Dynamics of Dissipation

1. Front Matter

   Pages I-X

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2. Introduction

   1. Introduction

      • Piotr Garbaczewski, Robert Olkiewicz

      Pages 1-4

3. Nonequilibrium Dynamics

   1. Some Recent Advances in Classical Statistical Mechanics

      • E. G. D. Cohen

      Pages 7-33

   2. Deterministic Thermostats and Flctuation Relations

      • L. Rondoni

      Pages 35-61

   3. What Is the Microscopic Response of a System Driven Far From Equilibrium?

      • C. Jarzynski

      Pages 63-82

   4. Non-equilibrium Statistical Mechanics of Classical and Quantum Systems

      • D. Kusnezov, E. Lutz, K. Aoki

      Pages 83-108

4. Dynamics of Relaxation and Chaotic Behaviour

   1. Dynamical Theory of Relaxation in Classical and Quantum Systems

      • P. Gaspard

      Pages 111-163

   2. Relaxation and Noise in Chaotic Systems

      • S. Fishman, S. Rahav

      Pages 165-192

   3. Fractal Structures in the Phase Space of Simple Chaotic Systems with Transport

      • J. R. Dorfman

      Pages 193-212

5. Dynamical Semigroups

   1. Markov Semigroups and Their Applications

      • R. Rudnicki, K. Pichór, M. Tyran-Kamińska

      Pages 215-238

   2. Invitation to Quantum Dynamical Semigroups

      • R. Alicki

      Pages 239-264

   3. Finite Dissipative Quantum Systems

      • M. Fannes

      Pages 265-281

   4. Complete Positivity in Dissipative Quantum Dynamics

      • F. Benatti, R. Floreanini, R. Romano

      Pages 283-304

   5. Quantum Stochastic Dynamical Semigroup

      • W. A. Majewski

      Pages 305-313

6. Driving, Dissipation and Control in Quantum Systems

   1. Driven Chaotic Mesoscopic Systems, Dissipation and Decoherence

      • D. Cohen

      Pages 317-350

   2. Quantum State Control in Cavity QED

      • T. Wellens, A. Buchleitner

      Pages 351-375

   3. Solving Schrödinger’s Equation for an Open System and Its Environment

      • W. T. Strunz

      Pages 377-392

7. Dynamics of Large Systems

   1. Thermodynamic Behavior of Large Dynamical Systems

      • S. Tasaki

      Pages 395-412

   2. Coherent and Dissipative Transport in Aperiodic Solids: An Overview

      • J. Bellissard

      Pages 413-485

   3. Scaling Limits of Schrödinger Quantum Mechanics

      • L. Erdős

      Pages 487-506

This collection of lectures treats the dynamics of open systems with a strong emphasis on dissipation phenomena related to dynamical chaos. This research area is very broad, covering topics such as nonequilibrium statistical mechanics, environment-system coupling (decoherence) and applications of Markov semi-groups to name but a few. The book addresses not only experienced researchers in the field but also nonspecialists from related areas of research, postgraduate students wishing to enter the field and lecturers searching for advanced textbook material.

• chaos
• decoherence
• dissipation
• nonequilibrium dynamics
• open systems
• quantum system
• semigroups

"The value of this volume is that it helps give students and other researchers a view of ‘the big picture’ in nonequilibrium statistical mechanics." (The Physicist, 40/5, 2003)

• Institute of Physics, University of Zielona Góra, Zielona Góra, Poland

  Piotr Garbaczewski

• Institute of Theoretical Physics, University of Wrocław, Wrocław, Poland

  Robert Olkiewicz

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