Authors: Jochen Gemmer, M. Michel, Günter Mahler
Publisher: Springer; 2nd ed. edition 2009
ISBN-10: 3540705090
Type: PDF
Pages: 332
Size: 3.26 MB
Description:
This introductory text treats thermodynamics as an incomplete description of quantum systems with many degrees of freedom. Its main goal is to show that the approach to equilibrium - with equilibrium characterized by maximum ignorance about the open system of interest - neither requires that many particles nor is the precise way of partitioning, relevant for the salient features of equilibrium and equilibration. Furthermore, the text depicts that it is indeed quantum effects that are at work in bringing about thermodynamic behavior of modest-sized open systems, thus making Von Neumann’s concept of entropy appear much more widely useful than sometimes feared, far beyond truly macroscopic systems in equilibrium.
This significantly revised and expanded second edition pays more attention to the growing number of applications, especially non-equilibrium phenomena and thermodynamic processes of the nano-domain. In addition, to improve readability and reduce unneeded technical details, a large portion of this book has been thoroughly rewritten.
Table of Contents:
Part I Background
Chapter 1: Introduction
Chapter 2: Basics of Quantum Mechanics
Chapter 3: Basics of Thermodynamics and Statistics
Chapter 4: Brief Review of Pertinent Concepts
Part II Equilibrium
Chapter 5: The Program for the Foundation of Thermodynamics
Chapter 6: Outline of the Present Approach
Chapter 7: Dynamics and Averages in Hilbert Space
Chapter 8: Typicality of Observables and States
Chapter 9: System and Environment
Chapter 10: The Typical Reduced State of the System
Chapter 11: Entanglement, Correlations, and Local Entropy
Chapter 12: Generic Spectra of Large Systems
Chapter 13: Temperature
Chapter 14: Pressure and Adiabatic Processes
Chapter 15: Quantum Mechanical and Classical State Densities
Chapter 16: Equilibration in Model Systems
Part III Non-equilibrium
Chapter 17: Brief Review of Relaxation and Transport Theories
Chapter 18: Projection Operator Techniques and Hilbert Space Average Method
Chapter 19: Finite Systems as Thermostats
Chapter 20: Projective Approach to Dynamical Transport
Chapter 21: Open System Approach to Transport
Part IV Applications and Models
Chapter 22: Purity and Local Entropy in Product Hilbert Space
Chapter 23: Observability of Intensive Variables
Chapter 24: Observability of Extensive Variables
Chapter 25: Quantum Thermodynamic Processes
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