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
- How to Add Noise
- 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
- Return to Equilibrium
- 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
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.
© by Ray Streater 25/8/00.