Journal of Statistical Physics

, Volume 143, Issue 4, pp 715–724 | Cite as

The Langevin Limit of the Nosé-Hoover-Langevin Thermostat



In this note we study the asymptotic limit of large variance in a stochastically perturbed thermostat model, the Nosé-Hoover-Langevin device. We show that in this limit, the model reduces to a Langevin equation with one-dimensional Wiener process, and that the perturbation is in the direction of the conjugate momentum vector. Numerical experiments with a double well potential corroborate the asymptotic analysis.


Thermostat methods Nosé-Hoover dynamics Langevin dynamics Homogenization methods Canonical sampling 


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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Centrum Wiskunde & InformaticaAmsterdamThe Netherlands
  2. 2.School of Mathematics and StatisticsUniversity of SydneySydneyAustralia

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