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arXiv · 1003.2106

Application of importance sampling to the computation of large deviations in non-equilibrium processes

Anupam Kundu·Sanjib Sabhapandit·Abhishek Dhar
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Abstract

We present an algorithm for finding the probabilities of rare events in nonequilibrium processes. The algorithm consists of evolving the system with a modified dynamics for which the required event occurs more frequently. By keeping track of the relative weight of phase-space trajectories generated by the modified and the original dynamics one can obtain the required probabilities. The algorithm is tested on two model systems of steady-state particle and heat transport where we find a huge improvement from direct simulation methods.

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Anupam Kundu, Sanjib Sabhapandit, Abhishek Dhar. 2010-03-10. Application of importance sampling to the computation of large deviations in non-equilibrium processes. https://doi.org/10.1103/physreve.83.031119

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