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Titlebook: Generalised Thermostatistics; Jan Naudts Book 2011 Springer-Verlag London Limited 2011 Exponential family of statistical models.Microcanon

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发表于 2025-3-21 19:01:39 | 显示全部楼层 |阅读模式
书目名称Generalised Thermostatistics
编辑Jan Naudts
视频video
概述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 r
图书封面Titlebook: Generalised Thermostatistics;  Jan Naudts Book 2011 Springer-Verlag London Limited 2011 Exponential family of statistical models.Microcanon
描述.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
出版日期Book 2011
关键词Exponential family of statistical models; Microcanonical ensemble; Nonextensive thermostatistics; Tsall
版次1
doihttps://doi.org/10.1007/978-0-85729-355-8
isbn_softcover978-1-4471-5742-7
isbn_ebook978-0-85729-355-8
copyrightSpringer-Verlag London Limited 2011
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ted with pointers to application-based references.Provides r.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
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https://doi.org/10.1007/978-1-349-09170-6unity because of their appearance in the theory of fractal measures a digression in this direction is included. It is shown that the thermodynamic formalism of fractals fits into the standard non-deformed formalism of statistical mechanics. The Sharma-Mittal entropy functions are mentioned at the end of the chapter.
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Probability Distributions in Statistical Physicss, or in a first course for more mathematically oriented students. The contents is fairly traditional, but is usually dispersed over many chapters. By bringing the material together in one chapter the relation between the distinct distributions is clarified.
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Expected Target of Polymer SimulationThe parameters of a statistical model can themselves be stochastic variables. This leads to the notion of hyperensembles. Superstatistics is a recent development in this direction. But here, the approach is used to derive the canonical ensemble from the microcanonical one.
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