Entropy production as correlation between system and reservoir

2009/08/07 by Massimiliano Esposito, Katja Lindenberg, Christian Van den Broeck · 23 citations
Neuroscience · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Entropy (arrow of time) #Entropy production #Neural dynamics and brain function #Physics #Quantum #Quantum mechanics #Statistical physics #cond-mat.stat-mech #stochastic dynamics and bifurcation

paper · pdf · doi:10.1088/1367-2630/12/1/013013

published as New J. Phys. 12, 013013 (2010) · 1 figure, 4 pages

arxiv created 2009/08/07 · openalex publication_date 2010/01/15 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We derive an exact (classical and quantum) expression for the entropy production of a finite system placed in contact with one or several finite reservoirs, each of which is initially described by a canonical equilibrium distribution. Although the total entropy of system plus reservoirs is conserved, we show that system entropy production is always positive and is a direct measure of system–reservoir correlations and/or entanglements. Using an exactly solvable quantum model, we illustrate our novel interpretation of the Second Law in a microscopically reversible finite-size setting, with strong coupling between the system and the reservoirs. With this model, we also explicitly show the approach of our exact formulation to the standard description of irreversibility in the limit of a large reservoir.

Citations

• Dissipation: The Phase-Space Perspective
• Dynamical Ensembles in Nonequilibrium Statistical Mechanics

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