Test of the fluctuation theorem for stochastic entropy production in a nonequilibrium steady state

Abstract

We derive a simple closed analytical expression for the total entropy production along a single stochastic trajectory of a Brownian particle diffusing on a periodic potential under an external constant force. By numerical simulations we compute the probability distribution functions of the entropy and satisfactorily test many of the predictions based on Seifert's integral fluctuation theorem. The results presented for this simple model clearly illustrate the practical features and implications derived from such a result of nonequilibrium statistical mechanics.

Accepted in Phys. Rev. E

References in corpus (8)

• Entropy production along a stochastic trajectory and an integral fluctuation theorem
• Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
• Thermodynamics of a Colloidal Particle in a Time-Dependent Non-Harmonic Potential
• An Extension of the Fluctuation Theorem
• Restoring a fluctuation-dissipation theorem in a nonequilibrium steady state
• Integral fluctuation theorem for the housekeeping heat
• Measurement of Stochastic Entropy Production
• Heat Fluctuations in Brownian Transducers

Cited by in corpus (9)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Statistics of Infima and Stopping Times of Entropy Production and Applications to Active Molecular Processes
• Distribution of Entropy Production for a Colloidal Particle in a Nonequilibrium Steady State
• Integral Fluctuation Relations for Entropy Production at Stopping Times
• Fluctuations of the total entropy production in stochastic systems
• Fluctuation Properties of Steady-State Langevin Systems
• Total entropy production fluctuation theorems in a nonequilibrium time-periodic steady state
• Stochastic thermodynamics of a confined colloidal suspension under shear flow
• Upper bound for the average entropy production based on stochastic entropy extrema