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arXiv · 2510.05389

Global non-equilibrium thermodynamics of stationary states applied to the Rayleigh-B\'enard convection

Robert Hołyst·Paweł Jan Żuk·Konrad Giżyński·Anna Maciołek·Jakub Wróbel·Peter Vaughan Elsmere McClintock
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Abstract

Classical thermodynamics describes physical systems in thermodynamic equilibrium, characterized in particular by the absence of macroscopic motion. Global non-equilibrium thermodynamics extends this framework to include physical systems in stationary states (Ho{\l}yst et al., EPL 149, 30001 (2025)). Here, we demonstrate that this extended theory captures macroscopic motion in stationary states, thereby providing a unified framework for global thermodynamics and fluid mechanics. We apply the theory to stationary Rayleigh-B\'enard convection and show how the second law of global non-equilibrium thermodynamics determines the direction of changes in fluid motion.

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Robert Hołyst, Paweł Jan Żuk, Konrad Giżyński, Anna Maciołek, Jakub Wróbel, Peter Vaughan Elsmere McClintock. 2025-10-06. Global non-equilibrium thermodynamics of stationary states applied to the Rayleigh-B\'enard convection. https://arxiv.org/abs/2510.05389

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