Academic literature on the topic 'Casimir Effects'

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Journal articles on the topic "Casimir Effects"

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MILTON, K. A., E. K. ABALO, PRACHI PARASHAR, NIMA POURTOLAMI, IVER BREVIK, and S. Å. ELLINGSEN. "REPULSIVE CASIMIR EFFECTS." International Journal of Modern Physics: Conference Series 14 (January 2012): 181–99. http://dx.doi.org/10.1142/s2010194512007325.

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Like Casimir's original force between conducting plates in vacuum, Casimir forces are usually attractive. But repulsive Casimir forces can be achieved in special circumstances. These might prove useful in nanotechnology. We give examples of when repulsive quantum vacuum forces can arise with conducting materials.
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MILTON, K. A., E. K. ABALO, PRACHI PARASHAR, NIMA POURTOLAMI, IVER BREVIK, and S. Å. ELLINGSEN. "REPULSIVE CASIMIR EFFECTS." International Journal of Modern Physics A 27, no. 15 (June 14, 2012): 1260014. http://dx.doi.org/10.1142/s0217751x12600147.

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Like Casimir's original force between conducting plates in vacuum, Casimir forces are usually attractive. But repulsive Casimir forces can be achieved in special circumstances. These might prove useful in nanotechnology. We give examples of when repulsive quantum vacuum forces can arise with conducting materials.
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Milonni, Peter W. "Casimir effects." Physica Scripta 76, no. 6 (October 2007): C167—C171. http://dx.doi.org/10.1088/0031-8949/76/6/n01.

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Ma, Jian Ming Bryan, Samuel F. Asokanthan, and Li Ying Jiang. "Surface Effects Considerations for the Design of Casimir Actuated Nanoswitches." Applied Mechanics and Materials 110-116 (October 2011): 1036–43. http://dx.doi.org/10.4028/www.scientific.net/amm.110-116.1036.

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New techniques that can control Casimir forces in nanosacle structures may soon ensure the physical realization of switchable Casimir-force devices. In order to provide useful insights into the behaviour of this class of switches, the idea of Casimir-force actuation window has been proposed here to assist in the design of such switches. The influence of surface effects including residual surface stress and surface elasticity on the pull-in parameters of Casimir actuated switches has been demonstrated. These effects, together with other currently known difficulties due to uncertainties such as surface roughness and trapped electric charge may hinder the realization of this class of devices. An Euler-Bernoulli beam model has been employed to demonstrate surface effects in a nanocantilever switch, and numerical solutions employing a finite difference approach have been obtained for the static bending of this switch. The results demonstrate that surface effects play a significant role in the selection of basic design parameters of Casimir actuated switches, such as static deflection and detachment length. Threshold value of residual surface stress is also studied for these switches. The predictions reveal that exclusion of surface effects in Casimir-force actuation window may result in non-functional switch designs.
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Panella, Orlando, Allan Widom, and Y. N. Srivastava. "Casimir effects for charged particles." Physical Review B 42, no. 16 (December 1, 1990): 9790–93. http://dx.doi.org/10.1103/physrevb.42.9790.

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Kurokawa, Nobushige, and Masato Wakayama. "Casimir effects on Riemann surfaces." Indagationes Mathematicae 13, no. 1 (March 2002): 63–75. http://dx.doi.org/10.1016/s0019-3577(02)90006-6.

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Panella, Orlando, and Allan Widom. "Casimir effects in gravitational interactions." Physical Review D 49, no. 2 (January 15, 1994): 917–22. http://dx.doi.org/10.1103/physrevd.49.917.

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Sircar, Avirup, Puneet Kumar Patra, and Romesh C. Batra. "Casimir force and its effects on pull-in instability modelled using molecular dynamics simulations." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2242 (October 2020): 20200311. http://dx.doi.org/10.1098/rspa.2020.0311.

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We present a new methodology to incorporate the Casimir forces within the molecular dynamics (MD) framework. At atomistic scales, the potential energy between two particles arising due to the Casimir effect can be represented as U ( r ij ) = C / r 7 . Incorporating the Casimir effect in MD simulations requires the knowledge of C , a problem hitherto unsolved. We overcome this by equating the total potential energy contributions due to each atomistic pair with the potential energy of continuum scale interacting bodies having similar geometries. After having identified the functional form of C , standard MD simulations are augmented with the potential energy contribution due to pairwise Casimir interactions. The developed framework is used to study effects of the Casimir force on the pull-in instability of rectangular and hollow cylindrical shaped deformable electrodes separated by a small distance from a fixed substrate electrode. Our MD results for pull-instability qualitatively agree with the previously reported analytical results but are quantitatively different. The effect of using longer-ranged Casimir forces in a constant temperature environment on the pull-in behaviour has also been studied.
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ASOREY, MANUEL, and JOSÉ M. MUÑOZ-CASTAÑEDA. "BOUNDARY EFFECTS IN QUANTUM PHYSICS." International Journal of Geometric Methods in Modern Physics 09, no. 02 (March 2012): 1260017. http://dx.doi.org/10.1142/s0219887812600171.

