Microscopic origin of hydrodynamic equations: Derivation and consequences
type: Item
instance of: scholarly article
title: Microscopic origin of hydrodynamic equations: Derivation and consequences
zbMATH Open document ID: 0666.76009
DOI: 10.1016/0378-4371(86)90227-X
published in: Physica A
publication date: 1986-01-01T00:00:00Z
review text: We describe some recent progress in deriving autonomous hydrodynamic type equations for macroscopic variables from model stochastic microscopic dynamics of particles on a lattice. The derivations also yield the microscopic fluctuations about the deterministic macroscopic evolution. These grow, with time, to become infinite when the deterministic solution is unstable. A form of microscopic pattern selection is also found.
Mathematics Subject Classification ID: 76A02
Mathematics Subject Classification ID: 82D15
zbMATH DE Number: 4090982
zbMATH Keywords: autonomous hydrodynamic type equations
zbMATH Keywords: macroscopic variables
zbMATH Keywords: model stochastic microscopic dynamics
zbMATH Keywords: particles on a lattice
zbMATH Keywords: microscopic fluctuations
author: Joel Lebowitz
MaRDI profile type: Publication
cites work: Q4089232
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description: scientific article; zbMATH DE number 4090982