Fluctuations of the total entropy production in stochastic systems

Abstract

Fluctuations of the excess heat in an out of equilibrium steady state are experimentally investigated in two stochastic systems : an electric circuit with an imposed mean current and a harmonic oscillator driven out of equilibrium by a periodic torque. In these two linear systems, we study excess heat that represents the difference between the dissipated heat out of equilibrium and the dissipated heat at equilibrium. Fluctuation theorem holds for the excess heat in the two experimental systems for all observation times and for all fluctuation magnitudes.

arXiv comment6 p

References in corpus (28)

• A nonequilibrium equality for free energy differences
• The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
• Entropy production along a stochastic trajectory and an integral fluctuation theorem
• A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
• Fluctuation theorem for stochastic dynamics
• Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
• Dynamical ensembles in stationary states
• Steady State Thermodynamics of Langevin Systems
• Fluctuation theorems for stochastic dynamics
• Thermodynamics of a Colloidal Particle in a Time-Dependent Non-Harmonic Potential
• An Extension of the Fluctuation Theorem
• Nonequilibrium fluctuations in a resistor
• Stationary and Transient Work-Fluctuation Theorems for a Dragged Brownian Particle
• Integral fluctuation theorem for the housekeeping heat
• Entropy production and time asymmetry in nonequilibrium fluctuations
• 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
• Injected Power Fluctuations in Langevin Equation
• Measurement of Stochastic Entropy Production
• A two-state kinetic model for the unfolding of single molecules by mechanical force
• Distribution of Entropy Production for a Colloidal Particle in a Nonequilibrium Steady State
• On the Application of the Gallavotti-Cohen Fluctuation Relation to Thermostatted Steady States Near Equilibrium
• Power fluctuations in stochastic models of dissipative systems
• Fluctuation theorem for the effusion of an ideal gas
• Work distribution and path integrals in general mean-field systems
• Test of the fluctuation theorem for stochastic entropy production in a nonequilibrium steady state
• Variational Bounds for the Generalized Random Energy Model

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• Counting statistics and microreversibility in stochastic models of transistors
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• Total entropy production fluctuation theorems in a nonequilibrium time-periodic steady state
• Fluctuations of Entropy Production in Partially Masked Electric Circuits: Theoretical Analysis
• Thermodynamic constraints on the nonequilibrium response of one-dimensional diffusions
• Characterizing steady state and transient properties of reaction-diffusion systems
• Extracting work from a single reservoir in the non-Markovian underdamped regime
• Exact distribution for work and stochastic efficiency of an isothermal machine
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