Microscopic origin of hydrodynamic equations: Derivation and consequences

J.L. Lebowitz

Physica A: Statistical Mechanics and its Applications, 1986, vol. 140, issue 1, 232-239

Abstract: 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.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:140:y:1986:i:1:p:232-239

DOI: 10.1016/0378-4371(86)90227-X

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