Thermodynamic time asymmetry in nonequilibrium fluctuations

Abstract

We here present the complete analysis of experiments on driven Brownian motion and electric noise in a $RC$ circuit, showing that thermodynamic entropy production can be related to the breaking of time-reversal symmetry in the statistical description of these nonequilibrium systems. The symmetry breaking can be expressed in terms of dynamical entropies per unit time, one for the forward process and the other for the time-reversed process. These entropies per unit time characterize dynamical randomness, i.e., temporal disorder, in time series of the nonequilibrium fluctuations. Their difference gives the well-known thermodynamic entropy production, which thus finds its origin in the time asymmetry of dynamical randomness, alias temporal disorder, in systems driven out of equilibrium.

to be published in : Journal of Statistical Mechanics: theory and experiment

References in corpus (25)

• 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
• Fluctuation theorem for stochastic dynamics
• Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
• Dissipation: The phase-space perspective
• The Fluctuation Theorem as a Gibbs Property
• Fluctuation theorems for stochastic dynamics
• Determining Microscopic Viscoelasticity in Flexible and Semiflexible Polymer Networks from Thermal Fluctuations
• Rare events and the convergence of exponentially averaged work values
• An Extension of the Fluctuation Theorem
• Nonequilibrium fluctuations in a resistor
• Fluctuation theorem for currents and Schnakenberg network theory
• Entropy production and time asymmetry in nonequilibrium fluctuations
• Power and heat fluctuation theorems for electric circuits
• Work fluctuation theorems for harmonic oscillators
• A fluctuation theorem for currents and non-linear response coefficients
• Chaotic Scattering Theory of Transport and Reaction-Rate Coefficients
• Chaotic properties of systems with Markov dynamics
• Onsager-Machlup theory for nonequilibrium steady states and fluctuation theorems
• Hamiltonian dynamics, nanosystems, and nonequilibrium statistical mechanics
• Estimate of the free energy difference in mechanical systems from work fluctuations: experiments and models
• The Fractality of the Hydrodynamic Modes of Diffusion
• Transition records of stationary Markov chains

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• Quantitative analysis of non-equilibrium systems from short-time experimental data
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• Harvesting entropy and quantifying the transition from noise to chaos in a photon-counting feedback loop
• Modulated two-level system : Exact work statistics
• Non-invasive estimation of dissipation from non-equilibrium fluctuations in chemical reactions
• Energy versus information based estimations of dissipation using a pair of magnetic colloidal particles
• Random paths and current fluctuations in nonequilibrium statistical mechanics
• Crooks' fluctuation theorem for the fluctuating lattice-Boltzmann model
• Multidimensional measures of impulsively driven stochastic systems based on the Kullback-Leibler distance
• Irreversibility as divergence from equilibrium