Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-04-02
J. Stat. Phys. 113 (2003): 455-503
Physics
Condensed Matter
Statistical Mechanics
38 pages, 13 figures (submitted to J. Stat. Phys.)
Scientific paper
We 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.
Alastuey Angel
Ballenegger Vincent
Cornu Francoise
Martin Ph. A.
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