Geometrical interpretation of fluctuating hydrodynamics in diffusive systems

Robert L. Jack, Johannes Zimmer

Research output: Contribution to journalArticle

8 Citations (Scopus)
55 Downloads (Pure)

Abstract

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
Volume47
Issue number48
DOIs
Publication statusPublished - 5 Dec 2014

Fingerprint

Fluctuating Hydrodynamics
Hydrodynamics
hydrodynamics
Mesoscopic Systems
formulations
Hydrodynamic Limit
Steepest Descent
Formulation
Dissipative Systems
Density Profile
descent
saddle points
Saddlepoint
Probable
Free energy
Free Energy
free energy
Path
Geometry
profiles

Cite this

Geometrical interpretation of fluctuating hydrodynamics in diffusive systems. / Jack, Robert L.; Zimmer, Johannes.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 47, No. 48, 485001, 05.12.2014.

Research output: Contribution to journalArticle

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