Entropy production in systems with random transition rates

Abstract

We study the entropy production of a system with a finite number of states connected by random transition rates. The stationary entropy production, driven out of equilibrium both by asymmetric transition rates and by an external probability current, is shown to be composed of two contributions whose exact distributions are calculated in the large system size and close to equilibrium. The first contribution is related to Joule's law for the heat dissipated in a classical electrical circuit whereas the second one has a Gaussian distribution with an extensive average and a finite variance.

arXiv comment5 pages, 3 figures. Supplementary Material: 8 pages

References in corpus (16)

• Emergence of scaling in random networks
• The structure and function of complex networks
• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Entropy production along a stochastic trajectory and an integral fluctuation theorem
• A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
• Stability Criteria for Complex Ecosystems
• The Nonequilibrium Thermodynamics of Small Systems
• Information theory explanation of the fluctuation theorem, maximum entropy production and self-organized criticality in non-equilibrium stationary states
• Fluctuation theorems for stochastic dynamics
• On the (Boltzmann) Entropy of Nonequilibrium Systems
• Fluctuation theorem for currents and Schnakenberg network theory
• Probability currents as principal characteristics in the statistical mechanics of non-equilibrium steady states
• Generic Properties of Stochastic Entropy Production
• A possible classification of nonequilibrium steady states
• Entropy production in nonequilibrium thermodynamics: a review
• On entropy production in nonequilibrium systems

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• Multiparty Spohn's theorem for a combination of local Markovian and non-Markovian quantum dynamics
• Dissipation-driven selection in non-equilibrium chemical networks
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