Relaxation of finite perturbations: Beyond the Fluctuation-Response relation

Abstract

We study the response of dynamical systems to finite amplitude perturbation. A generalized Fluctuation-Response relation is derived, which links the average relaxation toward equilibrium to the invariant measure of the system and points out the relevance of the amplitude of the initial perturbation. Numerical computations on systems with many characteristic times show the relevance of the above relation in realistic cases.

arXiv comment7 pages, 5 figures

References in corpus (3)

• Macroscopic fluctuation theory for stationary non equilibrium states
• Fluctuation-Dissipation theorems and entropy production in relaxational systems
• Fluctuation-response relation in turbulent systems

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