Classical and Multiscale Non-equilibrium Thermodynamics

Miroslav Grmela; Michal Pavelka

doi:10.48550/arxiv.2510.00610

October 1, 2025Open Access

Classical and Multiscale Non-equilibrium Thermodynamics

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Key Points

The multiscale viewpoint helps advance classical non-equilibrium thermodynamics, focusing on time evolution.
Differences between classical and multiscale thermodynamics highlight their unique histories and objectives.
The study illustrates the application of the Braun-Le Chatelier principle in dissipative thermodynamics.
Multiscale approaches offer insights into mesoscopic and macroscopic behavior in thermodynamic systems.

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Implication

This Note reviews non-equilibrium thermodynamics, highlighting multiscale perspectives in dissipative systems.

Abstract

Classical and multiscale non-equilibrium thermodynamics have different histories and different objectives. In this Note we explain the differences and review some topics in which the multiscale viewpoint of mesoscopic time evolution of macroscopic systems helped to advance the classical non-equilibrium thermodynamics. Eventually, we illustrate the Braun-Le Chatelier principle in dissipative thermodynamics.

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Grmela et al. (2025) studied this question.

synapsesocial.com/papers/68e25378d6d66a53c2474106 https://doi.org/10.48550/arxiv.2510.00610

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Classical and Multiscale Non-equilibrium Thermodynamics

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Classical and Multiscale Non-equilibrium Thermodynamics

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