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We analyze the role of boundaries in the infrared behavior of quantum field theories. By means of a novel method we calculate the vacuum energy for a massless scalar field confined between two homogeneous parallel plates with the most general type of boundary properties. This allows the discrimination between boundary conditions which generate attractive or repulsive Casimir forces between the plates. In the interface between both regimes we find a very interesting family of boundary conditions which do not induce any type of Casimir force. We analyze the effect of the renormalization group flow on these boundary conditions. Even if the Casimirless conformally invariant conditions are physically unstable under renormalization group flow they emerge as a new set of conformally invariant boundary conditions which are anomaly free.
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Phat, Tran Huu, and Nguyen Van Thu. "Finite-size effects of linear sigma model in compactified space–time." International Journal of Modern Physics A 29, no. 15 (May 30, 2014): 1450078. http://dx.doi.org/10.1142/s0217751x1450078x.

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The finite-sized effect caused by compactified space–time is scrutinized by means of the linear sigma model with constituent quarks at finite temperature T and chemical potential μ, where the compactified spatial dimension with length L is taken along the Oz direction. We find several finite-size effects associated with compactified length L: (a) There are two types of Casimir energy corresponding to two types of quarks, untwisted and twisted quarks. (b) For untwisted quarks, a first-order phase transition emerges at intermediate values of L when the Casimir effect is not taken into account and is enhanced by Casimir energy at small L. (c) For twisted quarks, the phase transition is cross-over everywhere when μ≤200 MeV . When μ> 200 MeV there occurs a first-order phase transition at large L and becomes cross-over at smaller L.
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Dissertations / Theses on the topic "Casimir Effects"

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Noto, Antonio. "Non-equilibrium Casimir interactions : from dynamical to thermal effects." Thesis, Montpellier, 2016. http://www.theses.fr/2016MONTT279/document.

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Dans cette thèse, après une introduction où nous présentons brièvement la physique des forces de Casimir, nous montrons nos résultats obtenus pendant le doctorat. D'abord, nous montrons notre travail sur les interactions de van der Waals / Casimir-Polder lorsque le système est dans une configuration hors équilibre à cause du mouvement uniformément accéléré des atomes. Nous étudions le système de deux atomes uniformément accélérés dans le vide quantique quand ils sont dans leur état fondamental ou dans un état corrélé (un atome excité et un atome dans son état fondamental). Nous analysons ce système avec un modèle heuristique semi-classique et une méthode plus rigoureuse qui nous avons étendu à partir d'une procédure générale développée dans la littérature. Nous trouvons un changement de la dépendance de l'interaction de la distance en raison de l'accélération. Nous montrons que les forces de Casimir-Polder entre deux atomes uniformément accélérés en mouvement relativiste, qui interagissent avec le champ scalaire, présentent une transition à partir d'un comportement thermique à courtes distances, comme prédit par l'effet Unruh, à un comportement non thermique à longues distances, associé à la rupture de la description inertielle et locale du système. En plus, lorsque le cas d'atomes qui interagissent avec le champ électromagnétique quantique est considéré, on constate que de nouvelles caractéristiques apparaissent dans l'interaction.Ensuite, nous présentons notre travail sur un nouveau couplage opto-mécanique d'un miroir oscillant de façon efficace avec un gaz d'atomes de Rydberg, médié par la force atome-miroir dynamique de Casimir-Polder. Nous constatons que ce couplage peut produire une excitation de résonance atomique de champ proche, qui n'est pas liée à l'excitation des atomes par les quelques photons réels attendus de l'effet Casimir dynamique. Dans des conditions expérimentales accessibles, cette probabilité d'excitation est importante (environ 20 %) et rend possible l'observation de ce nouvel effet Casimir-Polder dynamique. Donc nous proposons une configuration expérimentale réaliste pour réaliser ce système fait d'un gaz d'atomes froids piégés mis en face d'un substrat semi-conducteur, dont les propriétés diélectriques sont modulées dans le temps.Enfin, nous nous concentrons sur nos résultats obtenus pour le calcul de la pression Casimir-Lifshitz entre deux réseaux lamellaires diélectriques différents. Ce système est supposé dans une configuration hors équilibre thermique. En fait, les deux réseaux présentent deux températures différentes et ils sont immergés dans un bain thermique ayant une troisième température. Le calcul de la pression est basé sur une méthode qui exploite les opérateurs de diffusion des réseaux, déduits en utilisant la méthode modale de Fourier. Nous présentons nos résultats numériques caractérisant en détail le comportement de la pression, en faisant varier les trois températures et en modifiant les paramètres géométriques des réseaux. Cette variation des paramètres du système permet de régler la force de répulsive à attractive ou de réduire fortement la pression pour des intervalles de températures. En outre, on montre que la combinaison des effets de non-équilibre et géométriques rend ce système particulièrement intéressant pour l'observation de la force de Casimir répulsive
In this thesis, after an introduction where we briefly present the general context of Casimir physics, we present the results obtained during the PhD. At first, we show our work about the van der Waals/Casimir-Polder interactions between two atoms in an out-of-equilibrium condition due to their uniformly accelerated motion. We study the system of two uniformly accelerated atoms in vacuum space, when they are in their ground-state and when they are in a correlated state (one excited and one ground-state atom). We analyze this system both with an heuristic semiclassical model and with a more rigorous method, based on a separation of radiation reaction and vacuum fluctuations contributions, that we extend starting from a general procedure known in literature. We find a change of the distance-dependence of the interaction due to the acceleration. We show that Casimir-Polder forces between two relativistic uniformly accelerated atoms, interacting with the scalar field, exhibit a transition from the short-distance thermal-like behavior predicted by the Unruh effect to a long-distance nonthermal behavior, associated with the breakdown of a local inertial description of the system. In addition, we obtain new features of the resonance interaction in the case of atoms interacting with the quantum electromagnetic field.Next, we present our work about a new optomechanical coupling of an effectively oscillating mirror with a Rydberg atoms gas, mediated by the dynamical atom-mirror Casimir-Polder force. We find that this coupling may produce a near-field resonant atomic excitation not related to the excitation of atoms by the few real photons expected by dynamical Casimir effect. In accessible experimental conditions, this excitation probability is significant (about 20%) making the observation of this new dynamical Casimir-Polder effect possible. For this reason, we propose a realistic experimental configuration to realize this system made of a cold atom gas trapped in front of a semiconductor substrate, whose dielectric properties are periodically modulated in time.Finally, we focus on our results obtained for the Casimir-Lifshitz pressure between two different dielectric lamellar gratings. This system is assumed to be in an out-of-thermal-equilibrium configuration, i.e. the two gratings have two different temperatures and they are immersed in a thermal bath having a third temperature. The computation of the pressure is based on a method exploiting the scattering operators of the bodies, deduced using the Fourier modal method. In our numerical results we characterize in detail the behavior of the pressure, both by varying the three temperatures and by changing the geometrical parameters of the gratings. In this way we show that it is possible to tune the force from attractive to repulsive or to strongly reduce the pressure for large ranges of temperatures. Moreover, we stress that the interplay between nonequilibrium effects and geometrical periodicity make this system particularly interesting for the observation of the repulsive Casimir force
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De, Aquino Carvalho Joao Carlos. "Interaction Casimir-Polder entre atome de césium et surface de saphir thermiquement émissive." Thesis, Sorbonne Paris Cité, 2018. http://www.theses.fr/2018USPCD054.

