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In this paper, we use the formalism of finite-temperature quantum field theory to investigate the Casimir force between flat, ideally conductive surfaces containing confined, but mobile ions. We demonstrate that, in the Gaussian…

Quantum Physics · Physics 2025-04-24 Yu. A. Budkov , P. E. Brandyshev

We calculate the increase in the number of modes (the Kac number) per unit length and the change in the zero-point energy (the Casimir energy) of the electromagnetic field resulting from the introduction of a thin perfectly conducting…

Statistical Mechanics · Physics 2014-03-17 Joseph P. Straley , Graham A. White , Eugene B. Kolomeisky

Continuing the discussion on negative entropy in Casimir-effect like configurations, we consider two simple one-dimensional examples. One is the s-wave contribution to a plasma sphere and the other a single delta function potential. Some…

Quantum Physics · Physics 2018-07-30 M. Bordag

It has been known that the fundamental Lifshitz theory, which is based on first principles of thermal quantum field theory, experiences difficulties when compared with precise measurements of the Casimir force. We analyze the…

Quantum Physics · Physics 2023-05-05 G. L. Klimchitskaya , V. M. Mostepanenko

The phenomena implied by the existence of quantum vacuum fluctuations, grouped under the title of the Casimir effect, are reviewed, with emphasis on new results discovered in the past four years. The Casimir force between parallel plates is…

High Energy Physics - Theory · Physics 2011-07-19 Kimball A. Milton

The time-dependence of the quantum entropy for a two-level atom interacting with a single-cavity mode is computed using the Jaynes-Cummings model, when the initial state of the radiation field is prepared in a thermal state with temperature…

Quantum Physics · Physics 2022-01-26 Jorge David Castaño-Yepes

We compute the finite temperature Casimir energy for massive scalar field with general curvature coupling subject to Dirichlet or Neumann boundary conditions on the walls of a closed cylinder with arbitrary cross section, located in a…

High Energy Physics - Theory · Physics 2009-12-04 L. P. Teo

Casimir forces can appear between intrusions placed in different media driven by several fluctuation mechanisms, either in equilibrium or out of it. Herein, we develop a general formalism to obtain such forces from the dynamical equations…

Statistical Mechanics · Physics 2015-05-20 Pablo Rodriguez-Lopez , Ricardo Brito , Rodrigo Soto

The uncertainty principle guarantees a non-zero value for the positional uncertainty, $\left\langle \Delta x^2\right\rangle > 0$, even without thermal fluctuations. This implies that quantum fluctuations inherently enhance positional…

Statistical Mechanics · Physics 2025-09-08 Harukuni Ikeda

We derive the low-temperature behavior of the Casimir-Polder free energy for a polarizable atom interacting with graphene sheet which possesses the nonzero energy gap $\Delta$ and chemical potential $\mu$. The response of graphene to the…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 G. L. Klimchitskaya , V. M. Mostepanenko

In this paper we present the un-Casimir effect, namely the study of the Casimir energy in the presence of an unparticle component in addition to the electromagnetic field contribution. The distinctive feature of the un-Casimir effect is a…

High Energy Physics - Phenomenology · Physics 2017-07-27 Antonia M. Frassino , Piero Nicolini , Orlando Panella

Collisionless plasmas exhibit nonthermal particle distributions after being energized; as a consequence, they enter a state of low Boltzmann-Gibbs (BG) entropy relative to the thermal state. The Vlasov equations predict that in a…

High Energy Astrophysical Phenomena · Physics 2022-07-21 Vladimir Zhdankin

The leading semiclassical estimates of the electromagnetic Casimir stresses on a spherical and a cylindrical metallic shell are within 1% of the field theoretical values. The electromagnetic Casimir energy for both geometries is given by…

Quantum Physics · Physics 2015-05-19 Martin Schaden

We apply the quasi-local stress-energy tensor formalism to the Casimir effect of a scalar field confined between conducting planes located in a static spacetime. We show that the surface energy vanishes for both Neumann and Dirichlet…

High Energy Physics - Theory · Physics 2022-10-07 Borzoo Nazari

We show that the non-additivity relation of the Tsallis entropies in nonextensive statistical mechanics has a simple physical interpretation for systems with fluctuating temperature or fluctuating energy dissipation rate. We also show that…

Statistical Mechanics · Physics 2009-11-07 Christian Beck

In this paper, dedicated to the career of Tom Erber, we consider the Casimir interaction between weakly coupled bodies at nonzero temperature. For the case of semitransparent bodies, that is, ones described by delta-function potentials, we…

High Energy Physics - Theory · Physics 2010-03-18 Kimball A. Milton , Prachi Parashar , Jef Wagner , K. V. Shajesh

The frequency spectrum of the finite temperature correction to the Casimir force can be determined by use of the Lifshitz formalism for metallic plates of finite conductivity. We show that the correction for the $TE$ electromagnetic modes…

Quantum Physics · Physics 2007-05-23 J. R. Torgerson , S. K. Lamoreaux

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…

Statistical Mechanics · Physics 2021-10-22 Venkat Abhignan , R. Sankaranarayanan

The correct description of the standard Casimir effect for periodic boundary conditions via light front formalism implies in these conditions imposed at fixed Minkowski times [Almeida {\it et al.} Phys. Rev. {\bf D 87}, 065028 (2013);…

High Energy Physics - Theory · Physics 2015-01-07 P. L. M. Rodrigues , Silvana Perez , Danilo T. Alves , Van Sérgio Alves , Charles R. Silva

A theory is proposed for the component of the Casimir-like force that arises between bodies embedded in a macroscopic quantum damped oscillator. When the oscillator's parameters depend on the distance between the bodies, the…

Quantum Physics · Physics 2026-02-16 Yu. S. Barash