熵大偏差和统计力学

《熵大偏差和统计力学》一书的出版社是世界图书出版公司，出版时间是2011年6月1日。

• 书名 熵大偏差和统计力学
• 页数 364页
• 出版社 世界图书出版公司
• 出版时间 2011年6月1日

图书信息

　　出版社: 世界图书出版公司; 第1版 (2011年6月1日)

　　外文书名: Entropy,Large Deviations,an社众苗附互d Statistical Mec来自hanics

　　平装: 364页

　　正文语种: 英语

　　开本: 2谓谁帮飞吃4

　　ISBN: 9787510035111

　360百科　条形码: 9787510035111

　　尺寸: 22 x 14.8 x 1.8 cm

　　重量: 481 g

作者简介

　　作者:(美犯会国)艾里斯 (Rich集室知袁单父沙对矛盟ard S.Ellis)

　　艾里斯，Richard S.Ellis，receive怕图汽批号宪左d his B.A. degree in mathematics and German literat异元ure from Harvard University in 1969 and his Ph.D. degree in mathemat心间总着绿银职策顶光ics from New York University in 1972. After spending three years 宣国战at Northwestern University, he moved to the University of Massachusett巴除才话s, Amherst, where he is a Professor in the Department of Mathematics and Statistics a工犯谓造nd Adjunct Professor in the Depart-ment of Judaic and Near Eastern Studies. His rese报呢逐赵县种料文arch inter置控种列州信什北首爱留ests in mathematics focus on the theory 剧元消装为of large d称赵旧社盟封投仅有宜eviations and on appl传针关置准开快道ica-tions to statistical mechanics and other areas.

内容简介

　　《熵大偏差和统计力学(英文)》主要内容简介:This book has two main topics: la觉销组假流拉坚省几用速rge deviation盾下但百确s and equilibrium statistical mechanics. I hope to convince the reader that these topics have many points of contact and that in being treated together, they enrich each other. Entropy,in its various guises, is their common core.

目录

　　Preface

　　Comments on the Use of T来自his Book

　　PART 1: LARGE DEVIATIONS AND STATISTICAL MECH360百科ANICS

　　Chapter 1. Introduction to Large Deviations

　　Overview

　　Large Deviations for 1.I.D. Random Variab在孩轴实les with a Finite Stat该究师绿衣官互客跳买化e

　　Space

　　Levels-1 and 2 for Coin Tossing

　　Levels-1 and 2 for I.I.D. Random Variables with a Fi失望械但略德汽nite State

　　Space

　　Level-3: Empiri底没占cal Pair Measure

　　Le子负创冷染vel-3: Empirical Process

　　Notes

　　Problems

　　Chapter 2. Larg银体度超争斗妒松胞系e Deviation Pr练operty and 起要省块Asymptotics of Integrals

　　Introduction

　　Levels-l, 2, and 3 Large Deviations for I.I.D. Random Vectors

　　著段起洲速The Definiti土on of Large Deviation Property

　　Statement of Large Deviation Properties for Levels-l, 2, and 3

　　Contr先谈练望山承品侵材action Principles

　　Large Deviation Property for Random Vectors and Exponential

　　Convergence

　　Var绍迅卫章治adhan's Theore你边员m on the Asymptotics of Integrals

　　Notes

　　Problems

　　Chapter 3. Large Deviations and the Discrete Ideal Gas

　　Introduction

　　Physics Prelude: Thermodynamics

　　The Discrete Ideal Gas and the Microcanonical Ensemble

　　Thermodynamic Limit, Exponential Convergence, and

　　Equilibrium Values

　　The Maxwell-Boltzmann Distribution and Temperature

　　The Canonica九斯余l Ensemble 内往双and Its Equ体护业征承原预术ivalence with the

　　Microcanonical Ensemble

　　A Derivation of a Thermodynamic Equation

　　The Gibbs Variational Formula and Principle

　　Notes

　　Problems

　　Chapter 4. Ferromagnetic Models on Z

　　Introduction

　　An Overview of Ferromagnetic Models

　　Finite-Volume Gibbs States on Z

　　Spontaneous Magnetization for the Curie-Weiss Model

　　Spontaneous Magnetization for General Ferromagnets on Z

　　Infinite-Volume Gibbs States and Phase Transitions

　　The Gibbs Variational Formula and Principle

　　Notes

　　Problems

　　Chapter 5. Magnetic Models on Zn and on the Circle

　　Introduction

　　Finite-Volume Gibbs States on ZD, D > 1

　　Moment Inequalities

　　Properties of the Magnetization and the Gibbs Free Energy

　　Spontaneous Magnetization on ZD, D >2, Via the Peierls Argument

　　Infinite-Volume Gibbs States and Phase Transitions

　　Infinite-Volume Gibbs States and the Central Limit Theorem

　　Critical Phenomena and the Breakdown of the Central Limit

　　Theorem

　　Three Faces of the Curie-Weiss Model

　　The Circle Model and Random Waves

　　A Postscript on Magnetic Models

　　Notes

　　Problems

　　PART 2: CONVEXITY AND PROOFS OF LARGE DEVIATION

　　THEOREMS

　　Chapter 6. Convex Functions and the Legendre-Fenchel Transform

　　Introduction

　　Basic Definitions

　　Properties of Convex Functions

　　……

　　APPENDICES