Computation of the Kolmogorov-Sinai entropy using statistitical mechanics: Application of an exchange Monte Carlo methodS.-i. Sasa and K. Hayashi
Department of Pure and Applied Sciences, University of Tokyo Komaba, Tokyo 153-8902, Japan
received 5 September 2005; accepted in final form 14 February 2006
published online 8 March 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.
75.10.Nr - Spin-glass and other random models.
05.20.-y - Classical statistical mechanics.
05.45.Ac - Low-dimensional chaos.
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