Saar Rahav and Christopher Jarzynski J. Stat. Mech. (2007) P09012 doi:10.1088/1742-5468/2007/09/P09012
Saar Rahav1 and Christopher Jarzynski1,2
Show affiliationsWe consider the application of fluctuation relations to the dynamics of coarse-grained systems, as might arise in a hypothetical experiment in which a system is monitored with a low resolution measuring apparatus. We analyze a stochastic, Markovian jump process with a specific structure that lends itself naturally to coarse-graining. A perturbative analysis yields a reduced stochastic jump process that approximates the coarse-grained dynamics of the original system. This leads to a non-trivial fluctuation relation that is approximately satisfied by the coarse-grained dynamics. We illustrate our results by computing the large deviations of a particular stochastic jump process. Our results highlight the possibility that observed deviations from fluctuation relations might be due to the presence of unobserved degrees of freedom.
E-print Number: 0708.2437
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Refers: to
05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
05.10.Gg Stochastic analysis methods (Fokker-Planck, Langevin, etc.)
Issue 09 (September 2007)
Received 19 June 2007, accepted for publication 20 August 2007
Published 18 September 2007
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