A Note on quantum moment hydrodynamics and the entropy principle

Pierre Degond; Christian Ringhofer

doi:10.1016/S1631-073X(02)02595-5

A Note on quantum moment hydrodynamics and the entropy principle
[Une Note sur l'hydrodynamique des moments quantiques et le principe d'entropie]

Pierre Degond ¹ ; Christian Ringhofer ²

¹ MIP (UMR CNRS 5640), Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse cedex 4, France
² Department of Mathematics, Arizona State University, Tempe, AZ 85287-1804, USA

Comptes Rendus. Mathématique, Volume 335 (2002) no. 11, pp. 967-972.

Résumé
Abstract

Dans cette Note, nous montrons comment une version non-commutative du principe d'extremalisation de l'entropie permet de construire de nouveaux modèles hydrodynamiques quantiques.

In this Note, we show how a non-commutative version of the entropy extremalization principle allows one to construct new quantum hydrodynamic models.

Reçu le : 2002-06-03
Accepté le : 2002-10-16
Publié le : 2002-11-14

DOI : 10.1016/S1631-073X(02)02595-5

Affiliations des auteurs :

Pierre Degond ¹ ; Christian Ringhofer ²

¹ MIP (UMR CNRS 5640), Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse cedex 4, France
² Department of Mathematics, Arizona State University, Tempe, AZ 85287-1804, USA

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     author = {Pierre Degond and Christian Ringhofer},
     title = {A {Note} on quantum moment hydrodynamics and the entropy principle},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {967--972},
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     number = {11},
     year = {2002},
     doi = {10.1016/S1631-073X(02)02595-5},
     language = {en},
}

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Pierre Degond; Christian Ringhofer. A Note on quantum moment hydrodynamics and the entropy principle. Comptes Rendus. Mathématique, Volume 335 (2002) no. 11, pp. 967-972. doi : 10.1016/S1631-073X(02)02595-5. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02595-5/

Bibliographie
Cité par

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