A new path-integral framework for relativistic fluctuating hydrodynamics uses a covariant Crooks fluctuation theorem to impose KMS symmetry and derive fluctuation-dissipation relations, with criteria for causality and stability.
Fluctuating Relativistic hydrodynamics from Crooks theorem
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We use the Crooks fluctuation theorem together with Zubarev hydrodynamics to develop a bottom-up theory of hydrodynamic fluctuations. We also use thermodynamic uncertainity relations to estimate bottom-up limits to dissipative transport coefficients.
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Effective action for relativistic hydrodynamics from Crooks fluctuation theorem
A new path-integral framework for relativistic fluctuating hydrodynamics uses a covariant Crooks fluctuation theorem to impose KMS symmetry and derive fluctuation-dissipation relations, with criteria for causality and stability.