Microscopic origin of hydrodynamic equations: Derivation and consequences

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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.

Original languageEnglish (US)
Pages (from-to)232-239
Number of pages8
JournalPhysica A: Statistical Mechanics and its Applications
Volume140
Issue number1-2
DOIs
StatePublished - Dec 1 1986

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Condensed Matter Physics

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