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Mathematical foundations of equilibrium classical statistical mechanics of charged particles

CONTENTS Introduction Chapter I. Statistical description of classical systems of charged particles § 1. Mathematical features of the description of Coulomb systems in the thermodynamic limit § 2. The problem of stability of systems with electrostatic interactions § 3. Classical equilibrium statistical mechanics as a model of Euclidean quantum field theory § 4. The limit . The Mayer expansions in the method of Brydges and Federbush Chapter II. Low-temperature and high-temperature expansions § 5. The Peierls expansion and transition to the screened potential § 6. Construction of cluster expansions § 7. Convergence of cluster expansions Chapter III. Theory of Debye screening § 8. Rigorous justification of the Debye-Hückel theory § 9. Debye screening in ion-dipole systems § 10. Influence of dielectric-type boundary conditions on the character of the screened interaction References