Langevin dynamics neglecting detailed balance condition

Masayuki Ohzeki, Akihisa Ichiki

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

An improved method for driving a system into a desired distribution, for example, the Gibbs-Boltzmann distribution, is proposed, which makes use of an artificial relaxation process. The standard techniques for achieving the Gibbs-Boltzmann distribution involve numerical simulations under the detailed balance condition. In contrast, in the present study we formulate the Langevin dynamics, for which the corresponding Fokker-Planck operator includes an asymmetric component violating the detailed balance condition. This leads to shifts in the eigenvalues and results in the acceleration of the relaxation toward the steady state. The numerical implementation demonstrates faster convergence and shorter correlation time, and the technique of biased event sampling, Nemoto-Sasa theory, further highlights the efficacy of our method.

Original languageEnglish
Article number012105
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume92
Issue number1
DOIs
Publication statusPublished - 2015 Jul 6
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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