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Articoli di riviste sul tema "Casimir effect"

Autore: Grafiati

Pubblicato: 4 giugno 2021

Ultima modifica: 25 luglio 2025

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1

Raverdy, Yvan-Claude. "Gravitational Energy and the Casimir Effect." Journal of Electrical Electronics Engineering 3, no. 1 (2024): 01–02. https://doi.org/10.33140/jeee.03.01.05.

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The part of the vacuum energy that we associate with “dark matter” is assimilated to the classical gravitational potential energy, this energy is at the origin of the Casimir effect and can be measured by it. Here we provide additional information to demonstrate this proposition and clarify what “dark matter” could be in our universe.

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2

Zeng Ran, Fang Shi-Chao, Gao Tai-Ji, Li Hao-Zhen, Yang Shu-Na, and Yang Ya-Ping. "Casimir Effect in Photonic Topological Insulator Multilayered System." Acta Physica Sinica 74, no. 10 (2025): 0. https://doi.org/10.7498/aps.74.20250088.

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The Casimir effect has received extensive theoretical and experimental research attention in recent years. It arises from the macroscopic manifestation of quantum vacuum fluctuations, and this Casimir interaction force can be an effective means of driving and controlling components in MEMS and NEMS. Since the photonic topological insulator has brought new possibilities for the design and application of photonic devices, in this work we investigate the Casimir force between the multilayer structure of non-reciprocal photonic topological insulators with broken time-reversal symmetry, and examine

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3

Pile, David. "Giant Casimir effect." Nature Photonics 8, no. 9 (2014): 674–75. http://dx.doi.org/10.1038/nphoton.2014.197.

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4

Fisher, D. J. "Maritime Casimir effect." American Journal of Physics 64, no. 10 (1996): 1228. http://dx.doi.org/10.1119/1.18354.

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5

Plunien, G. "The Casimir effect." Physics Reports 134, no. 2-3 (1986): 87–193. http://dx.doi.org/10.1016/0370-1573(86)90020-7.

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6

Kupiszewska, Dorota. "Repulsive Casimir Effect." Journal of Modern Optics 40, no. 3 (1993): 517–23. http://dx.doi.org/10.1080/09500349314550511.

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7

Frassino, Antonia M., Piero Nicolini, and Orlando Panella. "Unparticle Casimir effect." Physics Letters B 772 (September 2017): 675–80. http://dx.doi.org/10.1016/j.physletb.2017.07.029.

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8

Fabiano, Nicola. "The Casimir effect." Vojnotehnicki glasnik 71, no. 3 (2023): 740–47. http://dx.doi.org/10.5937/vojtehg71-41282.

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Introduction/purpose: The quantization of the electromagnetic field gives rise to quantum fluctuations which in turn produce a force on macroscopic boundaries. This phenomenon is called the Casimir effect. Method: The second quantization of the electromagnetic field is employed. The Zeta function regularization technique has been applied. Results: Because of the electromagnetic field quantization, a force on macroscopic boundaries is observed. Conclusions: Vacuum fluctuations due to quantum effects give macroscopic results.

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9

Giné, Jaume. "Casimir effect and the uncertainty principle." Modern Physics Letters A 33, no. 24 (2018): 1850140. http://dx.doi.org/10.1142/s0217732318501407.

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The Casimir effect is one of the observable consequences of the vacuum fluctuations. The Casimir effect manifests itself as a force between two uncharged conductive plates in a vacuum placed a few nanometers apart. In this work, we try to deduce the Casimir effect directly from the uncertainty principle.

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10

MOSTEPANENKO, V. M., V. B. BEZERRA, G. L. KLIMCHITSKAYA, and C. ROMERO. "NEW CONSTRAINTS ON YUKAWA-TYPE INTERACTIONS FROM THE CASIMIR EFFECT." International Journal of Modern Physics: Conference Series 14 (January 2012): 200–214. http://dx.doi.org/10.1142/s2010194512007337.

