Closure conditions for classical and quantum moment hierarchies in the small-temperature limit

Ingenuin Gasser, Peter A. Markowich, Christian Ringhofer

Research output: Contribution to journalArticle

47 Scopus citations

Abstract

We analyze closure conditions in the small initial temperature limit for classical and quantum mechanical moment hierarchies of corresponding collisionless kinetic equations. Euler equations with a nondiagonal pressure tensor are obtained in the classical case. In the quantum case we consider the cases of fixed and small (scaled) Planck constant and derive Quantum Hydrodynamic equations.

Original languageEnglish (US)
Pages (from-to)409-423
Number of pages15
JournalTransport Theory and Statistical Physics
Volume25
Issue number3-5
DOIs
StatePublished - 1996

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Transportation
  • Physics and Astronomy(all)
  • Applied Mathematics

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