学術雑誌論文 Langevin dynamics neglecting detailed balance condition.

Ohzeki, Masayuki  ,  Ichiki, Akihisa

92 ( 1 ) 2015-07-06 , American Physical Society
ISSN:1539-3755
NII書誌ID(NCID):AA11558033
内容記述
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.
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http://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/201539/1/PhysRevE.92.012105.pdf

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