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Measurements of the Casimir force are used to obtain stronger constraints on the parameters of hypothetical interactions predicted in different unification schemes beyond the Standard Model. We review new strong constraints on the Yukawa-type interactions derived during the last two years from recent experiments on measuring the lateral Casimir force, Casimir force in configurations with corrugated boundaries and the Casimir-Polder force. Specifically, from measurements of the lateral Casimir force compared with the exact theory the strengthening of constraints up to a factor of 24 millions wa

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11

MOSTEPANENKO, V. M., V. B. BEZERRA, G. L. KLIMCHITSKAYA, and C. ROMERO. "NEW CONSTRAINTS ON YUKAWA-TYPE INTERACTIONS FROM THE CASIMIR EFFECT." International Journal of Modern Physics A 27, no. 15 (2012): 1260015. http://dx.doi.org/10.1142/s0217751x12600159.

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Abstract (sommario):

Measurements of the Casimir force are used to obtain stronger constraints on the parameters of hypothetical interactions predicted in different unification schemes beyond the Standard Model. We review new strong constraints on the Yukawa-type interactions derived during the last two years from recent experiments on measuring the lateral Casimir force, Casimir force in configurations with corrugated boundaries and the Casimir–Polder force. Specifically, from measurements of the lateral Casimir force compared with the exact theory the strengthening of constraints up to a factor of 24 millions wa

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12

ÖZCAN, MUSTAFA. "SCALAR CASIMIR EFFECT BETWEEN TWO CONCENTRIC SPHERES." International Journal of Modern Physics A 27, no. 16 (2012): 1250082. http://dx.doi.org/10.1142/s0217751x12500820.

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The Casimir effect giving rise to an attractive force between the closely spaced two concentric spheres that confine the massless scalar field is calculated by using a direct mode summation with contour integration in the complex plane of eigenfrequencies. We developed a new approach appropriate for the calculation of the Casimir energy for spherical boundary conditions. The Casimir energy for a massless scalar field between the closely spaced two concentric spheres coincides with the Casimir energy of the parallel plates for a massless scalar field in the limit when the dimensionless paramete

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13

Martinez, J. C., X. Chen, and M. B. A. Jalil. "Casimir effect and graphene: Tunability, scalability, Casimir rotor." AIP Advances 8, no. 1 (2018): 015330. http://dx.doi.org/10.1063/1.5007787.

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14

Marachevsky, Valery N. "Chern-Simons boundary layers in the Casimir effect." Modern Physics Letters A 35, no. 03 (2020): 2040015. http://dx.doi.org/10.1142/s0217732320400155.

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Casimir interaction of two SiO2 glass half spaces being substrates for Chern-Simons boundary layers is studied. The separation between two half spaces at which the Casimir energy minimum occurs is strongly increased for dielectric SiO2 glass substrates in comparison with previously considered metal Au and semiconductor Si substrates. Strong reduction in the Casimir force due to presence of Chern-Simons layers is found for SiO2 glass substrate. Influence of modification of the infrared absorption on the Casimir force is studied.

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15

GUILFOYLE, BRENDAN, WILHELM KLINGENBERG, and SIDDHARTHA SEN. "THE CASIMIR EFFECT BETWEEN NON-PARALLEL PLATES BY GEOMETRIC OPTICS." Reviews in Mathematical Physics 17, no. 08 (2005): 859–80. http://dx.doi.org/10.1142/s0129055x05002431.

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The first two authors have developed a technique which uses the complex geometry of the space of oriented affine lines in ℝ3 to describe the reflection of rays off a surface. This can be viewed as a parametric approach to geometric optics which has many possible applications. Recently, Jaffe and Scardicchio have developed a geometric optics approximation to the Casimir effect and the main purpose of this paper is to show that the quantities involved can be easily computed by this complex formalism. To illustrate this, we determine explicitly and in closed form the geometric optics approximatio

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16

Kashapov, R., N. Khusnutdinov, and L. M. Woods. "The Casimir effect for planar layered system." International Journal of Modern Physics A 31, no. 02n03 (2016): 1641028. http://dx.doi.org/10.1142/s0217751x16410281.

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We consider the Casimir energy and force for stack of the N conductive planes at zero temperature. The Casimir-Polder force for an atom near this stack is calculated, too. We derive general expressions and make analysis for the case of ideal metal. In all considered cases the finite conductivity plays important role for the Casimir effect.