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Nous décrivons dans cette thèse des mesures spectroscopiques de réflexion sélective qui mettent en évidence les effets thermiques de l'interaction Casimir-Polder entre atome et surface. En régime de champ proche, cette interaction est gouvernée par un potentiel qui décroit avec le cube de la distance entre l'atome et la surface (régime van der Waals -vdW-de type dipôle-dipôle). Nous nous intéressons notamment aux niveaux excités du césium Cs (7P₁/₂) et Cs (7P₃/₂), qui possèdent un couplage dipolaire avec Cs (6D) à, respectivement, 12,15 µm et ~15 µm, interagissant avec une surface de saphir thermiquement émissive dont les modes émetteurs sont situés autour de 12,2 µm. Ainsi, ces niveaux respectifs niveaux sont sensibles à une interaction vdW résonante, ou non-résonante, que nous comparons expérimentalement Le résultat le plus important de cette thèse est l'observation expérimentale de la différence de comportement du potentiel vdW en fonction de la température de fenêtre (150-800 °C), pour les niveaux Cs(7P₁/₂) et Cs (7P₃/₂). Pour le niveau Cs (7P₁/₂) le potentiel vdW augment en fonction de la température, tandis que pour le niveau une légère décroissance est observée. Des expériences de spectroscopie de réflexion sélective sondant le niveau Cs (6P₁/₂), interagissant avec une surface de saphir chaude, ont aussi été réalisées, qui confirment pour ce niveau l'absence d'effet de température. Les prédictions théoriques sont raffinées par l'évaluation de la constante diélectrique du saphir en fonction de la température, à partir de données nouvelles d'émissivité fournies par le groupe CEMHTI à Orléans. Enfin, utilisant la fluorescence rétrodiffuse comme diagnostic pour la cellule chaude de Cs lorsque l'excitation était faite sur les niveaux Cs (6P ₁/₂) et Cs (7P ₁/₂), nous avons interprété de façon plus consistante que les propositions précédentes de la littérature, des structures sub-Doppler observées dans l'excitation de la fluorescence au voisinage de la fenêtre
In this thesis we describe measurements of selective reflection spectroscopy that highlight the thermal effects of the Casimir-Polder interaction between atom and surface. In the near field regime, this interaction is governed by a potential decreasing with the cube of the distance between the atom and the surface (van der Waals -vdW- regime of dipoledipole type) We are particularly interested in the excited levels of cesium, we are particularly interested in the excited levels of cesium Cs (7P₁/₂) and Cs (7P₃/₂), which have a dipole coupling to respectively Cs (6D) at 12,15 µm and ~15 µm interacting with a thermally emissive sapphire surface. Sapphire emitting modes are around 12,2 µm, and, thus, these Cs levels are sensitive to a resonant, or non-resonant, vdW interaction. We compare experimentally these levels. The most important result of this thesis is the experimental observation of the difference in behavior of the vdW potential as a function of the window temperature (150 - 800 °C), for the Cs (7P₁/₂) and Cs (7P₃/₂) levels. For the Cs (7P₁/₂) level the vdW potential increases as a function of temperature, while for the Cs (7P₃/₂) level a slight decrease is observed. Selective reflection spectroscopy experiments, probing the Cs (6P₁/₂) level interacting with a hot sapphire surface, were also carried out, which confirm for this level the absence of a temperature effect. The theoretical predictions are refined by the evaluation of the dielectric constant of sapphire as a function of temperature, from new emissivity data provided by the CEMHTI's group, in Orléans. Finally, we use backscattered fluorescence as a diagnosis for the Cs hot cell when exciting Cs (6P ₁/₂) and Cs (7P ₁/₂) levels. We have interpreted, in a manner more consistent than previous literature, sub-Doppler structures observed in the excitation of the fluorescence near the window
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Messina, Riccardo. "Casimir-Polder force between atom and surface : geometrical and dynamical effects." Paris 6, 2010. http://www.theses.fr/2010PA066076.

