Fine-structured large deviations and the fluctuation theorem: Molecular motors and beyond

Abstract

By considering subexponential contributions in large deviation theory, we determine the fine structure in the probability distribution of the observable displacement of a bead coupled to a molecular motor. More generally, for any stochastic motion along a periodic substrate, this approach reveals a discrete symmetry of this distribution for which hidden degrees of freedom lead to a periodic modulation of the slope typically associated with the fluctuation theorem. Contrary to previous interpretations of experimental data, the mean force exerted by a molecular motor is unrelated to the long-time asymptotics of this slope and must rather be extracted from its short-time limit.

6 pages, 5 figures

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• Conditional entropy and Landauer principle
• Fluctuation theorem for entropy production of a partial system in the weak coupling limit
• Partial entropy production in heat transport
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• Limits on the Precision of Catenane Molecular Motors: Insights from Thermodynamics and Molecular Dynamics Simulations
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