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17

LAMBRECHT, ASTRID, and SERGE REYNAUD. "CASIMIR EFFECT: THEORY AND EXPERIMENTS." International Journal of Modern Physics: Conference Series 14 (January 2012): 171–80. http://dx.doi.org/10.1142/s2010194512007313.

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Abstract (sommario):

The Casimir effect is a crucial prediction of Quantum Field Theory which has fascinating connections with open questions in fundamental physics. The ideal formula written by Casimir does not describe real experiments and it has to be generalized by taking into account the effects of imperfect reflection, thermal fluctuations, geometry as well as the corrections coming from surface physics. We discuss these developments in Casimir physics and give the current status in the comparison between theory and experiment after years of improvements in measurements as well as theory.

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18

LAMBRECHT, ASTRID, and SERGE REYNAUD. "CASIMIR EFFECT: THEORY AND EXPERIMENTS." International Journal of Modern Physics A 27, no. 15 (2012): 1260013. http://dx.doi.org/10.1142/s0217751x12600135.

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Abstract (sommario):

The Casimir effect is a crucial prediction of Quantum Field Theory which has fascinating connections with open questions in fundamental physics. The ideal formula written by Casimir does not describe real experiments and it has to be generalized by taking into account the effects of imperfect reflection, thermal fluctuations, geometry as well as the corrections coming from surface physics. We discuss these developments in Casimir physics and give the current status in the comparison between theory and experiment after years of improvements in measurements as well as theory.

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19

Shen, Li, Shi Qiao Gao, and Yan Wei Guan. "The Effect of Casimir Force to the Performance of the Micro-Accelerometer." Key Engineering Materials 562-565 (July 2013): 247–50. http://dx.doi.org/10.4028/www.scientific.net/kem.562-565.247.

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Casimir had measured the Casimir force through experimental methods, and fitted the empirical formula between the plates. On its basis we analyse that when the gap of two separating surfaces achieves submicron in micro devices, the effect of the Casimir force to the micro-devices is great and this Casimir effect can not be ignored. The results show that: Considering the Casimir force or not, the extreme value of acceleration which can be detected by micro-accelerometer is different, and we have got the specific numerical fitting figure by Matlab .

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20

Fucci, Guglielmo. "The Casimir effect for thick pistons." International Journal of Modern Physics A 31, no. 06 (2016): 1650012. http://dx.doi.org/10.1142/s0217751x16500123.

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In this work, we analyze the Casimir energy and force for a thick piston configuration. This study is performed by utilizing the spectral zeta function regularization method. The results we obtain for the Casimir energy and force depend explicitly on the parameters that describe the general self-adjoint boundary conditions imposed. Numerical results for the Casimir force are provided for specific types of boundary conditions and are also compared to the corresponding force on an infinitely thin piston.

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21

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 (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 ,

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22

Zhou Shuai, Liu Kai-Peng, Dai Shi-Wei, and Ge Li-Xin. "Tunable Casimir Equilibria in a Dual-Liquid System." Acta Physica Sinica 74, no. 1 (2025): 0. http://dx.doi.org/10.7498/aps.74.20241126.

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The Casimir effect, a macroscopic manifestation of quantum phenomena, arises from zero-point energy and thermal fluctuations. When two objects are brought into close proximity, the Casimir effect manifests as a repulsive force, while at greater separations, it transitions to an attractive force. There exists a specific distance at which the Casimir force vanishes, referred to as the stable Casimir equilibrium. Stable Casimir equilibria arise from the curve minima of the Casimir energy, which can create spatial trapping. The manipulation of stable Casimir equilibria offers promising application

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23

Bezerra, Valdir Barbosa, Herondy Francisco Santana Mota, Augusto P. C. M. Lima, Geová Alencar, and Celio Rodrigues Muniz. "The Casimir Effect in Finite-Temperature and Gravitational Scenarios." Physics 6, no. 3 (2024): 1046–71. http://dx.doi.org/10.3390/physics6030065.