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Dans cette thèse, l'on discute des aspects de l'interaction de Casimir-Polder entre atome et surface. D'abord, on analyse la force latérale sur un atome en présence d'une corrugation sur la surface, en utilisant une méthode fondée sur la matrice de scattering, développée au premier ordre par rapport à l'amplitude de corrugation. On calcule numériquement le potentiel d'interaction au premier ordre pour une distance atome-surface et un profil de corrugation arbitraires: on discute l'effet de la géometrie du système et de la conductivité finie de la surface. Nous étudions les déviations du résultat exact de la Proximity Force Approximation et de la Pairwise Summation. La deuxième partie de la thèse est consacrée aux propriétés dynamiques. On analyse l'émission de radiation par un atome en mouvement au-dessus d'une surface corruguée. On déduit des propriétés générales de l'émission de photons par un objet en mouvement au dessus d'une surface corruguée, et on discute ensuite le cas d'un atome, en commentant l'observabilité de l'effet. Nous étudions ensuite l'évolution temporelle de la densité d'énergie électromagnétique pour un atome devant un plan parfaitement conducteur pendant l'évolution du système supposant qu’il soit décrit au début par un état non stationnaire. La méthode utilisée est la solution itérative des équations d'Heisenberg des opérateurs de champ. Nous discutons la causalité relativiste dans la propagation des champs, et analysons aussi l'interaction atome-atome devant une surface. Enfin, nous montrons des résultats concernant l'évolution de la force atome-miroir à partir d'un état partiellement habillé, en discutant aussi sa réalisabilité expérimentale.
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Gersberg, Paul. "Confinement and driving effects on continuous and discrete model interfaces." Thesis, Bordeaux, 2020. http://www.theses.fr/2020BORD0084.

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Cette thèse examine les propriétés de l’interface entre deux phases dans un système de phases séparées. Nous regardons comment les effets de taille finies modifient les propriétés statistiques de ces interfaces,en particulier comment la dépendance de l’énergie libre par rapport à la taille du système donne lieu à des interactions de Casimir critique à longue portée proche du point critique. Souvent, les interfaces sont décrites par des modèles simplifiés ou coarse-grained dont les seuls degrés de libertés ont les hauteurs de l’interface. Nous rappelons comment les propriétés statiques et dynamiques de ces interfaces sont retrouvées à partir de modèles microscopiques de spins et de la théorie statistique des champs. Nous étudions ensuite les effets de taille finie pour les interfaces continues comme le modèle Edwards-Wilkinson ou discrètes comme le modèle Solid-On-Solid,et discutons leur pertinence dans le cadre de l’effet Casimir critique. Dans la seconde partie de la thèse, nous examinons des modèles d’interfaces sous écoulement possédant des états stationnaires hors-équilibre. Nous développons ces équations dans le cadre du modèle C d’une interface,ayant un état stationnaire hors-équilibre lorsque soumis à un écoulement uniforme. L’état stationnaire hors-équilibre résultant exhibe des propriétés retrouvées dans les expériences sur des colloïdes sous cisaillement ,notamment la suppression des fluctuations de la hauteur de l’interface et une augmentation de la longueur de corrélation des fluctuations. Finalement,nous proposons un nouveau modèle pour des interfaces uni-dimensionnelles qui est une modification du modèle Solid-on-Solid contenant un terme supplémentaire d’entropie, dont la correspondance à des systèmes physiques reste à être trouvée
This thesis examines the properties of the interface between two phases in phase separated systems. We are interested in how finite size effects modify the statistical properties of these interfaces, in particular how the dependence of the free energy on the system size gives rise to long range critical Casimir forces close to thecritical point. Often the interfaces in phase separated systems are described by simplified or coarsegrained models whose only degrees of freedom are the interface height. We review how the statics and dynamics of these interface models can be derived from microscopic spin models and statistical field theories. We then examine finite size effects for continuous interface models such as the Edwards Wilkinson model and discrete models such as the Solid-On-Solid model and discuss their relevance to the critical Casimir effect. In the second part of the thesis we examine models of driven interfaces which have nonequilibrium steady states. We develop a model C type model of an interface which shows a nonequlibrium steady state even with constant driving. The resulting nonequlibrium steady state shows properties seen in experiments on sheared colloidal systems, notably the suppression of height fluctuations but an increase in the fluctuations’correlation length. Finally we propose a new model for one dimensional interfaces which is a modification of the solid on-solid model and containing an extra entropic term ,whose correspondance with physical systems is yet to be found
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Priyadarshini, Thiyam. "A study of finite-size and non-perturbative effects on the van der Waals and the Casimir-Polder forces." Licentiate thesis, KTH, Skolan för industriell teknik och management (ITM), 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-186225.

