# Variational structures beyond gradient flows: a macroscopic fluctuation-theory perspective

@inproceedings{Patterson2021VariationalSB, title={Variational structures beyond gradient flows: a macroscopic fluctuation-theory perspective}, author={Robert I. A. Patterson and D. R. Michiel Renger and Upanshu Sharma}, year={2021} }

Macroscopic equations arising out of stochastic particle systems in detailed balance (called dissipative systems or gradient flows) have a natural variational structure, which can be derived from the large-deviation rate functional for the density of the particle system. While large deviations can be studied in considerable generality, these variational structures are often restricted to systems in detailed balance. Using insights from macroscopic fluctuation theory, in this work we aim to…

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