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Journal articles on the topic 'Casimir Effects'

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Author: Grafiati

Published: 10 December 2022

Last updated: 28 January 2023

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1

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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2

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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3

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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4

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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5

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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6

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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7

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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8

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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9

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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10

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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11

Zhang, Pengfei, and Qiang Wang. "Interactions between Colloidal Particles Mediated by Nonadsorbing Polymers: Casimir and Anti-Casimir Effects." Macromolecules 53, no. 20 (October 15, 2020): 8883–88. http://dx.doi.org/10.1021/acs.macromol.0c01164.

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12

Cerdonio, Massimo, and Carlo Rovelli. "Casimir effects are not an experimental demonstration that free vacuum gravitates: connections to the Cosmological Constant Problem." International Journal of Modern Physics D 24, no. 12 (October 2015): 1544020. http://dx.doi.org/10.1142/s0218271815440204.

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We discuss a concrete model of a Casimir cavity, with plane parallel metallic plates kept in mechanical equilibrium by a spring and placed in a weak gravitational field. We show that simple basic physics implies that the plates cannot be idealized as massless and therefore the effect of the vacuum is inextricably connected with the interaction with the matter of the plates. In Casimir cavities, it is a vacuum bound by matter which is at work. Therefore, the existence of the Casimir force does not imply that free vacuum gravitates and contributes to the cosmological constant.

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13

GRAHAM, NOAH, ROBERT L. JAFFE, and HERBERT WEIGEL. "CASIMIR EFFECTS IN RENORMALIZABLE QUANTUM FIELD THEORIES." International Journal of Modern Physics A 17, no. 06n07 (March 20, 2002): 846–69. http://dx.doi.org/10.1142/s0217751x02010224.

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We present a framework for the study of one–loop quantum corrections to extended field configurations in renormalizable quantum field theories. We work in the continuum, transforming the standard Casimir sum over modes into a sum over bound states and an integral over scattering states weighted by the density of states. We express the density of states in terms of phase shifts, allowing us to extract divergences by identifying Born approximations to the phase shifts with low order Feynman diagrams. Once isolated in Feynman diagrams, the divergences are canceled against standard counterterms. Thus regulated, the Casimir sum is highly convergent and amenable to numerical computation. Our methods have numerous applications to the theory of solitons, membranes, and quantum field theories in strong external fields or subject to boundary conditions.

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14

ABE, HIROYUKI, JUNYA HASHIDA, TAIZO MUTA, and AGUS PURWANTO. "PATH-INTEGRAL FORMULATION OF CASIMIR EFFECTS IN SUPERSYMMETRIC QUANTUM ELECTRODYNAMICS." Modern Physics Letters A 14, no. 16 (May 30, 1999): 1033–42. http://dx.doi.org/10.1142/s0217732399001097.

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The path-integral method of calculating the Casimir energy between two parallel conducting plates is developed within the framework of supersymmetric quantum electrodynamics at vanishing temperature as well as at finite temperature. The choice of the suitable boundary condition for the photino on the plates is argued and the physically acceptable condition is adopted which eventually breaks the supersymmetry. The photino mass term is introduced in the Lagrangian and the photino mass dependence of the Casimir energy and pressure is fully investigated.

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15

Jie Yao, Jie Yao, Yafei Yu Yafei Yu, and Zhiming Zhang Zhiming Zhang. "Effects of Casimir force on high-order sideband generation in an optomechanical system." Chinese Optics Letters 16, no. 11 (2018): 111201. http://dx.doi.org/10.3788/col201816.111201.

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16

CHEN, F., U. MOHIDEEN, and P. W. MILONNI. "LIMITS ON NON-NEWTONIAN GRAVITY AND HYPOTHETICAL FORCES FROM MEASUREMENTS OF THE CASIMIR FORCE." International Journal of Modern Physics A 20, no. 11 (April 30, 2005): 2222–31. http://dx.doi.org/10.1142/s0217751x05024420.

