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Communications in Mathematical Sciences
Volume 15 (2017)
Number 4
Fluctuation-dissipation theorem consistent approximation of the Langevin dynamics model
Pages: 1171 – 1181
(Fast Communication)
DOI: https://dx.doi.org/10.4310/CMS.2017.v15.n4.a13
Authors
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.
Keywords
molecular dynamics, Langevin dynamics, fluctuation-dissipation theorem
2010 Mathematics Subject Classification
60G10, 65C30
Published 16 May 2017