Fluctuation-dissipation relationship in chaotic dynamics
Chaotic Dynamics
2009-10-31 v1 Statistical Mechanics
Abstract
We consider a general N-degree-of-freedom dissipative system which admits of chaotic behaviour. Based on a Fokker-Planck description associated with the dynamics we establish that the drift and the diffusion coefficients can be related through a set of stochastic parameters which characterize the steady state of the dynamical system in a way similar to fluctuation-dissipation relation in non-equilibrium statistical mechanics. The proposed relationship is verified by numerical experiments on a driven double well system.
Cite
@article{arxiv.nlin/0004030,
title = {Fluctuation-dissipation relationship in chaotic dynamics},
author = {Bidhan Chandra Bag and Deb Shankar Ray},
journal= {arXiv preprint arXiv:nlin/0004030},
year = {2009}
}
Comments
Revtex, 23 pages, 2 figures