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Modern unification theories that seek to unify gravity with the other fundamental forces predict a host of new particles outside the standard model. Many also invoke extra dimensions. Both of these effects lead to deviations from Newtonian gravity. For sub micron distance between two bodies, the Casimir force far exceeds the gravitational force. Thus both understanding and using the Casimir force is very important for checking the relevance of these unification theories. In particular, measurements of the Casimir force has allowed one to set some of the strongest constraints for corresponding distance regions. This paper summarizes the techniques used to measure the Casimir force and some of the limits that follow from them.

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17

Schaden, Martin, and Larry Spruch. "Infinity-free semiclassical evaluation of Casimir effects." Physical Review A 58, no. 2 (August 1, 1998): 935–53. http://dx.doi.org/10.1103/physreva.58.935.

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18

CALLONI, E., L. DI FIORE, G. ESPOSITO, L. MILANO, and L. ROSA. "GRAVITATIONAL EFFECTS ON A RIGID CASIMIR CAVITY." International Journal of Modern Physics A 17, no. 06n07 (March 20, 2002): 804–7. http://dx.doi.org/10.1142/s0217751x02010157.

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Vacuum fluctuations produce a force acting on a rigid Casimir cavity in a weak gravitational field. Such a force is here evaluated and is found to have opposite direction with respect to the gravitational acceleration; the order of magnitude for a multi-layer cavity configuration is analyzed and experimental detection is discussed, bearing in mind the current technological resources.

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19

Mattos, T. G., L. Harnau, and S. Dietrich. "Many-body effects for critical Casimir forces." Journal of Chemical Physics 138, no. 7 (February 21, 2013): 074704. http://dx.doi.org/10.1063/1.4791554.

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20

Brown-Hayes, M., J. H. Brownell, D. A. R. Dalvit, W. J. Kim, A. Lambrecht, F. C. Lombardo, F. D. Mazzitelli, et al. "Thermal and dissipative effects in Casimir physics." Journal of Physics A: Mathematical and General 39, no. 21 (May 10, 2006): 6195–208. http://dx.doi.org/10.1088/0305-4470/39/21/s10.

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21

Wang, Jing. "DEPENDENCE OF GRAVITATIONAL CASIMIR EFFECTS ON GW FREQUENCY IN NS BINARY." International Journal of Advanced Research 10, no. 03 (March 31, 2022): 118–23. http://dx.doi.org/10.21474/ijar01/14371.

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In this paper, we investigate the dependence of gravitational Casimir effects on the frequencies of gravitational waves (GWs) in inspiraling neutron star (NS) binaries, with wide separation of . We introduce a mapping to describe the gravitational interactions and reflections on quantum scale and the frequency-dependent operator to depict the GWs/gravitons scattering. Accordingly, the gravitational fluctuation fields, i.e., GWs, can be decomposed as the gravitoelectric fields and gravitomagnetic fields, arising from the gravitoelectromagnetism due to the orbital motion of compact NS binaries, which can be unified as the gravitoelectric fields, because of their mutual induction. Because frequencies of GWs depend on both geometry and mass-density of the sources, we divide the calculations into geometric effects and mass effects. It is found that the dependence of gravitational Casimir energy arising from the quadruple moments on the GWs frequencies mainly give expressed to the post-Newtonian expansion coefficient. While the mass variation induced dependence on GW frequencies scales as in low-frequency GW sources, which reflects the temperature dependence of gravitational Casimir energy in wide inspiraling NS binaries.

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22

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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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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23

LAMBRECHT, ASTRID, and SERGE REYNAUD. "CASIMIR EFFECT: THEORY AND EXPERIMENTS." International Journal of Modern Physics A 27, no. 15 (June 14, 2012): 1260013. http://dx.doi.org/10.1142/s0217751x12600135.

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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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24

Klimchitskaya, Galina, Vladimir Mostepanenko, René Sedmik, and Hartmut Abele. "Prospects for Searching Thermal Effects, Non-Newtonian Gravity and Axion-Like Particles: Cannex Test of the Quantum Vacuum." Symmetry 11, no. 3 (March 20, 2019): 407. http://dx.doi.org/10.3390/sym11030407.

