Non-equilibrium statistical mechanics of the heat bath for two Brownian particles

Abstract

We propose a new look at the heat bath for two Brownian particles, in which the heat bath as a `system' is both perturbed and sensed by the Brownian particles. Non-local thermal fluctuation give rise to bath-mediated static forces between the particles. Based on the general sum-rule of the linear response theory, we derive an explicit relation linking these forces to the friction kernel describing the particles' dynamics. The relation is analytically confirmed in the case of two solvable models and could be experimentally challenged. Our results point out that the inclusion of the environment as a part of the whole system is important for micron- or nano-scale physics.

4 main pages, 2 figures

References in corpus (1)

• Irreversible dynamics of a massive intruder in dense granular fluids

Cited by in corpus (6)

• Minimal Model of Stochastic Athermal Systems: Origin of Non-Gaussian Noise
• Interacting Brownian dynamics in a nonequilibrium particle bath
• Asymptotic derivation of Langevin-like equation with non-Gaussian noise and its analytical solution
• Weak Galilean invariance as a selection principle for coarse-grained diffusive models
• Hydrodynamic fluctuation-induced forces in confined fluids
• Laser-induced heating for the experimental study of critical Casimir forces with optical trapping