TY - JOUR
T1 - Computation of the Kolmogorov-Sinai entropy using statistitical mechanics
T2 - Application of an exchange Monte Carlo method
AU - Sasa, S. I.
AU - Hayashi, K.
N1 - Copyright:
Copyright 2006 Elsevier B.V., All rights reserved.
PY - 2006/4/1
Y1 - 2006/4/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=33645677396&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33645677396&partnerID=8YFLogxK
U2 - 10.1209/epl/i2005-10515-2
DO - 10.1209/epl/i2005-10515-2
M3 - Article
AN - SCOPUS:33645677396
VL - 74
SP - 156
EP - 162
JO - EPL
JF - EPL
SN - 0295-5075
IS - 1
ER -