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书名 统计力学--非平衡态热力学的随机方法(第2版影印版)/引进系列/中外物理学精品书系
分类 科学技术-自然科学-物理
作者 (英)斯特里特
出版社 北京大学出版社
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  斯特里特编著的《统计力学——非平衡态热力学的随机方法(第2版影印版)》详细地介绍了用统计力学方法处理非平衡态热力学和统计物理问题的研究。其中统计方法包含了经典统计和量子统计。本书研究对象主要为平均能量守恒和熵增的系统。探讨了热噪声、化学反应、扩散等等问题。

本书可作为统计物理、凝聚态物理、材料科学领域的研究者的参考书,也可供相关领域研究生作为教材使用。

目录

Preface

Classical Statistical Dynamics

1.Introduction

2.Probability Theory

 2.1 Sample Spaces and States

 2.2 Random Variables, Algebras

 2.3 Entropy

 2.4 Exercises

3.Linear Dynamics

 3.1 Reversible Dynamics

 3.2 Random Dynamics

 3.3 Convergence to Equilibrium

 3.4 Markov Chains

 3.5 Exercises

4.Isolated Dynamics

 4.1 The Boltzmann Map

 4.2 The Heat-Particle

 4.3 The Hard-Core Model of Chemical Kinetics

4.3.1 Isomers and Diffusion in a Force-Field

4.3.2 Markov Dynamics

4.3.3 Entropy Production

4.3.4 Osmosis

4.3.5 Exchange Diffusion

4.3.6 General Diffusions

 4.4 Chemical Reactions

4.4.1 Unimolecular Reactions

4.4.2 Balanced Reactions

 4.5 Energy of Solvation

 4.6 Activity-led Reactions

 4.7 Exercises

5.Isothermal Dynamics

 5.1 Legendre Transforms

 5.2 The Free-energy Theorem

 5.3 Chemical Kinetics

 5.4 Convergence in Norm

 5.5 Dilation of Markov Chains

 5.6 Exercises

6.Driven Systems

 6.1 Sources and Sinks

 6.2 A Poor Conductor

 6.3 A Driven Chemical System

 6.4 How to Add Noise

 6.5 Exercises

7.Fluid Dynamics

 7.1 Hydrostatics of a Gas of Hard Spheres

 7.2 The Fundamental Equation

 7.3 The Euler Equations

 7.4 Entropy Production

 7.5 A Correct Navier-Stokes System

Quantum Statistical Dynamics

8.Introduction to Quantum Theory

9.Quantum Probability

 9.1 Algebras of Observables

 9.2 States

 9.3 Quantum Entropy

 9.4 Exercises

10.Linear Quantum Dynamics

 10.1 Reversible Dynamics

 10.2 Random Quantum Dynamics

 10.3 Quantum Dynamical Maps

 10.4 Exercises

11.Isolated Quantum Dynamics

 11.1 The Quantum Boltzmann Map

 11.2 The Quantum Heat-Particle

 11.3 Fermions and Ions with a Hard Core

 11.4 The Quantum Boltzmann Equation

 11.5 Exercises

12.Isothermal and Driven Systems

 12.1 Isothermal Quantum Dynamics

 12.2 Convergence to Equilibrium

 12.3 Driven Quantum Systems

 12.4 Exercises

13.Infinite Systems

 13.1 The Algebra of an Infinite System

 13.2 The Reversible Dynamics

 13.3 Return to Equilibrium

 13.4 Irreversible Linear Dynamics

 13.5 Exercises

14.Proof of the Second Law

 14.1 yon Neumann Entropy

 14.2 Entropy Increase in Quantum Mechanics

 14.3 The Quantum Kac Model

 14.4 Equilibrium

 14.5 The e-Limit

 14.6 The Marginals and Entropy

 14.7 The Results

15.Information Geometry

 15.1 The Jaynes-Ingarden Theory

 15.2 Non-Linear Ising Dynamics

 15.3 Ising Model Close to Equilibrium

 15.4 Non-linear Heisenberg Model

 15.5 Estimation; the Cramer-Rao Inequality

 15.6 Efron, Dawid and Amari

 15.7 Entropy Methods, Exponential Families

 15.8 The Work of Pistone and Sempi

 15.9 The Finite-Dimensional Quantum Info-Manifold

 15.10 Araki's Expansionals and the Analytic Manifold

 15.11 The Quantum Young Function

 15.12 The Quantum Cramer Class

 15.13 The Parameter-Free Quantum Manifold

 15.14 Exercises

Bibliography

Index

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