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

Ingenuin Gasser; Peter A. Markowich; Christian Ringhofer

doi:10.1080/00411459608220710

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

Ingenuin Gasser
, Peter A. Markowich
, Christian Ringhofer

Mathematical and Statistical Sciences, School of (SoMSS)

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 - 1996

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Transportation
General Physics and Astronomy
Applied Mathematics

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10.1080/00411459608220710

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@article{b7306a19b1024b6a8ef941fa9943a292,

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.",

author = "Ingenuin Gasser and Markowich, \{Peter A.\} and Christian Ringhofer",

note = "Funding Information: Acknowledgements. The first two authors acknowledge support from EC-Network Funding Information: \# ERB CHRXCT 930413 and from the project entitled “Mathematische Analysis und Numerik von quantenhydrodynamischen Modellen der Halbleiterphysik (QHD)” , funded by the Deutsche Forschungsgemeinschaft. The third author is supported by ARPA Grant No. F49620-93-1-0062.",

year = "1996",

doi = "10.1080/00411459608220710",

language = "English (US)",

volume = "25",

pages = "409--423",

journal = "Transport Theory and Statistical Physics",

issn = "0041-1450",

publisher = "Taylor and Francis Ltd.",

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T1 - Closure conditions for classical and quantum moment hierarchies in the small-temperature limit

AU - Gasser, Ingenuin

AU - Markowich, Peter A.

AU - Ringhofer, Christian

N1 - Funding Information: Acknowledgements. The first two authors acknowledge support from EC-Network Funding Information: # ERB CHRXCT 930413 and from the project entitled “Mathematische Analysis und Numerik von quantenhydrodynamischen Modellen der Halbleiterphysik (QHD)” , funded by the Deutsche Forschungsgemeinschaft. The third author is supported by ARPA Grant No. F49620-93-1-0062.

PY - 1996

Y1 - 1996

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.

UR - https://www.scopus.com/pages/publications/0030507733

UR - https://www.scopus.com/pages/publications/0030507733#tab=citedBy

U2 - 10.1080/00411459608220710

DO - 10.1080/00411459608220710

M3 - Article

AN - SCOPUS:0030507733

SN - 0041-1450

VL - 25

SP - 409

EP - 423

JO - Transport Theory and Statistical Physics

JF - Transport Theory and Statistical Physics

IS - 3-5

ER -

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

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