The Langevin limit of the Nosé-Hoover-Langevin thermostat

Authors
  • J. Frank
  • G.A. Gottwald
Publication date 2011
Journal Journal of Statistical Physics
Volume | Issue number 143 | 4
Pages (from-to) 715-724
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract 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.
Document type Article
Language English
Published at
https://doi.org/10.1007/s10955-011-0203-1 (Final published version)
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