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We consider the Cannex (Casimir And Non-Newtonian force EXperiment) test of the quantum vacuum intended for measuring the gradient of the Casimir pressure between two flat parallel plates at large separations and constraining parameters of the chameleon model of dark energy in cosmology. A modification of the measurement scheme is proposed that allows simultaneous measurements of both the Casimir pressure and its gradient in one experiment. It is shown that with several improvements the Cannex test will be capable to strengthen the constraints on the parameters of the Yukawa-type interaction by up to an order of magnitude over a wide interaction range. The constraints on the coupling constants between nucleons and axion-like particles, which are considered as the most probable constituents of dark matter, could also be strengthened over a region of axion masses from 1 to 100 meV.

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25

SERNELIUS, BO E. "THE THERMAL CASIMIR EFFECT: SATURATION." International Journal of Modern Physics A 25, no. 11 (April 30, 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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26

SERNELIUS, BO E. "CASIMIR EFFECTS IN GRAPHENE SYSTEMS: UNEXPECTED POWER LAWS." International Journal of Modern Physics: Conference Series 14 (January 2012): 531–40. http://dx.doi.org/10.1142/s2010194512007660.

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We present calculations of the zero-temperature Casimir interaction between two freestanding graphene sheets as well as between a graphene sheet and a substrate. Results are given for undoped graphene and for a set of doping levels covering the range of experimentally accessible values. We describe different approaches that can be used to derive the interaction. We point out both the predicted power law for the interaction and the actual distance dependence.

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27

Maclay, G. Jordan, Heidi Fearn, and Peter W. Milonni. "Of some theoretical significance: implications of Casimir effects." European Journal of Physics 22, no. 4 (July 1, 2001): 463–69. http://dx.doi.org/10.1088/0143-0807/22/4/323.

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28

Benassi, A., and C. Calandra. "Size quantization effects in thin film Casimir interaction." Journal of Physics: Conference Series 161 (April 1, 2009): 012007. http://dx.doi.org/10.1088/1742-6596/161/1/012007.

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29

Ttira, C. Ccapa, C. D. Fosco, and E. L. Losada. "Non-superposition effects in the Dirichlet–Casimir effect." Journal of Physics A: Mathematical and Theoretical 43, no. 23 (May 13, 2010): 235402. http://dx.doi.org/10.1088/1751-8113/43/23/235402.

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30

Sisman, Altug, and Ingo Muller. "The Casimir-like size effects in ideal gases." Physics Letters A 320, no. 5-6 (January 2004): 360–66. http://dx.doi.org/10.1016/j.physleta.2003.11.054.

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31

Elizalde, E. "Casimir effects in Tori and pairs of plates." Physics Letters B 213, no. 4 (November 1988): 477–81. http://dx.doi.org/10.1016/0370-2693(88)91295-6.

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32

Khusnutdinov, N., and L. M. Woods. "Casimir Effects in 2D Dirac Materials (Scientific Summary)." JETP Letters 110, no. 3 (August 2019): 183–92. http://dx.doi.org/10.1134/s0021364019150013.

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33

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 (April 19, 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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34

CANAGUIER-DURAND, ANTOINE, ROMAIN GUÉROUT, PAULO A. MAIA NETO, ASTRID LAMBRECHT, and SERGE REYNAUD. "THE CASIMIR EFFECT IN THE SPHERE-PLANE GEOMETRY." International Journal of Modern Physics: Conference Series 14 (January 2012): 250–59. http://dx.doi.org/10.1142/s2010194512007374.

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We present calculations of the Casimir interaction between a sphere and a plane, using a multipolar expansion of the scattering formula. This configuration enables us to study the nontrivial dependence of the Casimir force on the geometry, and its correlations with the effects of imperfect reflection and temperature. The accuracy of the Proximity Force Approximation (PFA) is assessed, and is shown to be affected by imperfect reflexion. Our analytical and numerical results at ambient temperature show a rich variety of interplays between the effects of curvature, temperature, finite conductivity, and dissipation.