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In this paper, we review some recent findings related to the Casimir effect. Initially, the thermal corrections to the vacuum Casimir energy density are calculated, for a quantum scalar field, whose modes propagate in the (3+1)-dimensional Euclidean spacetime, subject to a nontrivial compact boundary condition. Next, we analyze the Casimir effect induced by two parallel plates placed in a weak gravitational field background. Finally, we review the three-dimensional wormhole solutions sourced by the Casimir density and pressures associated with the quantum vacuum fluctuations of the Yang-Mills

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24

Chemisana, Daniel, Jaume Giné, and Jaime Madrid. "Quantum fluctuations and the Casimir effect." International Journal of Modern Physics D 29, no. 08 (2020): 2050059. http://dx.doi.org/10.1142/s0218271820500595.

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The most important observable consequence of the vacuum fluctuations is the Casimir effect. Its classical manifestation is a force between two uncharged conductive plates placed a few nanometers apart. In this work, we improve the deduction of the Casimir effect from the uncertainty principle by using an effective radius for the quantum fluctuations. Moreover, the existence of this effective distance is discussed. Finally, a heuristic derivation of the Casimir energy for a spherical shell and a sphere-plate cases is given.

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25

Wang, Jing. "GRAVITATIONAL CASIMIR EFFECT IN INSPIRALLING NEUTRON STAR BINARY." International Journal of Advanced Research 10, no. 02 (2022): 1134–40. http://dx.doi.org/10.21474/ijar01/14322.

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Currently, the discussions and investigations for the vacuum energy are drawing great both theoretical and experimental attention. The vacuum states of variety of fields, subject to special boundary conditions, may contribute to non-trivial macroscopic vacuum energy, i.e., the Casimir effect, which become an interdisciplinary subject and plays an important role in a variety of fields of physics. We adopt Schwingers source theory and study the quantization of gravitation contributions to the Casimir effect, i.e., the gravitational Casimir effect, in inspiraling neutron star binaries with wide s

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26

OIKONOMOU, V. K. "CASIMIR EFFECT AND FUZZY SPHERE AS EXTRA DIMENSIONAL SPACE." Modern Physics Letters A 25, no. 10 (2010): 767–79. http://dx.doi.org/10.1142/s0217732310032810.

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We calculate the scalar Casimir energy for a Minkowski spacetime with Td × SFZ as extra dimensional space, with Td the d-dimensional commutative torus and SFZ the noncommutative two-sphere. We compute the Casimir energy up to one-loop level in order to address the stabilization of the internal space issue. We found that, contrary to the noncommutative two-torus case, the one-loop Casimir energy is singular, when D = even , therefore cannot give reliable results, when D = 4. However, when D = odd and d = even , the Casimir energy is always regular and a stabilization radius for the internal com

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27

ZHAI, XIANG-HUA, YANG YANG, and JIE LAI. "FINITE TEMPERATURE CASIMIR EFFECT FOR PERFECTLY CONDUCTING PARALLEL PLATES IN (D + 1)-DIMENSIONAL SPACETIME." International Journal of Modern Physics: Conference Series 07 (January 2012): 202–8. http://dx.doi.org/10.1142/s2010194512004278.

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We study the finite temperature Casimir effect between perfectly conducting parallel plates in (D + 1)-dimensional spacetime by using zeta-function regularization technique. We get the analytical results for Casimir energy, Casimir free energy, Casimir entropy and Casimir pressure expressed by Riemann zeta function and Bessel function and give the asymptotic expressions for low and high temperature limits. In the case of D = 3, through mathematic transformation, we reproduce the standard results in the literature which is in most times obtained by using Green's function regularization techniqu

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28

ÖZCAN, MUSTAFA. "SCALAR CASIMIR EFFECT BETWEEN TWO CONCENTRIC D-DIMENSIONAL SPHERES." International Journal of Modern Physics A 27, no. 18 (2012): 1250094. http://dx.doi.org/10.1142/s0217751x12500947.

