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Fluctuation-dissipation relationship in chaotic dynamics

Bidhan Chandra Bag·Deb Shankar Ray
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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.

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Bidhan Chandra Bag, Deb Shankar Ray. 2000-04-18. Fluctuation-dissipation relationship in chaotic dynamics. https://doi.org/10.1103/physreve.62.1927

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