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

II. Institut für Theoretische Physik, Universität Stuttgart - 70550 Stuttgart, Germany

^(a) useifert@theo2.physik.uni-stuttgart.de

Received: 19 March 2014
Accepted: 23 June 2014

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.