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统计力学 非平衡态热力学的随机方法 第2版 英文PDF|Epub|txt|kindle电子书版本网盘下载
- 鲁迅著 著
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- 出版时间：2014
- 标注页数：0页
- 文件大小：55MB
- 文件页数：397页
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统计力学 非平衡态热力学的随机方法 第2版 英文PDF格式电子书版下载
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图书目录
Classical Statistical Dynamics1
1．Introduction3
2．Probability Theory13
2.1 Sample Spaces and States13
2.2 Random Variables,Algebras24
2.3 Entropy34
2.4 Exercises39
3．Linear Dynamics43
3.1 Reversible Dynamics43
3.2 Random Dynamics48
3.3 Convergence to Equilibrium60
3.4 Markov Chains66
3.5 Exercises69
4． Isolated Dynamics73
4.1 The Boltzmann Map73
4.2 The Heat-Particle87
4.3 The Hard-Core Model of Chemical Kinetics94
4.3.1 Isomers and Diffusion in a Force-Field95
4.3.2 Markov Dynamics100
4.3.3 Entropy Production102
4.3.4 Osmosis103
4.3.5 Exchange Diffusion104
4.3.6 General Diffusions105
4.4 Chemical Reactions106
4.4.1 Unimolecular Reactions106
4.4.2 Balanced Reactions107
4.5 Energy of Solvation111
4.6 Activity-led Reactions111
4.7 Exercises119
5．Isothermal Dynamics123
5.1 Legendre Transforms124
5.2 The Free-energy Theorem126
5.3 Chemical Kinetics130
5.4 Convergence in Norm137
5.5 Dilation of Markov Chains146
5.6 Exercises149
6．Driven Systems151
6.1 Sources and Sinks151
6.2 A Poor Conductor152
6.3 A Driven Chemical System155
6.4 How to Add Noise162
6.5 Exercises165
7．Fluid Dynamics167
7.1 Hydrostatics of a Gas of Hard Spheres168
7.2 The Fundamental Equation171
7.3 The Euler Equations177
7.4 Entropy Production178
7.5 A Correct Navier-Stokes System181
Quantum Statistical Dynamics187
8．Introduction to Quantum Theory189
9．Quantum Probability197
9.1 Algebras of Observables197
9.2 States204
9.3 Quantum Entropy213
9.4 Exercises217
10．Linear Quantum Dynamics221
10.1 Reversible Dynamics221
10.2 Random Quantum Dynamics224
10.3 Quantum Dynamical Maps228
10.4 Exercises236
11．Isolated Quantum Dynamics237
11.1 The Quantum Boltzmann Map237
11.2 The Quantum Heat-Particle240
11.3 Fermions and Ions with a Hard Core256
11.4 The Quantum Boltzmann Equation272
11.5 Exercises281
12．Isothermal and Driven Systems283
12.1 Isothermal Quantum Dynamics283
12.2 Convergence to Equilibrium289
12.3 Driven Quantum Systems292
12.4 Exercises296
13．Infinite Systems297
13.1 The Algebra of an Infinite System299
13.2 The Reversible Dynamics300
13.3 Return to Equilibrium302
13.4 Irreversible Linear Dynamics306
13.5 Exercises309
14．Proof of the Second Law311
14.1 von Neumann Entropy311
14.2 Entropy Increase in Quantum Mechanics312
14.3 The Quantum Kac Model314
14.4 Equilibrium315
14.5 The ？-Limit316
14.6 The Marginals and Entropy316
14.7 The Results317
15．Information Geometry319
15.1 The Jaynes-Ingarden Theory319
15.2 Non-Linear Ising Dynamics322
15.3 Ising Model Close to Equilibrium327
15.4 Non-linear Heisenberg Model329
15.5 Estimation;the Cramér-Rao Inequality333
15.6 Efron,Dawid and Amari337
15.7 Entropy Methods,Exponential Families340
15.8 The Work of Pistone and Sempi341
15.9 The Finite-Dimensional Quantum Info-Manifold346
15.10 Araki's Expansionals and the Analytic Manifold352
15.11 The Quantum Young Function354
15.12 The Quantum Cramér Class359
15.13 The Parameter-Free Quantum Manifold360
15.14 Exercises364
Bibliography367
Index377