Introduction to nonextensive statistical mechanics: approaching a complex world

Metaphors, generalizations and unifications are natural and desirable ingredients of the evolution of scientific theories and concepts. Physics, in particular, obviously walks along these paths since its very beginning. 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 uncountable – some of them impressive – successes in physics, chemistry, mathematics, and computational sciences, to name a few. Presently, more than two thousand publications, by over 1800 scientists aroundthe world, have been dedicated to the nonextensive generalization. Remarkableapplications have emerged, and its mathematical grounding is by now relatively well established. Generalization of the ubiquitous Boltzmann-Gibbs theory First pedagogical book on the subject, written by the proponent of the theory Many applications to interdisciplinary complex phenomena in virtually all sciences, ranging from physics to medicine, from economics to biology, through signal and image processing and others Detailed derivation of results Many detailedillustrations INDICE: Preface.- Historical Background and Physical Motivations.- Learning with Boltzmann-Gibbs Statistical Mechanics.- Generalizing what we Learnt: Nonextensive Statistical Mechanics.- Stochastic Dynamical Foundations of Nonextensive Statistical Mechanics.- Deterministic Dynamical Foundations of Nonextensive Statistical Mechanics.- Generalizing Nonextensive Statistical Mechanics.- Thermodynamical and Non-Thermodynamical Applications.- Final Comments and Perspectives.- Appendix A: Useful Mathematical Formulae.- Appendix B: On the Extensivity of Sq for N correlated Binary Subsystems.- Appendix C: On the Extensivity of Sq for N correlated Ternary Subsystems.- On the Extensivity of Sq for N correlated Continuous Subsystems.

• ISBN: 978-0-387-85358-1
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 510
• Fecha Publicación: 01/02/2009
• Nº Volúmenes: 1
• Idioma: Inglés