The domain of non-extensive thermostatistics has been subject to intensive research over the past twenty years and has matured significantly. Generalised Thermostatistics cuts through the traditionalism of many statistical physics texts by offering a fresh perspective and seeking to remove elements of doubt and confusion surrounding the area. The book is divided into two parts - the first covering topics from conventional statistical physics, whilst adopting the perspective that statistical physics is statistics applied to physics. The second developing the formalism of non-extensive thermostatistics, of which the central role is played by the notion of a deformed exponential family of probability distributions. Presented in a clear, consistent, and deductive manner, the book focuses on theory, part of which is developed by the author himself, but also provides a number of references towards application-based texts. Written by a leading contributor in the field, this book will provide a useful toolfor learning about recent developments in generalized versions of statisticalmechanics and thermodynamics, especially with respect to self-study. Written for researchers in theoretical physics, mathematics and statistical mechanics,as well as graduates of physics, mathematics or engineering. A prerequisite knowledge of elementary notions of statistical physics and a substantial mathematical background are required. This book is the first to present the recent progress in generalising the well-established idioms of statistical physics. Theory is supplemented with pointers to application-based references. Provides readers with the opportunity to learn in a systematic manner about q-deformed exponential and logarithmic functions, their role in Tsallis' nonextensive thermostatistics, and how everything fits into a more general mathematical formalism. INDICE: Parameter estimation. Statistical Models. Thermodynamic Equilibrium. The Microcanonical Ensemble. Hyperensembles. The Mean Field Approximation. q-Deformed Distributions. Tsallis’ Thermostatistics. Changes of Scale. Generaldeformations. General Entropies.
- ISBN: 978-0-85729-354-1
- Editorial: Springer London
- Encuadernacion: Cartoné
- Páginas: 199
- Fecha Publicación: 15/02/2011
- Nº Volúmenes: 1
- Idioma: Inglés