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arXiv · 1907.08480

Microscopic reweighting for non-equilibrium steady states dynamics

Marius Bause·Timon Wittenstein·Kurt Kremer·Tristan Bereau
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Abstract

Computer simulations generate trajectories at a single, well-defined thermodynamic state point. Statistical reweighting offers the means to reweight static and dynamical properties to different equilibrium state points by means of analytic relations. We extend these ideas to non-equilibrium steady states by relying on a maximum path entropy formalism subject to physical constraints. Stochastic thermodynamics analytically relates the forward and backward probabilities of any pathway through the external non-conservative force, enabling reweighting both in and out of equilibrium. We avoid the combinatorial explosion of microtrajectories by systematically constructing pathways through Markovian transitions. We further identify a quantity that is invariant to dynamical reweighting, analogous to the density of states in equilibrium reweighting.

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Marius Bause, Timon Wittenstein, Kurt Kremer, Tristan Bereau. 2019-07-19. Microscopic reweighting for non-equilibrium steady states dynamics. https://doi.org/10.1103/physreve.100.060103

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