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Statistical Mechanics of Coulomb Systems - Angel Alastuey, Philippe A. Martin - EPFL Press

Statistical Mechanics of Coulomb Systems

de Angel Alastuey (auteur), Philippe A. Martin (auteur)
Collection : Engineering Sciences
août 2025
format 160 x 240 728 pages En stock
145,00 €

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Présentation

This book studies the equilibrium properties of Coulomb systems, namely classical or quantum systems of charged particles interacting purely with the Coulomb force, drawing on results that are mathematically rigorous or derived from formal perturbation series, without resorting to ad hoc modeling or phenomenological descriptions. It also includes the findings of ab initio numerical simulations, as well as a presentation of simple and accurate approximations. Exercises with corrections are proposed

There are two main themes. The first aims to gather and summarize the demonstrations of fundamental theorems on the stability and extensivity of matter, the screening phenomena, and the existence of atomic and molecular phases. The second theme revolves around an in-depth analysis of the Coulombic correlations by means of diagrammatic series of Mayer type, that incorporate screening in a non perturbative way. This tool is well suited to low-density calculations of van der Waals forces and viral expansions in fully or partially ionized regimes. Considerations about the Kosterlitz-Thouless transition and phase transitions in simple models are also presented. The book is the first of its kind, providing an authoritative text for any physicist working in this area.

Sommaire

  • Contents
  • Introduction
  • 1 From Macroscopic Electrostatics to Microscopic Screening
  • 2 Screening Within Linear 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
  • 9 Solvable Models and Numerical Simulations
  • 10 Breakdown of Debye Screening for Quantum Charges
  • 11 The Gas of Loops and the Quantum Analog of the Debye Potential
  • 12 The Low-Density Weakly Degenerate Regime
  • 13 Grand Canonical Diagrammatic Representation
  • 14 Quantum Correlations at Large Distances
  • 15 Atoms and Molecules
  • 16 Van der Waals Forces
  • 17 Thermodynamic Relations and Classical Equations of State
  • 18 Quantum Thermodynamic Functions
  • 19 The Kosterlitz-Thouless Transition
  • 20 Phase Transitions in Simple Systems
  • Appendices
  • A Linear Response Theory – B Statistical Independence and Clustering – C Gaussian Integrals and Gaussian Fields – D Mayer Diagrams – E The Sine-Gordon Representation – F The YBG Hierarchy for Coulomb Systems – G The Feynman-Kac Representation – H Statistical Mechanics of Loops – I Density Functional Theory
  • Notations repertory
  • Acknowledgments

Avis

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Informations

Éditeur : EPFL Press

Auteur(s) : Angel Alastuey, Philippe A. Martin

Collection : Engineering Sciences

Publication : 7 août 2025

Édition : 1re édition

Support(s) : Livre papier

Nombre de pages Livre papier : 728

Format (en mm) Livre papier : 160 x 240

Poids (en grammes) : 1290

Langue(s) : Anglais

EAN13 Livre papier : 9782889154425

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