[Lecture Notes in Physics] Nonextensive Statistical Mechanics and Its Applications Volume 560 || III. Tsallis Theory, the Maximum Entropy Principle, and Evolution Equations

✍ Scribed by Abe, Sumiyoshi; Okamoto, Yuko

• Book ID: 115515329
• Publisher: Springer Berlin Heidelberg
• Year: 2001
• Tongue: German
• Weight: 325 KB
• Edition: 2001
• Category: Article
• ISBN: 3540412085
• DOI: 10.1007/3-540-40919-x_3

✦ Synopsis

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. From The Content: Parti: Nonextensive Statistical Mechanics And Thermodynamics: Historical Background And Present Status -- Quantum Density Matrix Description Of Nonextensive Systems -- Tsallis Theory, The Maximum Entropy Principle, And Evolution Equations -- Computational Methods For The Simulation Of Classical And Quantum Manybody Systems Sprung From The Nonextensive Thermostatistics -- Part Ii: Correlation Induced By Nonextensivity And The Zeroth Law Of Thermodynamics -- Dynamic And Thermodynamic Stability Of Nonextensive Systems -- Generalized Simulated Annealing Algorithms Using Tsallis Statistics: Application To Spin Glass Model -- Protein Folding Simulations By A Generalize-ensemble Algorithm Based On Tsallis Statistics. Sumiyoshi Abe, Yuko Okamoto, Eds. Includes Bibliographical References And Index.