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The Casimir energy for a massless scalar field between the closely spaced two concentric D-dimensional (for D>3) spheres is calculated by using the mode summation with contour integration in the complex plane of eigenfrequencies and the generalized Abel–Plana formula for evenly spaced eigenfrequency at large argument. The sign of the Casimir energy between closely spaced two concentric D-dimensional spheres for a massless scalar field satisfying the Dirichlet boundary conditions is strictly negative. The Casimir energy between (D-1)-dimensional surfaces, close to each other is regarded as i

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29

Garattini, Remo, and Mir Faizal. "Hot Casimir wormholes." Journal of Cosmology and Astroparticle Physics 2025, no. 01 (2025): 081. https://doi.org/10.1088/1475-7516/2025/01/081.

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Abstract In this paper, we have for the first time considered the consequences of finite temperature contributions to a traversable wormhole. This was done by using finite temperature generalization of the Casimir effect as a source of a hot traversable wormhole. To include finite temperature effects, we have considered the plates positioned either parametrically fixed or radially varying. Such results have been obtained in both high and low-temperature regimes. We explicitly investigate the effect of such finite temperature corrections on the size of a traversable wormhole.

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30

Larraza, Andrés, Christopher D. Holmes, Robert T. Susbilla, and Bruce Denardo. "An acoustic Casimir effect." Journal of the Acoustical Society of America 103, no. 5 (1998): 2763. http://dx.doi.org/10.1121/1.421425.

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31

Milton, Kimball A. "On-chip Casimir effect." Nature Photonics 11, no. 2 (2017): 73–74. http://dx.doi.org/10.1038/nphoton.2016.277.

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32

Larraza, Andrés, and Bruce Denardo. "An acoustic Casimir effect." Physics Letters A 248, no. 2-4 (1998): 151–55. http://dx.doi.org/10.1016/s0375-9601(98)00652-5.

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33

Belinfante, Frederik J. "The Casimir effect revisited." American Journal of Physics 55, no. 2 (1987): 134–38. http://dx.doi.org/10.1119/1.15230.

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34

Moraes, Fernando. "Casimir effect around disclinations." Physics Letters A 204, no. 5-6 (1995): 399–404. http://dx.doi.org/10.1016/0375-9601(95)00524-7.

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35

Sanz, Mikel, Witlef Wieczorek, Simon Gröblacher, and Enrique Solano. "Electro-mechanical Casimir effect." Quantum 2 (September 3, 2018): 91. http://dx.doi.org/10.22331/q-2018-09-03-91.

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The dynamical Casimir effect is an intriguing phenomenon in which photons are generated from vacuum due to a non-adiabatic change in some boundary conditions. In particular, it connects the motion of an accelerated mechanical mirror to the generation of photons. While pioneering experiments demonstrating this effect exist, a conclusive measurement involving a mechanical generation is still missing. We show that a hybrid system consisting of a piezoelectric mechanical resonator coupled to a superconducting cavity may allow to electro-mechanically generate measurable photons from vacuum, intrins

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36

CHEN, Hong, YaPing YANG, and JingPing XU. "Metamaterials and Casimir effect." Chinese Science Bulletin 56, no. 13 (2011): 985–94. http://dx.doi.org/10.1360/972011-211.

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37

Hu, Jiawei, and Hongwei Yu. "Gravitational Casimir–Polder effect." Physics Letters B 767 (April 2017): 16–19. http://dx.doi.org/10.1016/j.physletb.2017.01.038.

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38

Giné, Jaume. "Casimir Effect and the Cosmological Constant." Symmetry 17, no. 5 (2025): 634. https://doi.org/10.3390/sym17050634.

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Any quantum theory of gravity at the quantum gravity scale has the expectation of the existence of a minimal observable length. It is also expected that this fundamental length has a principal role in nature at the quantum gravity scale. From the uncertainty principle that influences the quantum measurement process, the existence of a minimal measurable length can be heuristically deduced. The existence of this minimal measurable length leads to an apparent discretization of spacetime, as distinguishing below this minimal length becomes impossible. In topologically non-trivial cosmological mod

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39

Carbó-Dorca, Ramon. "A naïve HMO study of the casimir effect." Journal of Mathematical Chemistry 60, no. 3 (2022): 581–85. http://dx.doi.org/10.1007/s10910-021-01323-6.

