| Issue |
Europhys. Lett.
Volume 74, Number 1, April 2006
|
|
|---|---|---|
| Page(s) | 156 - 162 | |
| Section | Condensed matter: electronic structure, electrical, magnetic, and optical properties | |
| DOI | https://doi.org/10.1209/epl/i2005-10515-2 | |
| 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
Corresponding authors: sasa@jiro.c.u-tokyo.ac.jp hayashi@jiro.c.u-tokyo.ac.jp
Received:
5
September
2005
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.