Fluctuation-dissipation theorem consistent approximation of the langevin dynamics model

Research output: Contribution to journalArticle

Abstract

We present a numerical method for solving the Langevin dynamics model. Rather than the trajectory-wise accuracy, we focus on the consistency to the equilibrium statistics at the discrete level. A discrete fluctuation-dissipation theorem is imposed to ensure that the statistical properties are preserved.

Original languageEnglish (US)
Pages (from-to)1171-1181
Number of pages11
JournalCommunications in Mathematical Sciences
Volume15
Issue number4
DOIs
StatePublished - Jan 1 2017

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Langevin Dynamics
Fluctuation-dissipation Theorem
Dynamic models
Numerical methods
Dynamic Model
Trajectories
Statistics
Approximation
Statistical property
Numerical Methods
Trajectory

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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title = "Fluctuation-dissipation theorem consistent approximation of the langevin dynamics model",
abstract = "We present a numerical method for solving the Langevin dynamics model. Rather than the trajectory-wise accuracy, we focus on the consistency to the equilibrium statistics at the discrete level. A discrete fluctuation-dissipation theorem is imposed to ensure that the statistical properties are preserved.",
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Fluctuation-dissipation theorem consistent approximation of the langevin dynamics model. / Ma, Lina; Li, Xiantao; Liu, Chun.

In: Communications in Mathematical Sciences, Vol. 15, No. 4, 01.01.2017, p. 1171-1181.

Research output: Contribution to journalArticle

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