Axiomatics of Classical Statistical Mechanics
- 190 pages
- English
- PDF
- Available on iOS & Android
Axiomatics of Classical Statistical Mechanics
About This Book
Axiomatics of Classical Statistical Mechanics provides an understanding of classical statistical mechanics as a deductive system. This book presents the mechanical systems of a finite number of degrees of freedom. Organized into seven chapters, this book begins with an overview of the average behavior of mechanical systems. This text then examines the concept of a mechanical system and explains the equations of motion of the system. Other chapters consider an ensemble of mechanical systems wherein a Hamiltonian function and a truncated canonical probability density corresponds to each system. This book discusses as well the necessary and sufficient conditions that are given for the existence of statistically stationary states and for the approach of mechanical systems towards these states. The final chapter deals with the fundamental laws of thermodynamics. This book is a valuable resource for mathematicians.
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Table of contents
- Front Cover
- Axiomatics of Classical Statistical Mechanics
- Copyright Page
- Table of Contents
- By the same author
- PREFACE
- CHAPTER I. INTRODUCTION
- CHAPTER II. MATHEMATICAL TOOLS
- CHAPTER III. THE PHASE FLOWS OF MECHANICAL SYSTEMS
- CHAPTER IV. THE INITIAL DISTRIBUTION OF PROBABILITY IN THE PHASE SPACE
- CHAPTER V. PROBABILITY DISTRIBUTIONS WHICH DEPEND ON TIME
- CHAPTER VI. TIME-INDEPENDENT PROBABILITY DISTRIBUTIONS
- CHAPTER VII. STATISTICAL THERMODYNAMICS
- SUBJECT INDEX