Tuesday, September 27, 2011

Quantum Thermodynamics

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Authors: Jochen Gemmer, M. Michel, Günter Mahler 
Publisher: Springer; 2nd ed. edition 2009
ISBN-10: 3540705090
Type: PDF
Pages: 332
Size: 3.26 MB


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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