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Nonextensive Statistical Mechanics and Its Applications

Sumiyoshi Abe, Yuko Okamoto (Herausgeber)

Buch | Hardcover

IX, 278 Seiten

2001 | 2001
Springer Berlin (Verlag)
978-3-540-41208-3 (ISBN)

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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.

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.

"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)

Erscheint lt. Verlag	26.2.2001
Reihe/Serie	Lecture Notes in Physics
Zusatzinfo	IX, 278 p. 9 illus.
Verlagsort	Berlin
Sprache	englisch
Gewicht	585 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
Schlagworte	Biophysics • Entropy • Mechanics • Simulation • thermodynamics
ISBN-10	3-540-41208-5 / 3540412085
ISBN-13	978-3-540-41208-3 / 9783540412083
Zustand	Neuware