《熵大偏差和统计力学》是一部教程,内容上相对独立,自成体系。书中大偏差的讲述除了为这科目做出了巨大贡献,也将统计力学的好多方面完美结合,并且很具有数学吸引力。而且作者在没有假设读者具有丰富的物理知识背景下讲述,使得本书能够让更多的读者学习理解。每章末都附有一节注解和一节问题,这100来道练习题,附有许多提示,使得本书更加易于学习理解。本书由艾里斯编。
网站首页 软件下载 游戏下载 翻译软件 电子书下载 电影下载 电视剧下载 教程攻略
书名 | 熵大偏差和统计力学 |
分类 | 科学技术-自然科学-数学 |
作者 | (美)艾里斯 |
出版社 | 世界图书出版公司 |
下载 | ![]() |
简介 | 编辑推荐 《熵大偏差和统计力学》是一部教程,内容上相对独立,自成体系。书中大偏差的讲述除了为这科目做出了巨大贡献,也将统计力学的好多方面完美结合,并且很具有数学吸引力。而且作者在没有假设读者具有丰富的物理知识背景下讲述,使得本书能够让更多的读者学习理解。每章末都附有一节注解和一节问题,这100来道练习题,附有许多提示,使得本书更加易于学习理解。本书由艾里斯编。 目录 Preface Comments on the Use of This Book PART 1: LARGE DEVIATIONS AND STATISTICAL MECHANICS Chapter 1. Introduction to Large Deviations Overview Large Deviations for 1.I.D. Random Variables with a Finite State Space Levels-1 and 2 for Coin Tossing Levels-1 and 2 for I.I.D. Random Variables with a Finite State Space Level-3: Empirical Pair Measure Level-3: Empirical Process Notes Problems Chapter 2. Large Deviation Property and Asymptotics of Integrals Introduction Levels-l, 2, and 3 Large Deviations for I.I.D. Random Vectors The Definition of Large Deviation Property Statement of Large Deviation Properties for Levels-l, 2, and 3 Contraction Principles Large Deviation Property for Random Vectors and Exponential Convergence Varadhan's Theorem 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 Canonical Ensemble and Its Equivalence 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 |
随便看 |
|
霍普软件下载网电子书栏目提供海量电子书在线免费阅读及下载。