Fluctuation-dissipation relationship in chaotic dynamics

Details Fluctuation-dissipation relationship in chaotic dynamics Fluctuation-dissipation relationship in chaotic dynamics

2000-04-18

arxiv.org/abs/nlin/0004030v1

Phys. Rev. E 62 (2000) 1927

Nonlinear Sciences

Chaotic Dynamics

Revtex, 23 pages, 2 figures

Scientific paper

10.1103/PhysRevE.62.1927

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.

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