Garbaczewski P., Olkiewicz R. (eds.) Dynamics of Dissipation

Springer, 2002. — 505 p. — (Lecture Notes in Physics). — ISBN 3540441115.The present volume contains expanded and substantially reworked records of invited lectures delivered during the 38th Karpacz Winter School of Theoretical Physics on “Dynamical Semigroups: Dissipation, Chaos, Quanta”, which took place in L¸adek Zdr´oj, (Poland) in the period 6–15 February 2002.
The main purpose of the school was to create a platform for the confrontation of viewpoints and research methodologies represented by two groups of experts actually working in the very same area of theoretical physics. This situation is quite distinct in non-equilibrium statistical physics of open systems, where classical and quantum aspects are addressed separately by means of very different and even incompatible formal tools.
The school topics selection by the Lecturers reads: dissipative dynamics and chaotic behaviour, models of environment–system coupling and models of thermostats; non-equilibrium statistical mechanics and far from equilibrium phenomena; quantum open systems, decoherence and links to quantum chaos; quantum and classical applications of Markov semigroups and the validity of Markovian approximations.Introduction
Chapter I Nonequilibrium Dynamics
Some Recent Advances in Classical Statistical Mechanics
Deterministic Thermostats and Fluctuation Relations
What Is the Microscopic Response of a System Driven Far From Equilibrium?
Non-equilibrium Statistical Mechanics of Classical and Quantum Systems
Chapter II Dynamics of Relaxation and Chaotic Behaviour
Dynamical Theory of Relaxation in Classical and Quantum Systems
Relaxation and Noise in Chaotic Systems
Fractal Structures in the Phase Space of Simple Chaotic Systems with Transport
Chapter III Dynamical Semigroups
Markov Semigroups and Their Applications
Invitation to Quantum Dynamical Semigroups
Finite Dissipative Quantum Systems
Complete Positivity in Dissipative Quantum Dynamics
Quantum Stochastic Dynamical Semigroup
Chapter IV Driving, Dissipation and Control in Quantum Systems
Driven Chaotic Mesoscopic Systems, Dissipation and Decoherence
Quantum State Control in Cavity QED
Solving Schr¨odinger’s Equation for an Open System and Its Environment
Chapter V Dynamics of Large Systems
Thermodynamic Behavior of Large Dynamical Systems – Quantum 1d Conductor and Classical Multibaker Map –
Coherent and Dissipative Transport in Aperiodic Solids: An Overview
Scaling Limits of Schr¨odinger Quantum Mechanics
List of Karpacz Schools of Theoretical Physics