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AbstractThe Casimir effect is discussed via an HMO treatment. At this schematic theoretical level, the Casimir effect might be considered as the result of the general quantum mechanical interaction behavior of two sets of particles.

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40

ZHAI, XIANG-HUA, XIN-ZHOU LI, and CHAO-JUN FENG. "THE CASIMIR FORCE OF QUANTUM SPRING IN THE (D+1)-DIMENSIONAL SPACETIME." Modern Physics Letters A 26, no. 09 (2011): 669–79. http://dx.doi.org/10.1142/s0217732311035110.

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The Casimir effect for a massless scalar field on the helix boundary condition which is named as quantum spring is studied in our recent paper.27 Here, the Casimir effect of the quantum spring is investigated in (D+1)-dimensional spacetime for the massless and massive scalar fields by using the zeta function techniques. We obtain the exact results of the Casimir energy and Casimir force for any D, which indicate a Z2 symmetry of the two space dimensions. The Casimir energy and Casimir force have different expressions for odd and even dimensional space in the massless case but in both cases the

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41

KLIMCHITSKAYA, G. L., and U. MOHIDEEN. "CONSTRAINTS ON YUKAWA-TYPE HYPOTHETICAL INTERACTIONS FROM RECENT CASIMIR FORCE MEASUREMENTS." International Journal of Modern Physics A 17, no. 29 (2002): 4143–52. http://dx.doi.org/10.1142/s0217751x02013162.

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Constraints on the Yukawa-type long-range interactions following from the Casimir effect are considered. The constraints obtained from the recent Casimir force measurements by means of a torsion pendulum and an atomic force microscope are collected and compared. New constraints are obtained from the measurement of the lateral Casimir force. The conclusion is made that the Casimir effect has an advantage over the conventional methods in obtaining stronger constraints on hypothetical interactions.

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42

Intravaia, F., and A. Lambrecht. "The Role of Surface Plasmon Modes in the Casimir Effect." Open Systems & Information Dynamics 14, no. 02 (2007): 159–68. http://dx.doi.org/10.1007/s11080-007-9044-4.

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In this paper, we study the role of surface plasmon modes in the Casimir effect. First we write the Casimir energy as the sum over the modes of a real cavity. We may identify two sorts of modes, two evanescent surface plasmon modes and propagative modes. As one of the surface plasmon modes becomes propagative for some choice of parameters we adopt an adiabatic mode definition where we follow this mode into the propagative sector and count it together with the surface plasmon contribution, calling this contribution “plasmonic”. The remaining modes are propagative cavity modes, which we call “ph

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43

Pereira, S. H., J. M. Hoff da Silva, and Rubia dos Santos. "Casimir effect for Elko fields." Modern Physics Letters A 32, no. 22 (2017): 1730016. http://dx.doi.org/10.1142/s0217732317300166.

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The Casimir effect for mass dimension one fermion fields (sometimes called Elko) in (3 + 1) dimensions is obtained using Dirichlet boundary conditions. It is shown that the existence of a repulsive force is four times greater than the case of the scalar field. The precise reason for such differences are highlighted and interpreted, as well as the right parallel of the Casimir effect due to scalar and fermionic fields.

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FERRARI, A. F., H. O. GIROTTI, M. GOMES, A. YU PETROV, and A. J. DA SILVA. "HOŘAVA–LIFSHITZ MODIFICATIONS OF THE CASIMIR EFFECT." Modern Physics Letters A 28, no. 12 (2013): 1350052. http://dx.doi.org/10.1142/s0217732313500521.

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We study the modifications induced by spacetime anisotropy on the Casimir effect in the case of two parallel plates. Non-perturbative and perturbative regimes are analyzed. In the first case, the Casimir force either vanishes or it reverses its direction which, in any case, makes the proposal untenable. On the other hand, the perturbative model enables us to incorporate appropriately the effects of spacetime anisotropy.

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45

Zhai, Xiang-Hua, Rui-Hui Lin, Chao-Jun Feng, and Xin-Zhou Li. "Some developments of the Casimir effect in p-cavity of (D + 1)-dimensional space–time." International Journal of Modern Physics A 29, no. 30 (2014): 1430068. http://dx.doi.org/10.1142/s0217751x14300683.

