The Mathematical Theory of Thermodynamic Limits: Thomas--Fermi Type Models

The Mathematical Theory of Thermodynamic Limits: Thomas--Fermi Type Models

by Isabelle Catto, Claude Le Bris, Pierre-Louis Lions
     
 

The thermodynamic limit is a mathematical technique for modeling crystals or other macroscopic objects by considering them as infinite periodic arrays of molecules. The technique allows models in solid state physics to be derived directly from models in quantum chemistry. This book presents new results, many previously unpublished, for a large class of models and

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Overview

The thermodynamic limit is a mathematical technique for modeling crystals or other macroscopic objects by considering them as infinite periodic arrays of molecules. The technique allows models in solid state physics to be derived directly from models in quantum chemistry. This book presents new results, many previously unpublished, for a large class of models and provides a survey of the mathematics of thermodynamic limit problems. The authors both work closely with Fields Medal-winner Pierre-Louis Lion, and the book will be a valuable tool for applied mathematicians and mathematical physicists studying nonlinear partial differential equations.

Product Details

ISBN-13:
9780198501619
Publisher:
Oxford University Press, USA
Publication date:
10/28/1998
Series:
Oxford Mathematical Monographs Series
Pages:
296
Product dimensions:
6.30(w) x 9.20(h) x 0.80(d)

Meet the Author

Universite Paris-Dauphine

Ecole Nationale des Ponts et Chaussees, Marne la Vallee

Universite Paris-Dauphine

Table of Contents

Preface
Contents
1. General Presentation
2. Convergence of the energy for the Thomas-Fermi-von Weizsäcker model with Yukawa potential
3. Convergence of the energy for the Thomas-Fermi-von-Weizsäcker model
4. Convergence of the density for the Thomas-Fermi-von-Weizsäcker model with Yukawa potential
5. Convergence of the density for the Thomas-Fermi-von-Weizsäcker model
6. Convergence of the energy via the convergence of the density
Bibliography

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