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.
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Frank, J., Gottwald, G.A. The Langevin Limit of the Nosé-Hoover-Langevin Thermostat. J Stat Phys 143, 715–724 (2011). https://doi.org/10.1007/s10955-011-0203-1
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DOI: https://doi.org/10.1007/s10955-011-0203-1