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We consider the Casimir effect in a (1+1)-dimensional model with a critical mode. Such a mode gives rise to a condensate described by the nonlinear Gross-Pitaevskii equation. In the condensate, there are two sources of the Casimir force;…

量子物理 · 物理学 2025-02-14 M. Bordag , I. G. Pirozhenko

Recently a nonuniversal character of the leading spatial behavior of the thermodynamic Casimir force has been reported [X. S. Chen and V. Dohm, Phys. Rev. E {\bf 66}, 016102 (2002)]. We reconsider the arguments leading to this observation…

统计力学 · 物理学 2009-11-10 Daniel Dantchev , Michael Krech , S. Dietrich

We study the crossover from the ordinary to the normal surface universality class in the three-dimensional Ising universality class. This crossover is relevant for the behavior of films of binary mixtures near the demixing point and a weak…

统计力学 · 物理学 2011-04-27 Martin Hasenbusch

Casimir-type forces, such as those between two neutral conducting plates, or between a sphere, atom or molecule and a plate have been widely studied and are becoming of increasing significance, for example, in nanotechnology. A key…

量子物理 · 物理学 2014-03-24 Alvaro M. Alhambra , Achim Kempf , Eduardo Martin-Martinez

We present first worldline analytical and numerical results for the nontrivial interplay between geometry and temperature dependencies of the Casimir effect. We show that the temperature dependence of the Casimir force can be significantly…

量子物理 · 物理学 2009-01-28 Klaus Klingmuller , Holger Gies

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,…

Systems described by an O(n) symmetrical $\phi^4$ Hamiltonian are considered in a $d$-dimensional film geometry at their bulk critical points. A detailed renormalization-group (RG) study of the critical Casimir forces induced between the…

统计力学 · 物理学 2012-02-22 H. W. Diehl , Felix M. Schmidt

We describe a three-dimensional geometry that exhibits a repulsive Casimir force using ordinary metallic materials, as computed via an exact numerical method (no uncontrolled approximations). The geometry consists of a zippelike,…

We give a comprehensive presentation of methods for calculating the Casimir force to arbitrary accuracy, for any number of objects, arbitrary shapes, susceptibility functions, and separations. The technique is applicable to objects immersed…

量子物理 · 物理学 2015-05-19 Sahand Jamal Rahi , Thorsten Emig , Robert L. Jaffe

The Casimir friction problem for dielectric plates that move parallel to each other is treated by assuming one of the plates to be at rest. The other performs a closed loop motion in the longitudinal direction. Therewith by use of energy…

量子物理 · 物理学 2014-03-27 Johan S. Høye , Iver Brevik

We analyze the thermodynamic Casimir effect occurring in a gas of non-interacting bosons confined by two parallel walls with a strongly anisotropic dispersion inherited from an underlying lattice. In the direction perpendicular to the…

量子气体 · 物理学 2021-09-01 Marek Napiórkowski , Pawel Jakubczyk

Recent experiments have measured the critical Casimir force acting on a colloid immersed in a binary liquid mixture near its continuous demixing phase transition and exposed to a chemically structured substrate. Motivated by these…

统计力学 · 物理学 2013-11-27 Francesco Parisen Toldin , Matthias Tröndle , S. Dietrich

Casimir effect is the attractive force which acts between two plane parallel, closely spaced, uncharged, metallic plates in vacuum. This phenomenon was predicted theoretically in 1948 and reliably investigated experimentally only in recent…

量子物理 · 物理学 2009-11-13 G. L. Klimchitskaya , V. M. Mostepanenko

Finite size effect in critical systems can be interpreted as universal Casimir forces. Here we compare the Casimir force for free, periodic and antiperiodic boundary conditions in the exactly calculable case of the Ising model in one and…

统计力学 · 物理学 2010-01-08 Roya Zandi , Joseph Rudnick , Aviva Shackell , Douglas Abraham

We calculate the Casimir interaction between two short range scatterers embedded in a background of one dimensional massless Dirac fermions using a force operator approach. We obtain the force between two finite width square barriers, and…

介观与纳米尺度物理 · 物理学 2009-11-13 Dina Zhabinskaya , Jesse M. Kinder , E. J. Mele

We provide a review of both new experimental and theoretical developments in the Casimir effect. The Casimir effect results from the alteration by the boundaries of the zero-point electromagnetic energy. Unique to the Casimir force is its…

量子物理 · 物理学 2008-11-26 M. Bordag , U. Mohideen , V. M. Mostepanenko

In this article we compute the Casimir force between two finite-width mirrors at finite temperature, working in a simplified model in 1+1 dimensions. The mirrors, considered as dissipative media, are modeled by a continuous set of harmonic…

量子物理 · 物理学 2015-05-30 Fernando C. Lombardo , Francisco D. Mazzitelli , Adrian E. Rubio Lopez

We classify the sign of the critical Casimir force between two finite objects separated by a large distance in the two dimensional systems that can be described by conformal field theory (CFT). In particular, we show that as far as the…

统计力学 · 物理学 2016-12-07 M. A. Rajabpour

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…

高能物理 - 理论 · 物理学 2014-01-07 Chao-Jun Feng , Xin-Zhou Li , Xiang-Hua Zhai

Several experimental demonstrations of the Casimir force between two closely spaced bodies have been realized over the past two decades. Extending the theory to incorporate the behavior of the force between two superconducting films close…