Fine-structured large deviations and the fluctuation theorem: Molecular motors and beyond
II. Institut für Theoretische Physik, Universität Stuttgart - 70550 Stuttgart, Germany
Received: 19 March 2014
Accepted: 23 June 2014
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.
PACS: 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.) / 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 87.16.Nn – Motor proteins (myosin, kinesin dynein)
© EPLA, 2014