統計力學無疑是現代物理學的基石之一。考慮到多粒子體系,統計力學是不能繞過的、必備的工具。另外,幾乎所有日常的物理學應用都與統計力學有關。《統計力學——非平衡態熱力學的方法(第二版)(英文影印版)》作為統計力學的專著,側重于非平衡態熱力學問題,是由至于這一方面研究的學者和研究生不應錯過的佳作。
英)斯特里特,英國國王學院教授。
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
非常贊!
好書,必備,值得一看。
1
好
值得閱讀,非常滿意
不錯不錯知識就是力量鉆石VIP誠意回評