity.
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Steane, Andrew M. Relativity Made Relatively Easy Volume 2. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780192895646.001.0001.

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This is a textbook on general relativity and cosmology for a physics undergraduate or an entry-level graduate course. General relativity is the main subject; cosmology is also discussed in considerable detail (enough for a complete introductory course). Part 1 introduces concepts and deals with weak-field applications such as gravitation around ordinary stars, gravimagnetic effects and low-amplitude gravitational waves. The theory is derived in detail and the physical meaning explained. Sources, energy and detection of gravitational radiation are discussed. Part 2 develops the mathematics of differential geometry, along with physical applications, and discusses the exact treatment of curvature and the field equations. The electromagnetic field and fluid flow are treated, as well as geodesics, redshift, and so on. Part 3 then shows how the field equation is solved in standard cases such as Schwarzschild-Droste, Reissner-Nordstrom, Kerr, and internal stellar structure. Orbits and related phenomena are obtained. Black holes are described in detail, including horizons, wormholes, Penrose process and Hawking radiation. Part 4 covers cosmology, first in terms of metric, then dynamics, structure formation and observational methods. The meaning of cosmic expansion is explained at length. Recombination and last scattering are calculated, and the quantitative analysis of the CMB is sketched. Inflation is introduced briefly but quantitatively. Part 5 is a brief introduction to classical field theory, including spinors and the Dirac equation, proceeding as far as the Einstein-Hilbert action. Throughout the book the emphasis is on making the mathematics as clear as possible, and keeping in touch with physical observations.
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Marques, Marcia Alessandra Arantes, ed. Avanços em Computação Aplicada a Fluidodinâmica Computacional. Bookerfield Editora, 2021. http://dx.doi.org/10.53268/bkf21120500.

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O desenvolvimento contínuo da computação permite à ciência e a engenharia realizarem análises cada vez mais representativas da realidade física. Neste contexto, pela presente obra são reunidas comunicações de pesquisas científicas e tecnológicas que trazem avanços relacionados à aplicação de técnicas computacionais. O livro é dividido em duas seções: fluidodinâmica e computação aplicada. Por meio do primeiro capítulo são demonstrados os campos simulados de energia das ondas no reservatório da usina hidrelétrica de Tucuruí, uma das maiores do mundo em potência instalada. As simulações demonstram, por meio de 64 mapas de simulação, avanços na determinação, quantificação e representação de campos de energia de ondas para quatro condições de campos de vento soprando em dezesseis direções. No segundo capítulo é verificada a aplicação de simulação computacional na obtenção da distribuição espacial das alturas de ondas geradas pela ação de ventos severos sobre o reservatório da barragem de Jurumirim. Os avanços são evidenciados pela aplicação da técnica de modelagem paramétrica bidimensional (MPB) demonstrando o mapeamento dos campos de ondas neste que se constitui em um dos mais importantes reservatórios do sudeste do Brasil. Pelo terceiro capítulo foi realizada a análise de três importantes métodos de determinação do fetch com uma importante contribuição original, a comparação dos resultados no espaço bidimensional. O estudo é aplicado ao reservatório de San Roque, a principal fonte de água para a cidade de Córdoba, a segunda maior cidade da Argentina. O estudo permitiu afirmar que a localização do maior fetch não é condicionada pelo método adotado, como se pensava antes do estudo. No quarto capítulo foram apresentadas análises de dimensionamento de canais de navegação relacionadas ao raio de curvatura e ângulo de deriva. Os avanços atingidos pelo estudo foram motivados pela importância da movimentação de commodities agrícolas na região amazônica, sob critérios de segurança da navegação e economicidade. Por meio do quinto capítulo foi realizada uma pesquisa aplicada abordado um dos grandes desafios ambientais da atualidade, que é a utilização sustentável dos sistemas aquáticos. Foram avaliadas as concentrações de fósforo e nitrogênio nos sedimentos nas épocas seca e chuvosa e os parâmetros de adsorção de fósforo em importante rio estado do Piauí, demostrando que o período seco durante a amostragem e consequente baixa capacidade de diluição do rio contribuíram para o aumento nas concentrações de fósforo e nitrogênio total em sedimentos no corpo hídrico. No sexto capítulo foi realizada uma abordagem abrangente contemplando os estágios da semantificação de dados, desde a coleta até a publicação na Web, possibilitando a adição de significado aos dados de forma a serem compreendidos, tanto por máquinas como por pessoas. O estudo é aplicado às rotas urbanas de linhas de ônibus e, por ser escalável, demonstra potencial de extrapolação para outras localidades.
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Book chapters on the topic "Energy curvature"

