Nonextensive Statistical Mechanics and Its Applications
Published on 26. February 2001
Book
Hardback
IX, 278 pages
978-3-540-41208-3 (ISBN)
Description
Nonextensive statistical mechanics is now a rapidly growing field and a new stream in the research of the foundations of statistical mechanics. This generalization of the well-known Boltzmann--Gibbs theory enables the study of systems with long-range interactions, long-term memories or multi-fractal structures. This book consists of a set of self-contained lectures and includes additional contributions where some of the latest developments -- ranging from astro- to biophysics -- are covered. Addressing primarily graduate students and lecturers, this book will also be a useful reference for all researchers working in the field.
Reviews / Votes
"This is an extremely interesting book that consists of a set of articles based on the generalization of entropic measure introduced be C. Tsallis. [...] Topics examined in the book cover a wide variety of interesting material such as classical and quantum many body systems, thermodynamic systems, applications to spin glass models and to protein folding. All of these can be read even by the non-expert relatively easily after the basic concepts [...] have been assimilated. This is a book that will be useful to many people and I can positively recommend it." (Brian L. Burrows, Mathematical Reviews 2002m)
More details
Series
Edition
2001 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
9 s/w Abbildungen
IX, 278 p. 9 illus.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 21 mm
Weight
606 gr
ISBN-13
978-3-540-41208-3 (9783540412083)
DOI
10.1007/3-540-40919-X
Schweitzer Classification
Other editions
Additional editions
Sumiyoshi Abe | Yuko Okamoto
Nonextensive Statistical Mechanics and Its Applications
Book
12/2010
Springer
€106.99
Shipment within 7-9 days
Content
Lectures on Nonextensive Statistical Mechanics.- I. Nonextensive Statistical Mechanics and Thermodynamics: Historical Background and Present Status.- II. Quantum Density Matrix Description of Nonextensive Systems.- III. Tsallis Theory, the Maximum Entropy Principle, and Evolution Equations.- IV. ComputationalMetho ds for the Simulation of Classical and Quantum Many Body Systems Arising from Nonextensive Thermostatistics.- Further Topics.- V. Correlation Induced by Nonextensivity and the Zeroth Law of Thermodynamics.- VI. Dynamic and Thermodynamic Stability of Nonextensive Systems.- VII. Generalized Simulated Annealing Algorithms Using Tsallis Statistics: Application to ±J Spin Glass Model.- VIII. Protein Folding Simulations by a Generalized-Ensemble Algorithm Based on Tsallis Statistics.