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Finite-time and finite-size scalings in the evaluation of large deviation functions: Analytical study using a birth-death process

Abstract : The Giardinà-Kurchan-Peliti algorithm is a numerical procedure that uses population dynamics in order to calculate large deviation functions associated to the distribution of time-averaged observables. To study the numerical errors of this algorithm, we explicitly devise a stochastic birth-death process that describes the time evolution of the population probability. From this formulation, we derive that systematic errors of the algorithm decrease proportionally to the inverse of the population size. Based on this observation, we propose a simple interpolation technique for the better estimation of large deviation functions. The approach we present is detailed explicitly in a two-state model.
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https://hal.archives-ouvertes.fr/hal-01490985
Contributor : Serena Benassù <>
Submitted on : Thursday, March 16, 2017 - 11:21:19 AM
Last modification on : Friday, April 10, 2020 - 5:08:54 PM

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  • HAL Id : hal-01490985, version 1

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Takahiro Nemoto, Esteban Guevara Hidalgo, Vivien Lecomte. Finite-time and finite-size scalings in the evaluation of large deviation functions: Analytical study using a birth-death process . Physical Review E , American Physical Society (APS), 2017, 95, pp.012102. ⟨hal-01490985⟩

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