Ergodicity of the Nos\'e-Hoover method
Statistical Mechanics
2007-05-23 v1
Abstract
Ergodicity of the systems with Nos\'e-Hoover thermostat are studied. The dynamics of the heatbath variables are investigated and they can be periodic when the system has quick oscillation. The periodic behaviour of them causes the system to lose its ergodicity. The kinetic-moments method is also studied, and the heatbath variables in this method are found to be chaotic. The chaotic behaviour makes the whole system ergodic.
Cite
@article{arxiv.cond-mat/0607745,
title = {Ergodicity of the Nos\'e-Hoover method},
author = {Hiroshi Watanabe and Hiroto Kobayashi},
journal= {arXiv preprint arXiv:cond-mat/0607745},
year = {2007}
}
Comments
6 pages, 6 figures, Symposium on Progress and Future Prospects in Molecular Dynamics Simulation -In Memory of Professor Shuichi Nos\'e -