Nonextensive Statistical Mechanics and Its Applications

C. Tsallis (auth.), Sumiyoshi Abe, Yuko Okamoto (eds.)3540412085, 9783540412083

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.

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Table of contents :
I. Nonextensive Statistical Mechanics and Thermodynamics: Historical Background and Present Status….Pages 3-98
II. Quantum Density Matrix Description of Nonextensive Systems….Pages 99-156
III. Tsallis Theory, the Maximum Entropy Principle, and Evolution Equations….Pages 157-191
IV. ComputationalMetho ds for the Simulation of Classical and Quantum Many Body Systems Arising from Nonextensive Thermostatistics….Pages 193-233
V. Correlation Induced by Nonextensivity and the Zeroth Law of Thermodynamics….Pages 237-242
VI. Dynamic and Thermodynamic Stability of Nonextensive Systems….Pages 243-252
VII. Generalized Simulated Annealing Algorithms Using Tsallis Statistics: Application to ± J Spin Glass Model….Pages 253-258
VIII. Protein Folding Simulations by a Generalized-Ensemble Algorithm Based on Tsallis Statistics….Pages 259-274