Relaxation of finite perturbations: Beyond the fluctuation-response relation
- 1 September 2003
- journal article
- Published by AIP Publishing in Chaos: An Interdisciplinary Journal of Nonlinear Science
- Vol. 13 (3) , 806-811
- https://doi.org/10.1063/1.1579643
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-mentioned relation in realistic cases.Keywords
All Related Versions
This publication has 16 references indexed in Scilit:
- Macroscopic Fluctuation Theory for Stationary Non-Equilibrium StatesJournal of Statistical Physics, 2002
- Fluctuation-response relation in turbulent systemsPhysical Review E, 2001
- Onsager Symmetry from Microscopic TP InvarianceJournal of Statistical Physics, 1999
- Fluctuation-Dissipation Theorems and Entropy Production in Relaxational SystemsPhysical Review Letters, 1997
- The relevance of chaos for the linear response theoryPhysica A: Statistical Mechanics and its Applications, 1995
- Correlation functions and relaxation properties in chaotic dynamics and statistical mechanicsPhysics Letters A, 1990
- Brownian Motion and Nonequilibrium Statistical MechanicsScience, 1986
- Fully developed turbulence and statistical mechanicsJournal de Physique, 1978
- Climate Response and Fluctuation DissipationJournal of the Atmospheric Sciences, 1975
- Classical Fluctuation-Relaxation TheoremPhysical Review B, 1959