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We propose a diagnostic tool, a temperature estimator, for lattice gauge theory simulations. The estimator is obtained from the gradient and the Hessian of the Euclidean lattice action. It is gauge invariant, configuration-based, and…

High Energy Physics - Lattice · Physics 2026-01-27 Vamika Longia , Navdeep Singh Dhindsa , Anosh Joseph

The Casimir force and free energy at low temperatures has been the subject of focus for some time. We calculate the temperature correction to the Casimir-Lifshitz free energy between two parallel plates made of dielectric material…

Quantum Physics · Physics 2016-08-14 Simen A. Ellingsen , Iver Brevik , Johan S. Høye , Kimball A. Milton

The Casimir pressure is calculated between parallel metal plates, containing the materials Au, Cu, or Al. Our motivation for making this calculation is the need of comparing theoretical predictions, based on the Lifshitz formula, with…

Quantum Physics · Physics 2009-11-11 V. S. Bentsen , R. Herikstad , S. Skriudalen , I. Brevik , J. S. Høye

We investigate the possibility of measuring the thermal Casimir force and its gradient in the configuration of a plate and a microfabricated cylinder attached to a micromachined oscillator. The Lifshitz-type formulas in this configuration…

Quantum Physics · Physics 2015-05-20 R. S. Decca , E. Fischbach , G. L. Klimchitskaya , D. E. Krause , D. Lopez , V. M. Mostepanenko

We propose two novel experiments on the measurement of the Casimir force acting between a gold coated sphere and semiconductor plates with markedly different charge carrier densities. In the first of these experiments a patterned Si plate…

The applicability of the Lifshitz formula is discussed to the case of two thick parallel plates made of real metal. The usual description of the zero-point vacuum oscillations on the background of the frequency-dependent dielectric…

Quantum Physics · Physics 2007-05-23 V. M. Mostepanenko , A. O. Caride , G. L. Klimchitskaya , S. I. Zanette

Our preceding paper introduced a method to compute Casimir forces in arbitrary geometries and for arbitrary materials that was based on a finite-difference time-domain (FDTD) scheme. In this manuscript, we focus on the efficient…

We discuss recent experimental and theoretical results on the Casimir force between real material bodies made of different materials. Special attention is paid to calculations of the normal Casimir force acting perpendicular to the surface…

Quantum Physics · Physics 2011-03-10 G. L. Klimchitskaya

Monte Carlo simulations based on an integration scheme for free energy differences is used to compute critical Casimir forces for three-dimensional Ising films with various boundary fields. We study the scaling behavior of the critical…

Statistical Mechanics · Physics 2015-05-28 O. Vasilyev , A. Maciolek , S. Dietrich

The recent discovery that silicon nitride membranes can be used as extremely high Q mechanical resonators makes possible a number of novel experiments, which include improved long range vacuum Casimir force measurements, and measurments of…

Quantum Physics · Physics 2008-09-01 Steve Lamoreaux

Recently the influence of dielectric and geometrical properties on the Casimir force between dispersing and absorbing multilayered plates in the zero-temperature limit has been studied within a 1D quantization scheme for the electromagnetic…

Quantum Physics · Physics 2016-08-16 Christian Raabe , Ludwig Knöll , Dirk-Gunnar Welsch

The presence of finite energy in quantum vacuum has profound implications to physics at the microscopic and macroscopic levels. One of the direct consequences of vacuum energy is the Casimir Force, which is a force of attraction experienced…

General Relativity and Quantum Cosmology · Physics 2009-09-29 G. Rajalakshmi

We investigate the thermal Casimir force between two parallel plates made of different isotropic materials which are separated by a uniaxial anisotropic film. Numerical computations of the Casimir pressure at T=300K are performed using the…

Quantum Physics · Physics 2015-08-24 V. M. Mostepanenko

The high-temperature aspects of the Casimir force between two neutral conducting walls are studied. The mathematical model of "inert" ideal-conductor walls, considered in the original formulations of the Casimir effect, is based on the…

Statistical Mechanics · Physics 2016-08-31 Bernard Jancovici , Ladislav Samaj

Starting from a Lagrangian, electromagnetic field in the presence of a nonlinear dielectric medium is quantized using path-integral techniques and correlation functions of different fields are calculated. The susceptibilities of the…

Quantum Physics · Physics 2015-05-20 Fardin Kheirandish , Ehsan Amooghorban , Morteza Soltani

We calculate the Casimir force and free energy for plane metallic mirrors at non-zero temperature. Numerical evaluations are given with temperature and conductivity effects treated simultaneously. The results are compared with the…

Quantum Physics · Physics 2009-11-06 Cyriaque Genet , Astrid Lambrecht , Serge Reynaud

After a review of the standard calculation of the Casimir force between two metallic plates at zero and non-zero temperatures, we present the study of microscopic models to determine the large-distance asymptotic force in the…

Statistical Mechanics · Physics 2011-11-09 Ph. A. Martin , P. R. Buenzli

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

In this article, we derive the formula for the Casimir force acting on a piston made of real material moving inside a perfectly conducting rectangular box. It is shown that by taking suitable limits, one recovers the formula for the Casimir…

High Energy Physics - Theory · Physics 2014-11-20 L. P. Teo

In this paper we show how the stochastic quantization method developed by Parisi and Wu can be used to obtain Casimir forces. Both quantum and thermal fluctuations are taken into account by a Langevin equation for the field. The method…

Quantum Physics · Physics 2015-05-30 Pablo Rodriguez-Lopez , Ricardo Brito , Rodrigo Soto