The Logic of Thermostatistical Physics

Gérard Emch, Chuang Liu

702 pages, parution le 05/02/2002

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Résumé

This book deals with models and model-building in classical and quantum physics; it relies on logic and the philosophy of science as well as on modern mathematics. The reader will also find vistas into the history of ideas. The philosophical analysis is based on the separation of syntax and semantics, which is at the root of Kolmogorov's theory of probability; recursive functions and algorithmic complexity are used to discuss entropy and randomness. Basic concepts are discussed, together with concrete physical models for phase transitions, scaling, renormalization semigroups, and the irreversible approach to equilibrium. The book is intended for mathematicians, physicists and philosophers of science, both researchers and graduate students.

Contents

Theories and Models : a Philosophical Review
Thermostatics
Kinetic Theory of Gases
Classical Probability
Modern Probability : Syntax and Models
Modern Probability : Competing Semantics
Setting-up the Ergodic Problem
Models and Ergodic Hierarchy
Ergodicity versus Integrability
The Gibbs Canonical Ensembles
Phase Transistions : van der Waals to Lenz
Isig and Related Models
Scaling and Renormalization
Quantum Models for Phase Transistions
Approach to Equilibrium in Quantum Mechanics
The Philosophical Horizon
Appendixes
References
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Gérard Emch, Chuang Liu
Parution	05/02/2002
Nb. de pages	702
Format	16 x 24
Couverture	Relié
Poids	1114g
Intérieur	Noir et Blanc
EAN13	9783540413790