Work

Comparison of some geometric frameworks for dissipative evolution in multiscale non-equilibrium thermodynamics

Year: 2026

Type: article

Abstract: In this paper, we review and compare some geometric frameworks for dissipation in non-equilibrium thermodynamics. We start with a brief overview of classical irreversible thermodynamics and gradient dynamics. Then we discuss several specific frameworks including Rayleigh dissipation potential and the dissipative d’Alembert framework, showing their relations with gradient dynamics. Finally, we discuss frameworks for dissipative evolution generated from Poisson brackets.

Source: Journal of Non-Equilibrium Thermodynamics

DOI: 10.1515/jnet-2025-0174

Authors: Miroslav Grmela, Michal Pavelka

Institutions: Polytechnique Montréal, Charles University

Language: English

Topic: Advanced Thermodynamics and Statistical Mechanics

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Grantová Agentura České Republiky

Award: Geometric multiscale thermodynamics of complex fluids