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Ergodicity of the Nosé-Hoover method

Hiroshi Watanabe·Hiroto Kobayashi
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Abstract

Ergodicity of the systems with Nosé-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.

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Hiroshi Watanabe, Hiroto Kobayashi. 2006-07-28. Ergodicity of the Nosé-Hoover method. https://arxiv.org/abs/cond-mat/0607745

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