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35

Fried, H. M., T. Grandou, and R. Hofmann. "Casimir operator dependences of nonperturbative fermionic QCD amplitudes." International Journal of Modern Physics A 31, no. 20n21 (July 27, 2016): 1650120. http://dx.doi.org/10.1142/s0217751x16501207.

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In eikonal and quenched approximations, it is argued that the strong coupling fermionic QCD Green’s functions and related amplitudes depart from a sole dependence on the [Formula: see text] quadratic Casimir operator, [Formula: see text], evaluated over the fundamental gauge group representation. Noted in nonrelativistic quark models and in a nonperturbative generalization of the Schwinger mechanism, an additional dependence on the cubic Casimir operator shows up, in contradistinction with perturbation theory and other nonperturbative approaches. However, it accounts for the full algebraic content of the rank-2 Lie algebra of [Formula: see text]. Though numerically subleading effects, cubic Casimir dependences, here and elsewhere, appear to be a signature of the nonperturbative fermionic sector of QCD.

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36

Zou, J., and X. F. Li. "Effect of the Casimir Force on Buckling of a Double-Nanowire System with Surface Effects." International Journal of Structural Stability and Dynamics 18, no. 10 (October 2018): 1850118. http://dx.doi.org/10.1142/s0219455418501183.

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Structural stability of a double-nanowire system with surface effects subjected to axial compressive forces is analyzed. Taking into account the Casimir force between the two nanowires, two coupled governing equations for buckling of a double-nanowire system are derived. For four typical end supports including simply-supported, clamped, cantilevered, and clamped-pinned double-nanowire systems, the characteristic equations are derived and the critical loads are determined for the out-of-phase in-plane buckling. Numerical results indicate that positive surface elasticity enhances the load-carrying capacity of the nanowires, and the reverse is also true. The Casimir force and residual surface tension always increase the critical loads.

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37

MOJAHEDI, M., M. T. AHMADIAN, and K. FIROOZBAKHSH. "EFFECTS OF CASIMIR AND VAN DER WAALS FORCES ON THE PULL-IN INSTABILITY OF THE NONLINEAR MICRO AND NANO-BRIDGE GYROSCOPES." International Journal of Structural Stability and Dynamics 14, no. 02 (January 5, 2014): 1350059. http://dx.doi.org/10.1142/s0219455413500594.

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The influence of Casimir and van der Waals forces on the instability of vibratory micro and nano-bridge gyroscopes with proof mass attached to its midpoint is studied. The gyroscope subjected to the base rotation, Casimir and van der Waals attractions is actuated and detected by electrostatic methods. The system has two coupled bending motions actuated by the electrostatic and Coriolis forces. First a system of nonlinear equations for the flexural-flexural deflection of beam gyroscopes is derived using the extended Hamilton's principle. In modeling, the nonlinearities due to mid-plane stretching, electrostatic forces, including fringing field, Casimir and van der Waals attractions, are considered. The method of homotopy perturbation is used to solve the equations of equilibrium, with the solution validated by numerical methods. In addition, the effect of nondimensional parameters on the instability and deflection of the gyroscope is investigated. The data presented can be used in the design of vibratory micro/nano gyroscopes.

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38

Erdas, Andrea. "Thermal effects on the Casimir energy of a Lorentz-violating scalar in magnetic field." International Journal of Modern Physics A 36, no. 20 (July 16, 2021): 2150155. http://dx.doi.org/10.1142/s0217751x21501554.

