Asymptotics of work distributions: The pre-exponential factor

Details Asymptotics of work distributions: The pre-exponential factor Asymptotics of work distributions: The pre-exponential factor

2011-02-22

arxiv.org/abs/1102.4505v1

Eur. Phys. J. B 82, 207-218 (2011)

Physics

Condensed Matter

Statistical Mechanics

12 pages, 12 figures

Scientific paper

10.1140/epjb/e2011-20133-y

We determine the complete asymptotic behaviour of the work distribution in driven stochastic systems described by Langevin equations. Special emphasis is put on the calculation of the pre-exponential factor which makes the result free of adjustable parameters. The method is applied to various examples and excellent agreement with numerical simulations is demonstrated. For the special case of parabolic potentials with time-dependent frequencies, we derive a universal functional form for the asymptotic work distribution.

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