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Cunillera, Francesc. "Gauss-Bonnet Curvature Corrections and the Absence of de Sitter Vacua." In Dark Energy, 171–87. Cham: Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-21468-4_9.

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Jeong, Sinwoo, and Hong Hee Yoo. "Vibration-Based Uniform Curvature Piezoelectric Energy Harvester." In Vibration Engineering for a Sustainable Future, 207–10. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-46466-0_28.

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Kumar, Yogesh, and S. Somorendro Singh. "Curvature Effect on QGP Equation of State." In XXII DAE High Energy Physics Symposium, 867–69. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-73171-1_211.

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Grieder, Peter K. F. "Temporal Structure of Showers and Front Curvature." In Exentsive Air Showers and High Energy Phenomena, 399–418. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-76941-5_9.

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Nitsche, Johannes C. C. "Periodic Surfaces That are Extremal for Energy Functionals Containing Curvature Functions." In Statistical Thermodynamics and Differential Geometry of Microstructured Materials, 69–98. New York, NY: Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4613-8324-6_6.

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Ivancic, P. C., and M. Xiao. "Cervical Spine Curvature during Simulated Rear Crashes with Energy-Absorbing Seat." In IFMBE Proceedings, 485–88. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-14515-5_124.

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Caldiroli, Paolo, and Roberta Musina. "S 2-type Parametric Surfaces with Prescribed Mean Curvature and Minimal Energy." In Nonlinear Equations: Methods, Models and Applications, 61–77. Basel: Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-8087-9_5.

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De Laurentis, M., Lorenzo Fatibene, and Mauro Francaviglia. "Dark Energy from Curvature and Ordinary Matter Fitting Ehlers-Pirani-Schild: Foundational Hypothesis." In Springer Proceedings in Physics, 127–40. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-00297-2_13.

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Garvandha, Mahesh, V. K. Narla, Dharmendra Tripathi, and O. Anwar Bég. "Modelling the Impact of Melting and Nonlinear Radiation on Reactive Buongiorno Nanofluid Boundary Layer Flow from an Inclined Stretching Cylinder with Cross-diffusion and Curvature Effects." In Energy Systems and Nanotechnology, 279–306. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-1256-5_15.

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Özdemir, E., L. Kiesewetter, K. Antorveza, T. Cheng, S. Leder, D. Wood, and A. Menges. "Towards Self-shaping Metamaterial Shells:." In Proceedings of the 2021 DigitalFUTURES, 275–85. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-5983-6_26.

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AbstractDouble curvature enables elegant and material-efficient shell structures, but their construction typically relies on heavy machining, manual labor, and the additional use of material wasted as one-off formwork. Using a material’s intrinsic properties for self-shaping is an energy and resource-efficient solution to this problem. This research presents a fabrication approach for self-shaping double-curved shell structures combining the hygroscopic shape-changing and scalability of wood actuators with the tunability of 3D-printed metamaterial patterning. Using hybrid robotic fabrication, components are additively manufactured flat and self-shape to a pre-programmed configuration through drying. A computational design workflow including a lattice and shell-based finite element model was developed for the design of the metamaterial pattern, actuator layout, and shape prediction. The workflow was tested through physical prototypes at centimeter and meter scales. The results show an architectural scale proof of concept for self-shaping double-curved shell structures as a resource-efficient physical form generation method.
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Conference papers on the topic "Energy curvature"

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Prosekin, Anton, Stanislav R. Kelner, and Felix A. Aharonian. "On the synchro-curvature radiation." In HIGH ENERGY GAMMA-RAY ASTRONOMY: 6th International Meeting on High Energy Gamma-Ray Astronomy. Author(s), 2017. http://dx.doi.org/10.1063/1.4969038.

