Total entropy production fluctuation theorems in a nonequilibrium time-periodic steady state
arXiv:0811.0795 · doi:10.1140/epjb/e2009-00017-7
Abstract
We investigate the total entropy production of a Brownian particle in a driven bistable system. This system exhibits the phenomenon of stochastic resonance. We show that in the time-periodic steady state, the probability density function for the total entropy production satisfies Seifert's integral and detailed fluctuation theorems over finite time trajectories.
6 pages, 7 figures
References in corpus (38)
- A nonequilibrium equality for free energy differences
- The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
- Dynamical Ensembles in Nonequilibrium Statistical Mechanics
- Entropy production along a stochastic trajectory and an integral fluctuation theorem
- A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
- Equilibrium free energy differences from nonequilibrium measurements: a master equation approach
- Fluctuation theorem for stochastic dynamics
- Path ensembles averages in systems driven far-from-equilibrium
- Dynamical ensembles in stationary states
- The Nonequilibrium Thermodynamics of Small Systems
- Stochastic thermodynamics: Principles and perspectives
- Single-molecule experiments in biological physics: methods and applications
- Fluctuation theorems for stochastic dynamics
- Thermodynamics of a Colloidal Particle in a Time-Dependent Non-Harmonic Potential
- Stationary and Transient Work-Fluctuation Theorems for a Dragged Brownian Particle
- An experimental test of the Jarzynski equality in a mechanical experiment
- Extended Heat-Fluctuation Theorems for a System with Deterministic and Stochastic Forces
- Power and heat fluctuation theorems for electric circuits
- Work fluctuation theorems for harmonic oscillators
- Complementarity relation for irreversible process derived from stochastic energetics
- Measurement of Stochastic Entropy Production
- Non-equilibrium work relations
- Distribution of Entropy Production for a Colloidal Particle in a Nonequilibrium Steady State
- Fluctuation relations for a driven Brownian particle
- Reexamination of experimental tests of the fluctuation theorem
- Experimental evidence of non-Gaussian fluctuations near a critical point
- Work and dissipation fluctuations near the stochastic resonance of a colloidal particle
- Entropy production for mechanically or chemically driven biomolecules
- Probability density functions of work and heat near the stochastic resonance of a colloidal particle
- Nonequilibrium Work distributions for a trapped Brownian particle in a time dependent magnetic field
- Some stochastic phenomena in a driven double-well system
- Fluctuations of the total entropy production in stochastic systems
- Work Fluctuations and Stochastic Resonance
- Stochastic resonance and heat fluctuations in a driven double-well system
- Two-Well System under Large Amplitude Periodic Forcing: Stochastic Synchronization, Stochastic Resonance and Stability
- Test of the fluctuation theorem for stochastic entropy production in a nonequilibrium steady state
- Relation between Stochastic Resonance and Synchronization of Passages in a Double-Well System
- Entropy production, energy loss and currents in adiabatically rocked thermal ratchets
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- Stochastic thermodynamics, fluctuation theorems, and molecular machines
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- Charged Brownian Particles: Kramers and Smoluchowski Equations and the Hydrothermodynamical Picture
- The Measure-theoretic Identity Underlying Transient Fluctuation Theorems
- Macrospin in external magnetic field: Entropy production and fluctuation theorems
- Rotational diffusion under torque: Microscopic reversibility and excess entropy