Dynamics of Dissipation

Piotr Garbaczewski, Robert Olkiewicz (auth.), Piotr Garbaczewski, Robert Olkiewicz (eds.)3540441115, 9783540441113

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.

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Table of contents :
Introduction….Pages 1-4
Some Recent Advances in Classical Statistical Mechanics….Pages 7-33
Deterministic Thermostats and Flctuation Relations….Pages 35-61
What Is the Microscopic Response of a System Driven Far From Equilibrium?….Pages 63-82
Non-equilibrium Statistical Mechanics of Classical and Quantum Systems….Pages 83-108
Dynamical Theory of Relaxation in Classical and Quantum Systems….Pages 111-163
Relaxation and Noise in Chaotic Systems….Pages 165-192
Fractal Structures in the Phase Space of Simple Chaotic Systems with Transport….Pages 193-212
Markov Semigroups and Their Applications….Pages 215-238
Invitation to Quantum Dynamical Semigroups….Pages 239-264
Finite Dissipative Quantum Systems….Pages 265-281
Complete Positivity in Dissipative Quantum Dynamics….Pages 283-304
Quantum Stochastic Dynamical Semigroup….Pages 305-313
Driven Chaotic Mesoscopic Systems, Dissipation and Decoherence….Pages 317-350
Quantum State Control in Cavity QED….Pages 351-375
Solving Schrödinger’s Equation for an Open System and Its Environment….Pages 377-392
Thermodynamic Behavior of Large Dynamical Systems….Pages 395-412
Coherent and Dissipative Transport in Aperiodic Solids: An Overview….Pages 413-485
Scaling Limits of Schrödinger Quantum Mechanics….Pages 487-506