Generalised Thermostatistics (eBook)

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eBook Download: PDF
2011 | 2011
XI, 201 Seiten
Springer London (Verlag)
978-0-85729-355-8 (ISBN)

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Generalised Thermostatistics - Jan Naudts
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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
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