Microscopic description of the equality between violation of fluctuation-dissipation relation and energy dissipation

TL;DR

This paper provides a microscopic mechanical explanation for the equality between fluctuation-dissipation violation and energy dissipation in non-equilibrium systems, specifically colloidal particles, extending previous Langevin-based results.

Contribution

It offers a microscopic derivation of the fluctuation-dissipation and energy dissipation relation for colloidal systems based on classical mechanics.

Findings

Established a microscopic framework for the fluctuation-dissipation relation violation

Connected energy dissipation directly to microscopic mechanical properties

Extended previous Langevin equation results to real colloidal systems

Abstract

In systems far from equilibrium, the fluctuation-dissipation relation is violated due to the lack of detailed balance. Recently, for a class of Langevin equations, it has been proved that this violation is related to energy dissipation as an equality [T. Harada and S. Sasa, Phys. Rev. Lett., in press; cond-mat/0502505]. We provide a microscopic description of this equality by studying a non-equilibrium colloidal system on the basis of classical mechanics with some physical assumptions.