Journal
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Volume -, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1742-5468/2011/05/P05011
Keywords
molecular motors (theory); current fluctuations; large deviations in non-equilibrium systems; Brownian motion
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Funding
- National Nuclear Security Administration of the US Department of Energy [DE-AC52-06NA25396]
- National Science Foundation [CHE-0808910, ECCS-0925618]
- Direct For Mathematical & Physical Scien
- Division Of Chemistry [0808910] Funding Source: National Science Foundation
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We consider stochastic motion of a particle on a cyclic graph with arbitrarily periodic time-dependent kinetic rates. We demonstrate duality relations for statistics of currents in this model and in its continuous version of a diffusion in one dimension. Our duality relations are valid beyond detailed balance constraints and lead to exact expressions that relate statistics of currents induced by dual driving protocols. We also show that previously known no-pumping theorems and some of the fluctuation relations, when they are applied to cyclic graphs or to one-dimensional diffusion, are special consequences of our duality.
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