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Titlebook: Generalized Statistical Thermodynamics; Thermodynamics of Pr Themis Matsoukas Book 2018 Springer Nature Switzerland AG 2018 statistical the

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发表于 2025-3-21 19:47:05 | 显示全部楼层 |阅读模式
书目名称Generalized Statistical Thermodynamics
副标题Thermodynamics of Pr
编辑Themis Matsoukas
视频video
概述Extends the language of thermodynamics to stochastic processes.Establishes statistical thermodynamics as a field of probability theory.Covers the development of ideas from statistical thermodynamics t
丛书名称Understanding Complex Systems
图书封面Titlebook: Generalized Statistical Thermodynamics; Thermodynamics of Pr Themis Matsoukas Book 2018 Springer Nature Switzerland AG 2018 statistical the
描述.This book gives the definitive mathematical answer to what thermodynamics really is: a variational calculus applied to probability distributions. Extending Gibbs‘s notion of ensemble, the Author imagines the ensemble of all possible probability distributions and assigns probabilities to them by selection rules that are fairly general. The calculus of the most probable distribution in the ensemble produces the entire network of mathematical relationships we recognize as thermodynamics. ..The first part of the book develops the theory for discrete and continuous distributions while the second part applies this thermodynamic calculus to problems in population balance theory and shows how the emergence of a giant component in aggregation, and the shattering transition in fragmentation may be treated as formal phase transitions...While the book is intended as a research monograph, the material is self-contained and the style sufficiently tutorial to be accessible forself-paced study by an advanced graduate student in such fields as physics, chemistry, and engineering..
出版日期Book 2018
关键词statistical thermodynamics; population balances; The Giant Cluster; thermodynamics of continuous distri
版次1
doihttps://doi.org/10.1007/978-3-030-04149-6
isbn_ebook978-3-030-04149-6Series ISSN 1860-0832 Series E-ISSN 1860-0840
issn_series 1860-0832
copyrightSpringer Nature Switzerland AG 2018
The information of publication is updating

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Kinetic Gelation, The classical symptom of gelation is the breakdown of the Smoluchowski equation: within finite time the mean cluster size diverges and the Smoluchowski equation ceases to conserve mass. Gelation has the qualitative features of a phase transition and is often discussed qualitatively in the thermodynamic language of phase equilibrium.
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Book 2018ending Gibbs‘s notion of ensemble, the Author imagines the ensemble of all possible probability distributions and assigns probabilities to them by selection rules that are fairly general. The calculus of the most probable distribution in the ensemble produces the entire network of mathematical relat
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The Cluster Ensemble,a probability measure over it. This probability space of distributions will be called . and forms the basis for the development of generalized thermodynamics. In Chap. . we will reformulate the theory on the basis of a more abstract space of distributions.
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