Macroscopic Fluctuation Theory versus large-deviation-induced GENERIC

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.