Nonextensive Statistical Mechanics and Its Applications

• Corporate Author: SpringerLink (Online service)
• Other Authors: Abe, Sumiyoshi (Editor, http://id.loc.gov/vocabulary/relators/edt), Okamoto, Yuko (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001.
• Edition: 1st ed. 2001.
• Series: Lecture Notes in Physics, 560
• Subjects: Statistical physics.; Dynamical systems.; Thermodynamics.; Complex Systems.; Statistical Physics and Dynamical Systems.

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...

Table of Contents:

• 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.