Repository: Freie Universität Berlin, Math Department

Path probability ratios for Langevin dynamics—Exact and approximate

Kieninger, S. and Keller, B. (2021) Path probability ratios for Langevin dynamics—Exact and approximate. The Journal of Chemical Physics, 154 . pp. 1-21.

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Path reweighting is a principally exact method to estimate dynamic properties from biased simulations—provided that the path probability ratio matches the stochastic integrator used in the simulation. Previously reported path probability ratios match the Euler–Maruyama scheme for overdamped Langevin dynamics. Since molecular dynamics simulations use Langevin dynamics rather than overdamped Langevin dynamics, this severely impedes the application of path reweighting methods. Here, we derive the path probability ratio ML for Langevin dynamics propagated by a variant of the Langevin Leapfrog integrator. This new path probability ratio allows for exact reweighting of Langevin dynamics propagated by this integrator. We also show that a previously derived approximate path probability ratioMapprox differs from the exactML only by O(ξ4Δt4) and thus yields highly accurate dynamic reweighting results. (Δt is the integration time step, and ξ is the collision rate.) The results are tested, and the efficiency of path reweighting is explored using butane as an example.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:2504
Deposited By: Monika Drueck
Deposited On:02 Mar 2021 14:39
Last Modified:02 Mar 2021 14:39

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