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We discuss the Casimir effect for massless scalar fields subject to the Dirichlet boundary conditions on the parallel plates at finite temperature in the presence of one fractal extra compactified dimension. We obtain the Casimir energy…

高能物理 - 理论 · 物理学 2015-05-30 Hongbo Cheng

We study the finite temperature Casimir interaction between a cylinder and a plate using the exact formula derived from the Matsubara representation and the functional determinant representation. We consider the scalar field with Dirichlet…

量子物理 · 物理学 2011-08-12 L. P. Teo

The zeta function regularization technique is used to study the finite temperature Casimir effect for a charged and massless scalar field confined between parallel plates and satisfying Dirichlet boundary conditions at the plates. A…

高能物理 - 理论 · 物理学 2013-11-13 Andrea Erdas , Kevin P. Seltzer

In this paper, we investigate the role of gravito-inertial effects on the Casimir energy of a massless scalar field confined between two parallel plates orbiting a static and zero tidal Schwarzschild-like wormhole, at zero temperature.…

广义相对论与量子宇宙学 · 物理学 2021-03-02 A. C. L. Santos , C. R. Muniz , L. T. Oliveira

Landau-Ginzburg $\phi^4$ field theory is usually applied to systems for understanding continuous phase transitions at critical points. Here we analyze the thermal field using a similar free energy description from a statistical field theory…

统计力学 · 物理学 2021-10-22 Venkat Abhignan , R. Sankaranarayanan

We calculate the low temperature corrections to the free energy for a sphere in front of a plane. First, the scalar field obeying Dirichet or Neumann boundary conditions is considered. Second, the electromagnetic field is studied, the…

量子物理 · 物理学 2015-05-19 Michael Bordag , Irina G. Pirozhenko

We consider the finite temperature Casimir interaction between two Dirichlet spheres in $(D+1)$-dimensional Minkowski spacetime. The Casimir interaction free energy is derived from the zero temperature Casimir interaction energy via the…

高能物理 - 理论 · 物理学 2015-06-19 L. P. Teo

We study the dependence on the temperature T of Casimir effects for a range of systems, and in particular for a pair of ideal parallel conducting plates, separated by a vacuum. We study the Helmholtz free energy, combining Matsubara's…

量子物理 · 物理学 2013-05-29 Martin Schaden , Larry Spruch

In this paper, we study the finite-temperature quantum fluctuation of a classical liquid induced by the topology of an effective conical spacetime, as well as by a quasi-periodic boundary condition. The conical spacetime could be either a…

高能物理 - 理论 · 物理学 2022-01-21 K. E. L. de Farias , Azadeh Mohammadi , Herondy F. Santana Mota

We calculate the Casimir energy for scalar and gauge fields in interaction with zero-width mirrors, including quantum effects due to the matter fields inside the mirrors. We consider models where those fields are either scalar or fermionic,…

高能物理 - 理论 · 物理学 2008-11-26 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

Finite temperature Casimir theory of the Dirichlet scalar field is developed, assuming that there is a conventional Casimir setup in physical space with two infinitely large plates separated by a gap R and in addition an arbitrary number q…

高能物理 - 理论 · 物理学 2014-11-18 Marianne Rypestøl , Iver Brevik

The controversy concerning the temperature correction to the Casimir force has been ongoing for almost a decade with no view to a solution and has recently been extended to include semiconducting materials. We review some theoretical…

量子物理 · 物理学 2015-05-13 Simen A. Ådnøy Ellingsen , Iver Brevik , Johan S. Høye , Kimball A. Milton

The temperature dependence of the Casimir effect for the radiation field confined between two conducting plates is analysed. The Casimir energy is shown to decline exponentially with temperature while the Casimir entropy which is defined in…

量子物理 · 物理学 2007-05-23 M. Revzen , A. Mann

A piston is introduced into a spherical lune Casimir cavity turning it into two adjacent lunes separated by the (hemispherical) piston. On the basis of zeta function regularisation, the vacuum energy of the arrangement is finite for…

高能物理 - 理论 · 物理学 2011-07-11 J. S. Dowker

We study the vacuum polarization (Casimir) energy in renormalizable, continuum quantum field theory in the presence of a background field, designed to impose Dirichlet boundary conditions on the fluctuating quantum field. In two and three…

高能物理 - 理论 · 物理学 2007-05-23 H. Weigel

The zeta function regularization technique is used to study the Casimir effect for a scalar field of mass $m$ satisfying Dirichlet boundary conditions on a spherical surface of radius $a$. In the case of large scalar mass, $ma\gg1$, simple…

高能物理 - 理论 · 物理学 2015-09-29 Andrea Erdas

We calculate the Casimir energy and entropy for two spheres described by the perfect metal model, plasma model, and Drude model in the large separation limit. We obtain nonmonotonic behavior of the Helmholtz free energy with separation and…

统计力学 · 物理学 2015-05-28 Pablo Rodriguez-Lopez

We present an entirely microscopic calculation of the Casimir force $f(d)$ between two metallic plates in the limit of large separation $d$. The models of metals consist of mobile quantum charges in thermal equilibrium with the photon field…

量子物理 · 物理学 2009-11-13 P. R. Buenzli , Ph. A. Martin

We study the fundamental limitations of cooling to absolute zero for a qubit, interacting with a single mode of the electromagnetic field. Our results show that the dynamical Casimir effect, which is unavoidable in any finite-time…

量子物理 · 物理学 2015-02-19 G. Benenti , G. Strini

The analytic asymptotic expressions for the Casimir free energy and entropy for two parallel graphene sheets possessing nonzero energy gap $\Delta$ and chemical potential $\mu$ are derived at arbitrarily low temperature. Graphene is…

其他凝聚态物理 · 物理学 2020-07-15 G. L. Klimchitskaya , V. M. Mostepanenko