Entropy production along a stochastic trajectory and an integral fluctuation theorem

Details Entropy production along a stochastic trajectory and an integral fluctuation theorem Entropy production along a stochastic trajectory and an integral fluctuation theorem

2005-03-29

arxiv.org/abs/cond-mat/0503686v1

Phys Rev Lett, 95, 040602, 2005

Physics

Condensed Matter

Statistical Mechanics

4 pages, RevTex

Scientific paper

10.1103/PhysRevLett.95.040602

For stochastic non-equilibrium dynamics like a Langevin equation for a colloidal particle or a master equation for discrete states, entropy production along a single trajectory is studied. It involves both genuine particle entropy and entropy production in the surrounding medium. The integrated sum of both $\Delta s\t$is shown to obey a fluctuation theorem $<\exp[-\Delta s\t]> =1$ for arbitrary initial conditions and arbitrary time-dependent driving over a finite time interval.

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