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In this work, I investigate the finite temperature Casimir effect due to a massive and charged scalar field that breaks Lorentz invariance in a CPT-even, aether-like way. I study the cases of Dirichlet and mixed (Dirichlet–Neumann) boundary conditions on a pair of parallel plates. I will not examine the case of Neumann boundary conditions since it produces the same results as Dirichlet boundary conditions. The main tool used in this investigation is the [Formula: see text]-function technique that allows me to obtain the Helmholtz free energy and Casimir pressure in the presence of a uniform magnetic field perpendicular to the plates. Three cases of Lorentz asymmetry are studied: timelike, spacelike and perpendicular to the magnetic field, spacelike and parallel to the magnetic field. Asymptotic cases of small plate distance, high temperature, strong magnetic field, and large mass will be considered for each of the three types of Lorentz asymmetry and each of the two types of boundary conditions examined. In all these cases, simple and very accurate analytic expressions of the thermal corrections to the Casimir energy and pressure are obtained and I discover that these corrections strongly depend on the direction of the unit vector that produces the breaking of the Lorentz symmetry.

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39

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 (December 22, 2014): 1450245. http://dx.doi.org/10.1142/s0217979214502452.

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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 electrostatic response and pull-in instability of nanotweezers fabricated from cylindrical conductive nanowires/nanotubes is theoretically investigated. An asymptotic solution, based on scattering theory, is applied to consider the effect of vacuum fluctuations in the theoretical model. The Euler–Bernoulli beam model is employed, in conjunction with the size-dependent modified couple stress continuum theory, to derive the governing equation of the nanotweezers. The governing nonlinear equations are solved by two different approaches, i.e., the modified Adomian–Padé method (MAD–Padé) and a numerical solution. Various aspects of the problem, i.e., the variation of pull-in parameters, effect of geometry, coupling between the Casimir force and size dependency effects and comparison with the van der Waals force regime are discussed.

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40

da Silva, Dêivid R., M. B. Cruz, and E. R. Bezerra de Mello. "Fermionic Casimir effect in Horava–Lifshitz theories." International Journal of Modern Physics A 34, no. 20 (July 20, 2019): 1950107. http://dx.doi.org/10.1142/s0217751x19501070.

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In this paper, we analyze the fermionic Casimir effects associated with a massless quantum field in the context of Lorentz symmetry violation approach based on Horava–Lifshitz methodology. In order to obtain these observables, we impose the standard MIT bag boundary condition on the fields on two large and parallel plates. Our main objectives are to investigate how the Casimir energy and pressure depend on the parameter associated with the breaking of Lorentz symmetry.

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41

Santos, A. F., S. C. Ulhoa, and Faqir C. Khanna. "Casimir effect and Stefan–Boltzmann law at finite temperature in a Friedmann–Robertson–Walker universe." International Journal of Modern Physics D 29, no. 07 (May 2020): 2050045. http://dx.doi.org/10.1142/s0218271820500455.

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A spatially flat Friedmann–Robertson–Walker background with a general scale factor is considered. In this spacetime, the energy–momentum tensor of the scalar field with a general curvature coupling parameter is obtained. Using the Thermo Field Dynamics (TFD) formalism, the Stefan–Boltzmann law and the Casimir effect at finite temperature are calculated. The Casimir effect at zero temperature is also considered. The expansion of the universe changes these effects. A discussion of these modifications is presented.

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IORIO, ALFREDO, SAMIK SEN, and SIDDHARTHA SEN. "DO QUANTUM EFFECTS HOLD TOGETHER DNA CONDENSATES?" International Journal of Modern Physics B 24, no. 03 (January 30, 2010): 323–30. http://dx.doi.org/10.1142/s0217979210054919.

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We model DNA-cation complexes as infinite, one-dimensional, charged wires to single-out the interaction due to quantum fluctuations of the electric field from counterion-induced and water-related interactions. We obtain a frustration-free Casimir-like (codimension 2) interaction that extensive numerical analysis show to be a good candidate to explain the formation and stability of DNA aggregates.

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KOTANJYAN, A. S., A. A. SAHARIAN, and V. M. BARDEGHYAN. "CASIMIR-POLDER POTENTIAL IN THE GEOMETRY OF COSMIC STRING WITH CYLINDRICAL SHELL." International Journal of Modern Physics: Conference Series 14 (January 2012): 416–24. http://dx.doi.org/10.1142/s2010194512007532.

