Stochastic representation of deterministic interactions and Brownian motion
Statistical Mechanics
2007-05-23 v1
Abstract
Exact generalized stochastic representation of deterministic interaction between two dynamical (quantum or classical) systems is derived which helps when considering one of them to replace another by equivalent commutative (-number valued) random sources. The method is applied to classical Brownian motion of a particle in a gas, and statistics of this motion is reduced to statistics of the gas response to perturbations.
Cite
@article{arxiv.cond-mat/0404456,
title = {Stochastic representation of deterministic interactions and Brownian motion},
author = {Yuriy E. Kuzovlev},
journal= {arXiv preprint arXiv:cond-mat/0404456},
year = {2007}
}
Comments
6 pages, no figures, LaTex, RevTex4, submitted to PRE