Issue
Europhys. Lett.
Volume 74, Number 1, April 2006
Page(s) 156 - 162
Section Condensed matter: electronic structure, electrical, magnetic, and optical properties
DOI http://dx.doi.org/10.1209/epl/i2005-10515-2
Published online 08 March 2006
Europhys. Lett., 74 (1), pp. 156-162 (2006)
DOI: 10.1209/epl/i2005-10515-2

Computation of the Kolmogorov-Sinai entropy using statistitical mechanics: Application of an exchange Monte Carlo method

S.-i. Sasa and K. Hayashi

Department of Pure and Applied Sciences, University of Tokyo Komaba, Tokyo 153-8902, Japan

sasa@jiro.c.u-tokyo.ac.jp
hayashi@jiro.c.u-tokyo.ac.jp

received 5 September 2005; accepted in final form 14 February 2006
published online 8 March 2006

Abstract
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