Classical Loschmidt echo in chaotic many-body systems

Details Classical Loschmidt echo in chaotic many-body systems Classical Loschmidt echo in chaotic many-body systems

2005-03-21

arxiv.org/abs/nlin/0503043v1

Nonlinear Sciences

Chaotic Dynamics

4 RevTeX pages, 4 figures

Scientific paper

10.1103/PhysRevE.72.025202

General theoretic approach to classical Loschmidt echoes in chaotic systems with many degrees of freedom is developed. For perturbations which affect essentially all degrees of freedom we find a doubly exponential decay with the rate determined by the largest Lyapunov exponent. The scaling of the decay rate on the perturbation strength depends on whether the initial phase-space density is continuous or not.

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