Mathematical understanding of detailed balance condition violation and its application to Langevin dynamics

Masayuki Ohzeki, Akihisa Ichiki

Research output: Contribution to journalConference article

10 Citations (Scopus)

Abstract

We develop an efficient sampling method by simulating Langevin dynamics with an artificial force rather than a natural force by using the gradient of the potential energy. The standard technique for sampling following the predetermined distribution such as the Gibbs- Boltzmann one is performed under the detailed balance condition. In the present study, we propose a modified Langevin dynamics violating the detailed balance condition on the transition- probability formulation. We confirm that the numerical implementation of the proposed method actually demonstrates two major beneficial improvements: acceleration of the relaxation to the predetermined distribution and reduction of the correlation time between two different realizations in the steady state.

Original languageEnglish
Article number012003
JournalJournal of Physics: Conference Series
Volume638
Issue number1
DOIs
Publication statusPublished - 2015 Sep 3
Externally publishedYes
Event8th International Conferences on Statistical Physics, Statphys-Kolkata 2014 - Kolkata, India
Duration: 2014 Dec 12014 Dec 5

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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