Mathematical foundations of equilibrium classical statistical mechanics of charged particles

Abstract

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-H?ckel theory ??9. Debye screening in ion-dipole systems ??10. Influence of dielectric-type boundary conditions on the character of the screened interaction References