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This licentiate thesis addresses two important aspects of the van der Waals and the Casimir-Polder ground-state and excited-state (resonance) interactions between two atoms or molecules. The first is the finite-size effect and the second is the non-perturbative effect. Going beyond the usual assumption of atoms and molecules as point particles and adopting a description of finite size, the divergence inherent in such interaction energies in the limit of zero separation distance between the two interacting atoms or molecules is removed. The attainment of finite interaction energy at such close separation distance facilitates the estimation of van der Waals force contribution to the binding energy of the molecules, and towards surfaces. This is particularly important for noble atoms. We investigate in detail for a pair of helium (He) atoms and krypton (Kr) atoms, and for a pair of methane (CH4) molecules considering its environmental importance. The application of finite size further leads to finite self energies of the atoms. The expression of the interaction energy, as is discussed in detail in this thesis, typically contains a logarithmic factor of the form ln(1-x). Formerly, in evaluating the interaction energies, this factor is customarily series-expanded and truncated in the leading order with certain assumptions. This thesis explores the effect of using the full expression, which we refer to as the non-perturbative (or, the non-expanded) theory, analytically wherever possible as well as numerically. The combined application of the finite-size theory and the non-perturbative theory results in as much as 100% correction in the self energy of atoms in vacuum. This may give rise to significant physical consequences, for example, in the permeabilities of atoms across dielectric membranes. The non-perturbative theory, in addition, exhibits interesting behaviour in the retarded resonance interaction.

QC 20160509

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Pujolàs, Boix Oriol. "Quantum effects in brane world scenarios: moduli stabilization and the hierarchy problem." Doctoral thesis, Universitat Autònoma de Barcelona, 2003. http://hdl.handle.net/10803/3354.

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El problema de la jerarquía se puede resolver en ciertos modelos de branas debido a
que, en estos modelos, la separación entre la escala electrodébil y la de Planck
depende del tamaño de las dimensiones extra. Éste viene caracterizado por un
modo escalar de la métrica conocido como el radión, de forma que una solución
completa al problema de la jerarquía requiere algun mecanismo de estabilización
que fije su valor y explique por qué no se observan las interacciones escalares
transmitidas por el radión.
En esta tesis se estudia la posibilidad de que la energía de Casimir estabilice
el radión (proporcionandole una masa suficientement grande) y generen la
jerarquía de forma natural. Se argumenta que en modelos donde la geometría no
es factorizable, los efectos cuánticos proporcionan un mecanismo de
estabilización capaz de generar y estabilizar la jerarquía. En conctreto, se
discuten los efectos cuánticos en tres familias de modelos.
El primer ejemplo consiste en un modelo tensor--escalar en cinco dimensiones en
que el factor de 'warp' crece como una potencia de la distancia. La presencia de
una simetría de 'scaling' anómala permite estabilizar las posiciones de las branas
y generar la jerarquía de forma natural incluso para potencias pequeñas. No
obstante, las masas de los módulos es suficientemente grande cuando la potencia
del factor de warp es de orden 10 o mayor.
La segunda clase de modelos consiste en un espacio de más de 5 dimensiones donde el
espacio interno y las direcciones no compactas tienen un factor de warp
exponencial. En este modelo, la jerarquía se genera mediante una combinación de
los efectos de redshift y de volumen grande. Se encuentra que los efectos
cuánticos estabilizan las posiciones de las dos branas y generan la gerarquía de
forma natural si el espacio interno es plano.
En el tercer tipo de modelos, el espacio interno no tiene factor de warp y la
jerarqía se genera mediante el efecto de redshift. Al igual que en el modelo de
Randall Sundrum, la fuerza de Casimir debida a un campo de gauge en el bulk puede
estabilizar la jerarquía de forma natural.
Se concluye que en los modelos de branas con geometría no factorizable, los efectos
cuánticos son capaces de estabilizar la jerarquía naturalmente de forma relativamente
genérica.
Certain brane world scenarios can solve the hierarhy problem exploiting the fact that,
in these models, the separation between the electroweak and the Planck scales
--'the hierarchy'-- depends on the size of the extra dimensions. This size is
parmetrized by a scalar mode of the higher dimensional metric called 'the radion'.
Hence, a complete solution to the hierarchy problem requires a stabilization mechanism
that naturally fixes the radion at an appropriate value and explains why the interactions
mediated by such a scalar are not observed.
In this thesis, we consider the possibility that the Casinir energy is responsible for
stabilizing the radion and generating a large hierarchy in a natural way. We argue that,
in scenarios where the geometry is not factorizable, the quantum effects indeed can provide
a stabilization mechanism that generates naturally a large hierarchy. Specifically, we
discuss three classes of models.
The first example consists in a five dimensional scalar--tensor model bounded by two
parallel branes, where the warp factor grows like a power of the distance. The presence
of an anomalous scaling symmetry in the model allows to stabilize the moduli, which
correspond to the brane locations. A large hierarchy can be obtained even for low values
of the power. However, the generated masses for the moduli are large enough if the power
of the warp factor is of order 10 or bigger.
The second class of models consists in a space of more than five dimensions where the
additional internal space and the noncompact directions share an exponential warp factor.
In these models, the hierarchy is generated by a combination of the redshift effect and
the large volume effect. We find that the Casimir energy stabilizes the brane positions and
generate a large hierarchy if the internal space is flat.
In the third example, the internal space does not have a warp factor and the hierarhy is
generated by the redshift effect. As is the Randall Sundrum model, the Casimir force due
to a bulk gauge field can generate and stabilize a large hierarchy in a natural fashion.
We conclude that relatively generically, the quantum effects can naturally stabilize a
large hierarchy in models with a non factorizable geometry.
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Lang, Andrew. "The casimir effect /." free to MU campus, to others for purchase, 1998. http://wwwlib.umi.com/cr/mo/fullcit?p9904856.

