From Brownian motion formalism to fluctuation-induced force in a general fluctuating medium

Abstract

Starting from a microscopic approach and using the formalism of quantum Brownian motion, partition function of a system composed of two separated pieces of anisotropic matter and a fluctuating medium in finite temperature is obtained rigorously. A general expression for fluctuation-induced free energy between the separated anisotropic pieces of matter is obtained and it is shown that in the framework of induced-force, the free energy of mean-force and effective free energy are equivalent.

7 pages, 1 figure, to be published in Fluctuation and Noise Letters (FNL)

References in corpus (9)

• Fluctuation Theorem for Arbitrary Open Quantum Systems
• Hamiltonian of mean force for damped quantum systems
• Casimir forces in multilayer magnetodielectrics with both gain and loss
• Lifshitz Interaction between Dielectric Bodies of Arbitrary Geometry
• Electromagnetic field quantization in a magnetodielectric medium with external charges
• Finite temperature Casimir effect in the presence of nonlinear dielectrics
• Green's Function expansion of scalar and vector fields in the presence of a medium
• A perturbative approach to calculating the Casimir force in fluctuating scalar and vector fields
• Hamiltonian of mean force and a damped harmonic oscillator in an anisotropic medium