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

Ingenuin Gasser; Peter Markowich; Christian A. Ringhofer

doi:10.1080/00411459608220710

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

Ingenuin Gasser^*, Peter Markowich, Christian A. Ringhofer

^*Corresponding author for this work

Computer, Electrical and Mathematical Sciences and Engineering

Research output: Contribution to journal › Article › peer-review

49 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 language	English (US)
Pages (from-to)	409-423
Number of pages	15
Journal	Transport Theory and Statistical Physics
Volume	25
Issue number	3-5
DOIs	https://doi.org/10.1080/00411459608220710
State	Published - Jan 1 1996

ASJC Scopus subject areas

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

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10.1080/00411459608220710

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title = "Closure conditions for classical and quantum moment hierarchies in the small-temperature limit",

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.",

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AU - Markowich, Peter

AU - Ringhofer, Christian A.

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Y1 - 1996/1/1

N2 - 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.

AB - 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.

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DO - 10.1080/00411459608220710

M3 - Article

AN - SCOPUS:0030507733

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JO - Journal of Computational and Theoretical Transport

JF - Journal of Computational and Theoretical Transport

IS - 3-5

ER -

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

Abstract

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