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

46 Citations (Scopus)

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
StatePublished - 1996

Fingerprint

hydrodynamic equations
Euler equations
kinetic equations
closures
hierarchies
Tensors
Closure
Hydrodynamics
Quantum Hydrodynamics
tensors
Moment
moments
Kinetics
Hydrodynamic Equations
Kinetic Equation
Euler Equations
Tensor
Temperature
temperature
Hierarchy

ASJC Scopus subject areas

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

Cite this

Closure conditions for classical and quantum moment hierarchies in the small-temperature limit. / Gasser, Ingenuin; Markowich, Peter A.; Ringhofer, Christian.

In: Transport Theory and Statistical Physics, Vol. 25, No. 3-5, 1996, p. 409-423.

Research output: Contribution to journalArticle

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