Screened cluster expansions for partially ionized gases

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dc.creatorAlastuey, A.
dc.creatorBallenegger, V.
dc.creatorCornu, F.
dc.creatorMartin, Ph. A.
dc.date2003-04-02
dc.date.accessioned2026-07-07T02:50:34Z
dc.date.available2026-07-07T02:50:34Z
dc.descriptionWe consider a partially ionized gas at thermal equilibrium, in the Saha regime. The system is described in terms of a quantum plasma of nuclei and electrons. In this framework, the Coulomb interaction is the source of a large variety of phenomena occuring at different scales: recombination, screening, diffraction, etc. In this paper, we derive a cluster expansion adequate for a coherent treatment of those phenomena. The expansion is obtained by combining the path integral representation of the quantum gas with familiar Mayer diagrammatics. In this formalism, graphs have a clear physical interpretation: vertices are associated with recombined chemical species, while bonds describe their mutual interactions. The diagrammatical rules account exactly for all effects in the medium. Applications to thermodynamics, van der Waals forces and dielectric versus conductive behaviour will be presented in forthcoming papers.
dc.description38 pages, 13 figures (submitted to J. Stat. Phys.)
dc.identifierhttps://arxiv.org/abs/cond-mat/0304059
dc.identifierhttp://arxiv.org/abs/cond-mat/0304059
dc.identifierJ. Stat. Phys. 113 (2003): 455-503
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21150
dc.subjectStatistical Mechanics
dc.titleScreened cluster expansions for partially ionized gases
dc.typetext

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