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Holmes, Christopher David. "Acoustic Casimir effect." Monterey, California. Naval Postgraduate School, 1997. http://hdl.handle.net/10945/7844.

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In 1948, Hendrick Brugt Gerhard Casimir predicted that two closely spaced uncharged conducting plates in vacuum would be mutually attracted. This attractive force is an indirect manifestation of the quantum electromagnetic zero point field (ZPF). When the indirect manifestations of the ZPF are interpreted as due to radiation pressure, acoustic noise can provide an excellent analog to investigate the Casimir effect as well as other effects due to the ZPF. Force measurements between two parallel plates are performed in an acoustic chamber with a broadband noise spectrum within a 5-15 kHz band and an intensity of 133 dB (re 20 %Pa). When the results are compared with the appropriate theory, very good agreement is obtained. Applications of the acoustic Casimir effect to noise transduction can provide new means to measure background noise. Because attractive or repulsive forces can be obtained by adjusting the noise spectrum or the plate geometry, a non-resonant method of acoustic levitation is also suggested
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Jacobs, David M. "Casimir Localization." Case Western Reserve University School of Graduate Studies / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=case1396608069.

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Haakh, Harald Richard. "Cavity QED with superconductors and its application to the Casimir effect." Master's thesis, Universität Potsdam, 2009. http://opus.kobv.de/ubp/volltexte/2009/3256/.

