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Macroscopic Fluctuation Theory versus large-deviation-induced GENERIC

Published 6 Feb 2024 in math-ph, cond-mat.stat-mech, and math.MP | (2402.04092v1)

Abstract: Recent developments in Macroscopic Fluctuation Theory show that many interacting particle systems behave macroscopically as a combination of a gradient flow with Hamiltonian dynamics. This observation leads to the natural question how these structures compare to the GENERIC framework. This paper serves as a brief survey of both fields and a comparison between them, including a number of example models to which the comparison results are applied.

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