Large deviation function and fluctuation theorem for classical particle transport

Upendra Harbola; Christian Van den Broeck; Katja Lindenberg

doi:10.1103/physreve.89.012141

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arXiv · 1308.0082

Large deviation function and fluctuation theorem for classical particle transport

Upendra Harbola·Christian Van den Broeck·Katja Lindenberg

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Abstract

We analytically evaluate the large deviation function in a simple model of classical particle transfer between two reservoirs. We illustrate how the asymptotic large time regime is reached starting from a special propagating initial condition. We show that the steady state fluctuation theorem holds provided that the distribution of the particle number decays faster than an exponential, implying analyticity of the generating function and a discrete spectrum for its evolution operator.

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Upendra Harbola, Christian Van den Broeck, Katja Lindenberg. 2013-08-01. Large deviation function and fluctuation theorem for classical particle transport. https://doi.org/10.1103/physreve.89.012141

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