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Diese Diplomarbeit untersucht den Casimir-Effekt zwischen normal- und supraleitenden Platten über einen weiten Temperaturbereich, sowie die Casimir-Polder-Wechselwirkung zwischen einem Atom und einer solchen Oberfläche. Hierzu wurden vorwiegend numerische und asymptotische Rechnungen durchgeführt. Die optischen Eigenschaften der Oberflächen werden dann aus dielektrischen Funktionen oder optischen Leitfähigkeiten erhalten. Wichtige Modellen werden vorgestellt und insbesondere im Hinblick auf ihre analytischen und kausalen Eigenschaften untersucht. Es wird vorgestellt, wie sich die Casimir-Energie zwischen zwei normalleitenden Platten berechnen lässt. Frühere Arbeiten über den in allen metallischen Kavitäten vorhandenen Beitrag von Oberflächenplasmonen zur Casimir-Wechselwirkung wurden zum ersten mal auf endliche Temperaturen erweitert. Für Supraleiter wird eine analytische Fortsetzung der BCS-Leitfähigkeiten zu rein imaginären Frequenzen, sowohl innerhalb wie außerhalb des schmutzigen Grenzfalles verschwindender mittlerer freier Weglänge vorgestellt. Es wird gezeigt, dass die aus dieser neuen Beschreibung erhaltene freie Casimir-Energie in bestimmten Bereichen der Materialparameter hervorragend mit der im Rahmen des Zwei-Fluid-Modells für den Supraleiter berechneten übereinstimmt. Die Casimir-Entropie einer supraleitenden Kavität erfüllt den Nernstschen Wärmesatz und weist einen charakteristischen Sprung beim Erreichen des supraleitenden Phasenübergangs auf. Diese Effekte treten ebenfalls in der magnetischen Casimir-Polder-Wechselwirkung eines Atoms mit einer supraleitenden Oberfläche auf. Es wird ferner gezeigt, dass die magnetische Dipol-Wechselwirkung eines Atomes mit einem Metall sehr stark von den dissipativen Eigenschaften und insbesondere von den Oberflächenströmen abhängt. Dies führt zu einer starken Unterdrückung der magnetischen Casimir-Polder-Energie bei endlichen Temperaturen und Abständen oberhalb der thermischen Wellenlänge. Die Casimir-Polder-Entropie verletzt in einigen Modellen den Nernstschen Wärmesatz.Ähnliche Effekte werden für den Casimir-Effekt zwischen Platten kontrovers diskutiert. In den entsprechenden elektrischen Dipol-Wechselwirkungen tritt keiner dieser Effekte auf. Die Ergebnisse dieser Arbeit legen nahe, das bekannte Plasma-Modells als Grenzfall eines Supraleiters bei niedrigen Temperaturen (bekannt als London-Theorie) zu betrachten, statt als Beschreibung eines normales Metalles. Supraleiter bieten die Möglichkeit, die Dissipation der Oberflächenströme in hohem Maße zu steuern. Dies könnte einen experimentellen Zugang zu den optischen Eigenschaften von Metallen bei niedrigen Frequenzen erlauben, die eng mit dem thermischen Casimir-Effekt verknüpft sind. Anders als in entsprechenden Mikrowellen-Experimenten sind hierbei die Energien und Impulse unabhängige Größen. Die Messung der Oberflächenwechselwirkung zwischen Atomen und Supraleitern ist mit den heute verfügbaren Atomfallen auf Mikrochips möglich und der magnetische Anteil der Wechselwirkung sollte spektroskopischen Techniken zugänglich sein
This thesis investigates the Casimir effect between plates made of normal and superconducting metals over a broad range of temperatures, as well as the Casimir-Polder interaction of an atom to such a surface. Numerical and asymptotical calculations have been the main tools in order to do so. The optical properties of the surfaces are described by dielectric functions or optical conductivities, which are reviewed for common models and have been analyzed with special weight on distributional properties and causality. The calculation of the Casimir energy between two normally conducting plates (cavity) is reviewed and previous work on the contribution to the Casimir energy due to the surface plasmons, present in all metallic cavities, has been generalized to finite temperatures for the first time. In the field of superconductivity, a new analytical continuation of the BCS conductivity to to purely imaginary frequencies has been obtained both inside and outside the extremely dirty limit of vanishing mean free path. The Casimir free energy calculated from this description was shown to coincide well with the values obtained from the two fluid model of superconductivity in certain regimes of the material parameters. The Casimir entropy in a superconducting cavity fulfills the third law of thermodynamics and features a characteristic discontinuity at the phase transition temperature. These effects were equally encountered in the Casimir-Polder interaction of an atom with a superconducting wall. The magnetic dipole coupling of an atom to a metal was shown to be highly sensible to dissipation and especially to the surface currents. This leads to a strong quenching of the magnetic Casimir-Polder energy at finite temperature. Violations of the third law of thermodynamics are encountered in special models, similar to phenomena in the Casimir-effect between two plates, that are debated controversely. None of these effects occurs in the analog electric dipole interaction. The results of this work suggest to reestablish the well-known plasma model as the low temperature limit of a superconductor as in London theory rather than use it for the description of normal metals. Superconductors offer the opportunity to control the dissipation of surface currents to a great extent. This could be used to access experimentally the low frequency optical response of metals, which is strongly connected to the thermal Casimir-effect. Here, differently from corresponding microwave experiments, energy and momentum are independent quantities. A measurement of the total Casimir-Polder interaction of atoms with superconductors seems to be in reach in today’s microchip-based atom-traps and the contribution due to magnetic coupling might be accessed by spectroscopic techniques
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Books on the topic "Casimir Effects"

1

Holmes, Christopher David. Acoustic Casimir effect. Monterey, Calif: Naval Postgraduate School, 1997.

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Bordag, Michael. Advances in the Casimir effect. Oxford: Oxford University Press, 2009.

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Advances in the Casimir effect. Oxford: Oxford University Press, 2009.

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The Casimir effect: Physical manifestations of zero-point energy. Singapore: World Scientific, 2001.

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The Casimir effect in critical systems. Singapore: World Scientific, 1994.

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Mostepanenko, Vladimir Mikhaĭlovich. The Casimir effect and its applications. Oxford: Clarendon Press, 1997.

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Workshop on Quantum Field Theory Under the Influence of External Conditions (4th 1998 University of Leipzig). The Casimir effect 50 years later: Proceedings of the Fourth Workshop on Quantum Field Theory Under the Influence of External Conditions : 14-18 September 1998, Leipzig, Germany. Edited by Bordag Michael 1952-. Singapore: World Scientific, 1999.

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Casimir force, Casimir operators, and the Riemann hypothesis: Mathematics for innovation in industry and science. Berlin: De Gruyter, 2010.

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1945-, Berman Paul R., ed. Cavity quantum electrodynamics. Boston: Academic Press, 1994.

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Conference on Quantum Field Theory Under the Influence of External Conditions (9th 2009 University of Oklahoma). Proceedings of the Ninth Conference on Quantum Field Theory Under the Influence of External Conditions (QFEXT09): Devoted to the Centenary of H.B.G. Casimir, University of Oklahoma, USA, 21-25 September 2009. Edited by Casimir, H. B. G. (Hendrik Brugt Gerhard), 1909-2000, Milton K. A, and Bordag Michael 1952-. New Jersey: World Scientific, 2010.

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Book chapters on the topic "Casimir Effects"

1

Rahi, Sahand Jamal, Thorsten Emig, and Robert L. Jaffe. "Geometry and Material Effects in Casimir Physics-Scattering Theory." In Casimir Physics, 129–74. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-20288-9_5.

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Iannuzzi, D., and R. Sedmik. "13.6 Casimir force experiments: surface effects." In Physics of Solid Surfaces, 743–45. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-47736-6_180.

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Khusnutdinov, Nail, Rashid Kashapov, and Lilia M. Woods. "The zeta function approach applied to Casimir effects in a stack of conductive planes." In Physical and Mathematical Aspects of Symmetries, 203–8. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-69164-0_30.

