Statistical Dynamics

by Streater, R. F.

• ISBN13: 9781860940026
• ISBN10: 1860940021
• Format: Hardcover
• Copyright: 1995-06-01
• Publisher: World Scientific Pub Co Inc

Table of Contents

Preface	v
I Classical Statistical Dynamics	1	(130)
Introduction	3	(8)
Probability Theory	11	(26)
Sample Spaces and States	11	(10)
Random Variables, Algebras	21	(9)
Entropy	30	(3)
Exercises	33	(4)
Linear Dynamics	37	(24)
Reversible Dynamics	37	(4)
Random Dynamics	41	(9)
Convergence to Equilibrium	50	(5)
Markov Chains	55	(2)
Exercises	57	(4)
Isolated Dynamics	61	(30)
The Boltzmann Map	61	(13)
The Heat-Particle	74	(6)
Activity-led Reactions	80	(8)
Exercises	88	(3)
Isothermal Dynamics	91	(26)
Legendre Transforms	92	(2)
The Free-energy Theorem	94	(4)
Chemical Kinetics	98	(6)
Convergence in Norm	104	(9)
Dilation of Markov Chains	113	(3)
Exercises	116	(1)
Driven Systems	117	(14)
Sources and Sinks	117	(1)
A Poor Conductor	118	(3)
A Driven Chemical System	121	(6)
How to Add Noise	127	(2)
Exercises	129	(2)
II Quantum Statistical Dynamics	131	(128)
Introduction	133	(6)
Quantum Probability	139	(20)
Algebras of Observables	139	(7)
States	146	(6)
Quantum Entropy	152	(4)
Exercises	156	(3)
Linear Quantum Dynamics	159	(14)
Reversible Dynamics	159	(3)
Random Quantum Dynamics	162	(3)
Quantum Dynamical Maps	165	(6)
Exercises	171	(2)
Isolated Quantum Dynamics	173	(42)
The Quantum Boltzmann Map	173	(3)
The Quantum Heat-Particle	176	(14)
Fermions and Hard-core Ions	190	(14)
The Quantum Boltzmann Equation	204	(8)
Exercises	212	(3)
Isothermal and Driven Systems	215	(14)
Isothermal Quantum Dynamics	215	(6)
Convergence to Equilibrium	221	(2)
Driven Quantum Systems	223	(4)
Exercises	227	(2)
Infinite Systems	229	(14)
The Algebra of an Infinite System	230	(1)
The Reversible Dynamics	231	(3)
Return to Equilibrium	234	(3)
Irreversible Linear Dynamics	237	(3)
A Model in Infinite Volume	240	(2)
Exercises	242	(1)
Generalised Temperatures	243	(16)
The Jaynes-Ingarden Theory	243	(3)
Non-linear Ising Dynamics	246	(4)
Ising Model Close to Equilibrium	250	(2)
Non-linear Heisenberg Model	252	(6)
Exercises	258	(1)
Bibliography	259	(10)
Index	269