Geometrical interpretation of fluctuating hydrodynamics in diffusive systems

Robert L. Jack, Johannes Zimmer

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We discuss geometric formulations of hydrodynamic limits in diffusive systems. Specifically, we describe a geometrical construction in the space of density profiles - the Wasserstein geometry - which allows the deterministic hydrodynamic evolution of the systems to be related to the steepest descent of the free energy, and show how this formulation can be related to most probable paths of mesoscopic dissipative systems. The geometric viewpoint is also linked to fluctuating hydrodynamics of these systems via a saddle point argument.

Original languageEnglish
Article number485001
JournalJournal of Physics A: Mathematical and Theoretical
Issue number48
Publication statusPublished - 5 Dec 2014


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