Statistical Mechanics of Coulomb Systems

Philippe-André Martin, Angel Alastuey

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English

Presses Polytechniques et Universitaires Romandes
05 May 2025

Mechanical engineering & materials

A study of the equilibrium properties of Coulomb systems in physics that is the first of its kind.

This book studies the equilibrium properties of Coulomb systems, i.e. classical or quantum systems of charged particles interacting exclusively with the Coulomb force, drawing on results that are mathematically rigorous or derived from formal perturbation series, without ad hoc modeling or intermediate approximations.

Two main themes form the essential purpose of Statistical Mechanics of Coulomb Systems: the simplified description of the proofs of four fundamental theorems on the existence of Coulomb matter on the one hand and the development of a formalism based on diagrammatic expansions adapted to the treatment of classical and quantum screening phenomena on the other hand. The result is an authoritative analysis of Coulomb systems that will be essential for any physicist working in this area.

By: Philippe-André Martin, Angel Alastuey
Imprint: Presses Polytechniques et Universitaires Romandes
Country of Publication: Switzerland
Dimensions: Height: 241mm, Width: 171mm,
Weight: 454g
ISBN: 9782889154425
ISBN 10: 2889154424
Pages: 750
Publication Date: 05 May 2025
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Forthcoming

Introduction 1 From Macroscopic Electrostatics to Microscopic Screening 2 Within Linera Response Theory 3 Charge and Field Fluctuations 4 Statistical Mechanical Models 5 Stability and Extensivity in the Thermodynamic Limit 6 Screened Mayer Expansions 7 Diagrammatic Analysis of Exponential Screening 8 Classical Correlations: Non-Perturbation Results Index

A native of Geneva, Philippe-André Martin studied physics at the University of Geneva. Angel Alastuey is a theoretical physicist. He was director of research at the Physics Laboratory of the ENS Lyon.