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The Casimir effect for rectangular boxes has been studied for several decades. But there are still some unclear points. Recently, there are new developments related to this topic, including the demonstration of the equivalence of the regularization methods and the clarification of the ambiguity in the regularization of the temperature-dependent free energy. Also, the interesting quantum spring was raised stemming from the topological Casimir effect of the helix boundary conditions. We review these developments together with the general derivation of the Casimir energy of the p-dimensional cavi

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46

Farrokhabadi, Amin, Javad Mokhtari, Randolph Rach, and Mohamadreza Abadyan. "Modeling the influence of the Casimir force on the pull-in instability of nanowire-fabricated nanotweezers." International Journal of Modern Physics B 29, no. 02 (2014): 1450245. http://dx.doi.org/10.1142/s0217979214502452.

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Abstract (sommario):

The Casimir force can strongly interfere with the pull-in performance of ultra-small structures. The strength of the Casimir force is significantly affected by the geometries of interacting bodies. Previous investigators have exclusively studied the effect of the Casimir force on the electromechanical instability of nanostructures with planar geometries. However no work has yet considered this effect on the pull-in instability of systems with cylindrical geometries such as nanotweezers fabricated from nanotube/nanowires. In our present work, the influence of the Casimir attraction on the elect

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47

SERNELIUS, BO E. "THE THERMAL CASIMIR EFFECT: SATURATION." International Journal of Modern Physics A 25, no. 11 (2010): 2319–27. http://dx.doi.org/10.1142/s0217751x10049591.

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This article addresses the discrepancies between theoretical and experimental results obtained for the thermal Casimir effect. Here we test the possibility that saturation effects may be the root of the problems. We present graphs that describe the numerical derivations in great detail.

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48

Lu, Bing-Sui. "The Casimir Effect in Topological Matter." Universe 7, no. 7 (2021): 237. http://dx.doi.org/10.3390/universe7070237.

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We give an overview of the work done during the past ten years on the Casimir interaction in electronic topological materials, our focus being solids, which possess surface or bulk electronic band structures with nontrivial topologies, which can be evinced through optical properties that are characterizable in terms of nonzero topological invariants. The examples we review are three-dimensional magnetic topological insulators, two-dimensional Chern insulators, graphene monolayers exhibiting the relativistic quantum Hall effect, and time reversal symmetry-broken Weyl semimetals, which are fasci

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49

FENG, CHAO-JUN, XIN-ZHOU LI, and XIANG-HUA ZHAI. "CASIMIR EFFECT UNDER QUASI-PERIODIC BOUNDARY CONDITION INSPIRED BY NANOTUBES." Modern Physics Letters A 29, no. 02 (2014): 1450004. http://dx.doi.org/10.1142/s0217732314500047.

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Abstract (sommario):

When one studies the Casimir effect, the periodic (anti-periodic) boundary condition is usually taken to mimic a periodic (anti-periodic) structure for a scalar field living in a flat space with a non-Euclidean topology. However, there could be an arbitrary phase difference between the value of the scalar field on one endpoint of the unit structure and that on the other endpoint, such as the structure of nanotubes. Then, in this paper, a periodic condition on the ends of the system with an additional phase factor, which is called the "quasi-periodic" condition, is imposed to investigate the co

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Fucci, Guglielmo. "The Casimir effect for pistons with transmittal boundary conditions." International Journal of Modern Physics A 32, no. 31 (2017): 1750182. http://dx.doi.org/10.1142/s0217751x17501822.

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Abstract (sommario):

This work focuses on the analysis of the Casimir effect for pistons subject to transmittal boundary conditions. In particular we consider, as piston configuration, a direct product manifold of the type [Formula: see text] where [Formula: see text] is a closed interval of the real line and [Formula: see text] is a smooth compact Riemannian manifold. By utilizing the spectral zeta function regularization technique, we compute the Casimir energy of the system and the Casimir force acting on the piston. Explicit results for the force are provided when the manifold [Formula: see text] is a [Formula

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