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Hauenstein, Jacob D., and Timothy S. Newman. "Toward Energy Efficient Curvature in Range Images." In 2022 IEEE International Symposium on Multimedia (ISM). IEEE, 2022. http://dx.doi.org/10.1109/ism55400.2022.00059.

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Zaza, Osmanov, Felix A. Aharonian, Werner Hofmann, and Frank Rieger. "Centrifugally induced curvature drift instability in AGN." In HIGH ENERGY GAMMA-RAY ASTRONOMY: Proceedings of the 4th International Meeting on High Energy Gamma-Ray Astronomy. AIP, 2008. http://dx.doi.org/10.1063/1.3076708.

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Burgess, Cliff, and Martin Kamela. "Constant curvature effective actions." In The 20th annual meeting of the Montreal-Rochester-Syracuse-Toronto (MRST) conference on high energy physics:Toward the theory of everything. American Institute of Physics, 1998. http://dx.doi.org/10.1063/1.57077.

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Voisin, Guillaume, Silvano Bonazzola, and Fabrice Mottez. "Curvature radiation from a quantum-electrodynamics point of view." In HIGH ENERGY GAMMA-RAY ASTRONOMY: 6th International Meeting on High Energy Gamma-Ray Astronomy. Author(s), 2017. http://dx.doi.org/10.1063/1.4969039.

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Liu, Liang-Chun, Mei-Jiau Huang, and Ronggui Yang. "Curvature Effect on the Thermal Conductivity of Nanowires." In ASME 2008 Heat Transfer Summer Conference collocated with the Fluids Engineering, Energy Sustainability, and 3rd Energy Nanotechnology Conferences. ASMEDC, 2008. http://dx.doi.org/10.1115/ht2008-56339.

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Directional preference of the ballistic phonon transport plays an important role in the effective thermal conductivity of nanostructures. Curved nanowires can have very different thermal conductivities from straight ones. In this work, a Monte-Carlo simulator is developed and used to investigate the curvature effect on the phonon transport in silicon nanowires. The results show that the curvature of geometry does not alter the phonon transport efficiency in large wires but decreases the effective thermal conductivity in their nano-sized counterparts.
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Sahoo, Bindusar, and Aalok Misra. "Non-Supersymmetric Extremal Black Holes in Curvature squared N = 2 Supergravity." In THEORETICAL HIGH ENERGY PHYSICS: International Workshop on Theoretical High Energy Physics. AIP, 2007. http://dx.doi.org/10.1063/1.2803806.

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MIELKE, ECKEHARD W., FJODOR V. KUSMARTSEV, and FRANZ E. SCHUNCK. "INFLATION, BIFURCATIONS OF NONLINEAR CURVATURE LAGRANGIANS AND DARK ENERGY." In Proceedings of the MG11 Meeting on General Relativity. World Scientific Publishing Company, 2008. http://dx.doi.org/10.1142/9789812834300_0039.

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Abood, Habeeb M., and Farah Hassan Al-Hussaini. "Constant curvature of a locally conformal almost cosymplectic manifold." In CURRENT TRENDS IN RENEWABLE AND ALTERNATE ENERGY. Author(s), 2019. http://dx.doi.org/10.1063/1.5095088.

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Talal, A. A., W. H. Khaleel, B. N. Hassan, K. S. Abdul-Razzaq, and A. A. Dawood. "Effect of horizontal curvature on reinforced concrete deep beams." In 3RD INTERNATIONAL CONFERENCE ON ENERGY AND POWER, ICEP2021. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0107961.

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