Generalised Thermostatistics (eBook)
XI, 201 Seiten
Springer London (Verlag)
978-0-85729-355-8 (ISBN)
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 tool for learning about recent developments in generalized versions of statistical mechanics 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.
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 tool for learning about recent developments in generalized versions of statistical mechanics 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.
Parameter estimation.- Statistical Models.- Thermodynamic Equilibrium.- The Microcanonical Ensemble.- Hyperensembles.- The Mean Field Approximation.- q-Deformed Distributions.- Tsallis’ Thermostatistics.- Changes of Scale.- General deformations.- General Entropies
| Erscheint lt. Verlag | 7.2.2011 |
|---|---|
| Zusatzinfo | XI, 201 p. |
| Verlagsort | London |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik |
| Naturwissenschaften ► Physik / Astronomie ► Thermodynamik | |
| Technik | |
| Schlagworte | Exponential family of statistical models • Microcanonical ensemble • Nonextensive thermostatistics • q-deformed exponential functions • q-deformed logarithmic functions • Tsallis entropy |
| ISBN-10 | 0-85729-355-9 / 0857293559 |
| ISBN-13 | 978-0-85729-355-8 / 9780857293558 |
| Haben Sie eine Frage zum Produkt? |
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