โ Scribed by C. Tsallis (auth.), Sumiyoshi Abe, Yuko Okamoto (eds.)
No coin nor oath required. For personal study only.
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.
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 ยฑ J Spin Glass Model....Pages 253-258
VIII. Protein Folding Simulations by a Generalized-Ensemble Algorithm Based on Tsallis Statistics....Pages 259-274
Statistical Physics; Thermodynamics
๐ SIMILAR VOLUMES
<span>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-f
The book is devoted to the mathematical foundations of nonextensive statistical mechanics. This is the first book containing the systematic presentation of the mathematical theory and concepts related to nonextensive statistical mechanics, a current generalization of Boltzmann-Gibbs statistical mech
<p><span>This book focuses on nonextensive statistical mechanics, a current generalization of Boltzmann-Gibbs (BG) statistical mechanics.</span></p><p><span>Conceived nearly 150 years ago by Maxwell, Boltzmann and Gibbs, the BG theory, one of the greatest monuments of contemporary physics, exhibits
<p><P>This book focuses on nonextensive statistical mechanics, a current generalization of Boltzmann-Gibbs (BG) statistical mechanics, one of the greatest monuments of contemporary physics. Conceived more than 130 years ago by Maxwell, Boltzmann and Gibbs, the BG theory exhibits many impressive succ
<p><P>This book focuses on nonextensive statistical mechanics, a current generalization of Boltzmann-Gibbs (BG) statistical mechanics, one of the greatest monuments of contemporary physics. Conceived more than 130 years ago by Maxwell, Boltzmann and Gibbs, the BG theory exhibits many impressive succ