Dynamical fluctuations for periodically driven diffusions

Abstract

We study dynamical fluctuations in overdamped diffusion processes driven by time periodic forces. This is done by studying fluctuation functionals (rate functions from large deviation theory), of fluctuations around the non-equilibrium steady regime. We identify a concept called traffic. This traffic, which was introduced in the context of non-equilibrium steady state statistics, is extended here for time-dependent but periodic forces. We discuss the fluctuation functionals of occupations and currents, and work out some specific examples. The connection between these and non-equilibrium thermodynamic potentials, their corresponding variational principles and their Legendre transforms, are also discussed.

Explicit examples added

References in corpus (8)

• The large deviation approach to statistical mechanics
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• Canonical structure of dynamical fluctuations in mesoscopic nonequilibrium steady states
• Steady state statistics of driven diffusions
• Onsager-Machlup theory for nonequilibrium steady states and fluctuation theorems
• Large deviations of lattice Hamiltonian dynamics coupled to stochastic thermostats
• Onsager-Machlup theory and work fluctuation theorem for a harmonically driven Brownian particle
• Static and dynamical nonequilibrium fluctuations

Cited by in corpus (6)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Current fluctuations in periodically driven systems
• Periodically driven jump processes conditioned on large deviations
• Large Deviations for dynamical fluctuations of Open Markov processes, with application to random cascades on trees
• Level 2.5 large deviations for continuous time Markov chains with time periodic rates
• Statistical physics of long dynamical trajectories for a system in contact with several thermal reservoirs