## Statistical Dynamics, Imperial College Press, 1995; second edition, 2010.

by R. F. Streater.
Further ideas on entropy can be found in the page of Roland Gunesch , originally started by Chris Hillman.

Some further progress in the theory, statistical dynamics, is reported by Maxim Raginsky.

A similar theory of non-linear processes has been described in The evolutionary unfolding of complexity, by James P. Crutchfield and Eric van Nimwegan; the method is also called statistical dynamics, and can be read here.

Goran Lindblad has written a nice paper on the general subject of quantum dynamics.

### CONTENTS

Preface

#### Part I. Classical Statistical Dynamics

Chapter 1; Introduction

Chapter 2; Probability Theory

• Sample Spaces and States
• Random Variables, Algebras
• Entropy
• Exercises

Chapter 3; Linear Dynamics

• Reversible Dynamics
• Random Dynamics
• Convergence to Equilibrium
• Markov Chains
• Exercises

Chapter 4: Isolated Dynamics

• The Boltzmann Map
• The Heat-Particle
• Activity-led Reactions
• Exercises

Chapter 5: Isothermal Dynamics

• Legendre Transforms
• The Free-energy Theorem
• Chemical Kinetics
• Convergence in Norm
• Dilation of Markov Chains
• Exercises

Chapter 6: Driven Systems

• Sources and Sinks
• A Poor Conductor
• A Driven Chemical System
• Exercises

#### Part II: Quantum Statistical Dynamics

Chapter 7; Introduction

Chapter 8; Quantum Probability

• Algebras of Observables
• States
• Quantum Entropy
• Exercises

Chapter 9; Linear Quantum Dynamics

• Reversible Quantum Dynamics
• Random Quantum Dynamics
• Quantum Dynamical Maps
• Exercises

Chapter 10; Isolated Quantum Dynamics

• The Quantum Boltzmann Map
• The Quantum Heat-particle
• Fermions and Hard-core Ions
• The Quantum Boltzmann Equation
• Exercises

Chapter 11; Isothermal and Driven Systems

• Isothermal Quantum Dynamics
• Convergence to Equilibrium
• Driven Quantum Systems
• Exercises

Chapter 12; Infinite Systems

• The Algebra of an Infinite System
• The Reversible Dynamics
• Irreversible Linear Dynamics
• A Model in Infinite Volume
• Exercises

Chapter 13; Generalised Temperatures

• The Jaynes-Ingarden Theory
• Non-linear Ising Dynamics
• Ising Model Close to Equilibrium
• Non-linear Heisenberg Model
• Exercises

Bibliography

Index

### Corrections

Further corrections gleefully received by ray.streater@kcl.ac.uk

Go back to my HOME PAGE for links to related papers, arXiv versions, and to my co-authors and other friends.