Geometrical structures of the instantaneous current and their macroscopic effects: vortices and perspectives in non-gradient models

Leonardo De Carlo

doi:10.1007/978-3-030-69784-6_9

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arXiv · 2004.01548

Geometrical structures of the instantaneous current and their macroscopic effects: vortices and perspectives in non-gradient models

Leonardo De Carlo

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Abstract

First we discuss the definition of the instantaneous current in interacting particle systems, in particular in mass-energy systems and we point out its role in the derivation of the hydrodynamics. Later we present some geometrical structures of the instantaneous current when the rates satisfy a common symmetry. These structures give some new ideas in non-gradient models and show new phenomenology in diffusive interacting particle systems. Specifically, we introduce models with vorticity and present some new perspectives on the link between the Green-Kubo's formula and the hydrodynamics of non-gradient models.

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Leonardo De Carlo. 2020-04-01. Geometrical structures of the instantaneous current and their macroscopic effects: vortices and perspectives in non-gradient models. https://doi.org/10.1007/978-3-030-69784-6_9

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