Nonequilibrium Stationary Process and Fluctuation-Dissipation Relations
Statistical Mechanics
2021-06-28 v1 Mathematical Physics
math.MP
Abstract
A stochastic dynamics has a natural decomposition into a drift capturing mean rate of change and a martingale increment capturing randomness. They are two statistically uncorrelated, but not necessarily independent mechanisms contributing to the overall fluctuations of the dynamics, representing the uncertainties in the past and in the future. A generalized Einstein relation is a consequence solely because the dynamics being stationary; and the Green-Kubo formula reflects a balance between the two mechanisms. Equilibrium with reversibility is characterized by a novel covariance symmetry.
Cite
@article{arxiv.2106.13374,
title = {Nonequilibrium Stationary Process and Fluctuation-Dissipation Relations},
author = {Ying-Jen Yang and Hong Qian},
journal= {arXiv preprint arXiv:2106.13374},
year = {2021}
}