Coulomb systems at low density

Details Coulomb systems at low density Coulomb systems at low density

1999-04-09

arxiv.org/abs/cond-mat/9904122v1

Physics

Condensed Matter

Statistical Mechanics

review

Scientific paper

Results on the correlations of low density classical and quantum Coulomb systems at equilibrium in three dimensions are reviewed. The exponential decay of particle correlations in the classical Coulomb system -- Debye-H\"uckel screening -- is compared and contrasted with the quantum case where strong arguments are presented for the absence of exponential screening. Results and techniques for detailed calculations that determine the asymptotic decay of correlations for quantum systems are discussed. Theorems on the existence of molecules in the Saha regime are reviewed. Finally, new combinatoric formulas for the coefficients of Mayer expansions are presented and their role in proofs of results on Debye-H\"uckel screening is discussed.

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