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Milonni, Peter, and Umar Mohideen. "Casimir Effect." In Compendium of Quantum Physics, 87–88. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-70626-7_26.

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Connes, Alain, Bernard de Wit, Antoine Van Proeyen, Sergey Gukov, Rafael Hernandez, Pablo Mora, Anatoli Klimyk, Anatoli Klimyk, and Iver Brevik. "Casimir Effect." In Concise Encyclopedia of Supersymmetry, 83. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/1-4020-4522-0_94.

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Dalvit, Diego A. R., Paulo A. Maia Neto, and Francisco Diego Mazzitelli. "Fluctuations, Dissipation and the Dynamical Casimir Effect." In Casimir Physics, 419–57. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-20288-9_13.

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Lambrecht, Astrid, Antoine Canaguier-Durand, Romain Guérout, and Serge Reynaud. "Casimir Effect in the Scattering Approach: Correlations Between Material Properties, Temperature and Geometry." In Casimir Physics, 97–127. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-20288-9_4.

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Balian, Roger. "Casimir Effect and Geometry." In Poincaré Seminar 2002, 71–92. Basel: Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-8075-6_4.

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Elizalde, Emilio. "Physical Application: The Casimir Effect." In Ten Physical Applications of Spectral Zeta Functions, 95–118. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-29405-1_5.

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Law, C. K. "Resonance in Non-Stationary Casimir Effect." In Coherence and Quantum Optics VII, 579–80. Boston, MA: Springer US, 1996. http://dx.doi.org/10.1007/978-1-4757-9742-8_161.

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Conference papers on the topic "Casimir Effects"

1

Petrov, Mikhail P. "The Casimir Force and Light Pressure." In Photorefractive Effects, Photosensitivity, Fiber Gratings, Photonic Materials and More. Washington, D.C.: OSA, 2007. http://dx.doi.org/10.1364/pr.2007.tud4.

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SCARDICCHIO, A. "THE OPTICAL APPROACH TO CASIMIR EFFECTS." In Proceedings of the Conference. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702326_0049.

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Mochán, W. Luis. "Non-Local Effects in the Casimir Force." In STATISTICAL PHYSICS AND BEYOND: 2nd Mexican Meeting on Mathematical and Experimental Physics. AIP, 2005. http://dx.doi.org/10.1063/1.1900488.

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HAAKH, H., F. INTRAVAIA, and C. HENKEL. "THERMAL EFFECTS IN THE MAGNETIC CASIMIR-POLDER INTERACTION." In Proceedings of the Ninth Conference. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814289931_0021.

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Li, Tongcang. "Ultrasensitive optical-tweezer torque detection and Casimir effects." In Optical and Quantum Sensing and Precision Metrology, edited by Selim M. Shahriar and Jacob Scheuer. SPIE, 2021. http://dx.doi.org/10.1117/12.2586802.

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JAFFE, ROBERT L. "CASIMIR EFFECTS: FROM GROUNDED PLATES TO THE STANDARD MODEL." In Proceedings of the Conference. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812776310_0025.

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Pinto, Fabrizio. "If detected, would hypothetical gravitational Casimir effects prove gravity quantization?" In Proceedings of the MG14 Meeting on General Relativity. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813226609_0528.

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Caruntu, Dumitru I., and Reynaldo Oyervides. "Casimir and Van Der Waals Effects on Parametric Resonance of Bio-NEMS Circular Plate Resonators." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46578.

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This paper deals with Casimir and van der Waals effects on the frequency response of parametric resonance of electrostatically actuated NEMS circular plates for bio-sensing applications. The bio-NEMS resonator consists of a clamped circular elastic plate over a fixed electrode plate. A soft AC voltage of frequency near natural frequency between the plates gives an electrostatic force that leads the elastic plate into vibration which leads to parametric resonance that can be used afterwards for biosensing purposes. Frequency response and the effects of Casimir, and van der Waals forces on the response are reported.
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Caruntu, Dumitru I., and Christian Reyes. "Casimir Effect on Simultaneous Resonances of Electrostatically Actuated MEMS Resonators." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46802.

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This paper deals with the influence of Casimir effect on MEMS resonator sensors under double electrostatic actuation and simultaneous resonances. The MEMS cantilever is between two parallel plates (electrodes) under soft AC double actuation. The AC voltage with the bottom electrode is of frequency near half natural frequency of the resonator and the AC voltage with the top electrode is of frequency near natural frequency of the resonator. The method of multiple scales is used to model the behavior of the system. In the model the damping, fringing, voltage, and Casimir forces are taken into consideration and the effects of these parameters on the frequency response are reported. Designing MEMS resonators for applications in fields such as automotive and biomedical can benefit from this work.
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Biswas, Shyamal. "Casimir effects for classical and quantum liquids in slab geometry: A brief review." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON CONDENSED MATTER PHYSICS 2014 (ICCMP 2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4915356.

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Reports on the topic "Casimir Effects"

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Chen, P. CASIMIR Effect in a Supersymmetry-Breaking Brane-World as Dark Energy. Office of Scientific and Technical Information (OSTI), September 2004. http://dx.doi.org/10.2172/833100.

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