Volume 74, Number 1, April 2006
|Page(s)||156 - 162|
|Section||Condensed matter: electronic structure, electrical, magnetic, and optical properties|
|Published online||08 March 2006|
Computation of the Kolmogorov-Sinai entropy using statistitical mechanics: Application of an exchange Monte Carlo method
Department of Pure and Applied Sciences, University of Tokyo Komaba, Tokyo 153-8902, Japan
Accepted: 14 February 2006
We propose a method for computing the Kolmogorov-Sinai (KS) entropy of chaotic systems. In this method, the KS entropy is expressed as a statistical average over the canonical ensemble for a Hamiltonian with many ground states. This Hamiltonian is constructed directly from an evolution equation that exhibits chaotic dynamics. As an example, we compute the KS entropy for a chaotic repeller by evaluating the thermodynamic entropy of a system with many ground states.
PACS: 75.10.Nr – Spin-glass and other random models / 05.20.-y – Classical statistical mechanics / 05.45.Ac – Low-dimensional chaos
© EDP Sciences, 2006
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