Bibliographic Citation
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| DOI | 10.1103/PhysRevE.51.1725 |
| Title | Virial expansions for quantum plasmas: Maxwell-Boltzmann statistics |
| Creator/Author | Alastuey, A. ; Cornu, F. ; Perez, A. (Laboratoire de Physique, Unite de Recherche Associee No. 1325 au Centre National de la Recherche Scientifique, Ecole Normale Superieure de Lyon, 46 allee d'Italie, 69364 Lyon Cedex 07 (France) Laboratoire de Physique Theorique-ENSLAPP, Unite de Recherche Associee No. 1436 au Centre National de la Recherche Scientifique, Ecole Normale Superieure de Lyon, 46 allee d'Italie, 69364 Lyon Cedex 07 (France)) |
| Publication Date | 1995 Mar 01 |
| OSTI Identifier | OSTI ID: 6405773 |
| Other Number(s) | Journal ID: ISSN 1063-651X; CODEN: PLEEE8 |
| Resource Type | Journal Article |
| Resource Relation | Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States); Journal Volume: 51:3 |
| Subject | 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; QUANTUM PLASMA; VIRIAL EQUATION; BOLTZMANN STATISTICS; CORRELATION FUNCTIONS; DIAGRAMS; EQUATIONS OF STATE; FREE ENERGY; SCALING LAWS; THERMODYNAMIC PROPERTIES; TOPOLOGY; ENERGY; EQUATIONS; FUNCTIONS; MATHEMATICS; PHYSICAL PROPERTIES; PLASMA |
| Description/Abstract | This paper is devoted to the calculation of the density expansions (at fixed temperature) of the Maxwell-Boltzmann thermodynamic functions for a quantum plasma. We start from a standard identity that relates the free energy to the particle correlations. These correlations are represented by diagrammatic series, which have been introduced in a previous paper. In the corresponding graphs, the ordinary points are replaced by extended objects, the filaments, which are linked by resummed bonds depending on the particle densities [rho]. A scaling analysis of the spatial integrals involved in the graphs shows that the free energy can be represented by a double integer series in [rho][sup 1/2] and ln[rho]. Furthermore, we derive simple rules that give the leading order in [rho] of the contribution from every previous graph. The exact density expansion of the free energy is explicitly calculated up to order [rho][sup 5/2]. In the corresponding expression, the contributions of various physical effects, such as screening, diffraction, or recombination, are clearly identified. At the order [rho][sup 2], we recover the expansion obtained via the effective-potential method. Our present terms of order [rho][sup 5/2] correctly reproduce results that are known in some particular limits. |
| Country of Publication | United States |
| Language | English |
| Format | Medium: X; Size: Pages: 1725-1744 |
| System Entry Date | 2008 Sep 11 |
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Last Updated: 11/19/2009