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Combined effects on the Casimir-Polder potential due to a cosmic string and coaxial metallic cylindrical shell are investigated. For the both regions inside and outside the shell, the potential is decomposed into pure string and shell-induced parts. In a special case of an isotropic polarizability tensor, the Casimir-Polder force in the interior region is attractive with respect to the shell. In the exterior region the force is attractive near the shell and repulsive at large distances from the shell.

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44

Pinto, Fabrizio. "Nanomechanical sensing of gravitational wave-induced Casimir force perturbations." International Journal of Modern Physics D 23, no. 12 (October 2014): 1442001. http://dx.doi.org/10.1142/s0218271814420012.

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It is shown by means of the optical medium analogy that the static Casimir force between two conducting plates is modulated by gravitational waves. The magnitude of the resulting force changes within the range of already existing small force metrology. It is suggested to enhance the effects on a Casimir force oscillator by mechanical parametric amplification driven by periodic illumination of interacting semiconducting boundaries. This represents a novel opportunity for the ground-based laboratory detection of gravitational waves on the nanoscale.

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45

Moghimi Zand, M., and M. T. Ahmadian. "Dynamic pull-in instability of electrostatically actuated beams incorporating Casimir and van der Waals forces." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 224, no. 9 (September 1, 2010): 2037–47. http://dx.doi.org/10.1243/09544062jmes1716.

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In this study, influences of intermolecular forces on the dynamic pull-in instability of electrostatically actuated beams are investigated. The effects of midplane stretching, electrostatic actuation, fringing fields, and intermolecular forces are considered. The boundary conditions of the beams are clamped—free and clamped—clamped. A finite-element model is developed to discretize the governing equations, and Newmark time discretization is then employed to solve the discretized equations. The static pull-in instability is investigated to validate the model. Finally, dynamic pull-in instability of cantilevers and double-clamped beams are studied considering the Casimir and van der Waals effects. The results indicate that by increasing the Casimir and van der Waals effects, the effect of inertia on pull-in values considerably increases.

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MOSTEPANENKO, V. M., R. S. DECCA, E. FISCHBACH, B. GEYER, G. L. KLIMCHITSKAYA, D. E. KRAUSE, D. LÓPEZ, and U. MOHIDEEN. "WHY SCREENING EFFECTS DO NOT INFLUENCE THE CASIMIR FORCE." International Journal of Modern Physics A 24, no. 08n09 (April 10, 2009): 1721–42. http://dx.doi.org/10.1142/s0217751x09045303.

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The Lifshitz theory of dispersion forces leads to thermodynamic and experimental inconsistencies when the role of drifting charge carriers is included in the model of the dielectric response. Recently modified reflection coefficients were suggested that take into account screening effects and diffusion currents. We demonstrate that this theoretical approach leads to a violation of the third law of thermodynamics (Nernst's heat theorem) for a wide class of materials and is excluded by the data from two recent experiments. The physical reason for its failure is explained by the violation of thermal equilibrium, which is the fundamental applicability condition of the Lifshitz theory, in the presence of drift and diffusion currents.

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Hashimoto, T. "QCD Casimir Effects with Bag Boundary at Finite Temperature." Progress of Theoretical Physics 73, no. 5 (May 1, 1985): 1223–34. http://dx.doi.org/10.1143/ptp.73.1223.

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Sernelius, B. E. "Saturation effects in experiments on the thermal Casimir effect." EPL (Europhysics Letters) 87, no. 1 (July 1, 2009): 14004. http://dx.doi.org/10.1209/0295-5075/87/14004.

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49

de Albuquerque, L. C., C. Farina, and A. C. Tort. "Thermal effects on the Casimir mass in λφ4 theory." Physics Letters B 420, no. 3-4 (February 1998): 319–22. http://dx.doi.org/10.1016/s0370-2693(97)01502-5.

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Scardicchio, A., and R. L. Jaffe. "Casimir effects: an optical approach I. Foundations and examples." Nuclear Physics B 704, no. 3 (January 2005): 552–82. http://dx.doi.org/10.1016/j.nuclphysb.2004.10.017.

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