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Generalized statistical thermodynami...

Matsoukas, Themis.

Generalized statistical thermodynamicsthermodynamics of probability distributions and stochastic processes /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Generalized statistical thermodynamicsby Themis Matsoukas.
其他題名:	thermodynamics of probability distributions and stochastic processes /
作者:	Matsoukas, Themis.
出版者:	Cham :Springer International Publishing :2018.
面頁冊數:	xxi, 363 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	Statistical thermodynamics.
電子資源:	https://doi.org/10.1007/978-3-030-04149-6
ISBN:	9783030041496$q(electronic bk.)

Generalized statistical thermodynamicsthermodynamics of probability distributions and stochastic processes /
Matsoukas, Themis.

Generalized statistical thermodynamicsthermodynamics of probability distributions and stochastic processes /[electronic resource] :by Themis Matsoukas. - Cham :Springer International Publishing :2018. - xxi, 363 p. :ill. (some col.), digital ;24 cm. - Understanding complex systems,1860-0832. - Understanding complex systems..

Chapter1: Evolution of Ideas on Entropy -- Chapter2: The Cluster Ensemble -- Chapter3: Thermodynamic Limit (ThL) -- Chapter4: The Most Probable Distribution in the Continuous Limit.-Chapter5: Phase Transitions - The Giant Cluster -- Chapter6: The Bicomponent Ensemble -- Chapter7: Generalized Thermodynamics -- Chapter8: Irreversible Clustering -- Chapter9: Kinetic Gelation -- Chapter10: Fragmentation and Shattering.

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 for self-paced study by an advanced graduate student in such fields as physics, chemistry, and engineering.

ISBN: 9783030041496$q(electronic bk.)

Standard No.: 10.1007/978-3-030-04149-6doiSubjects--Topical Terms:

191593
Statistical thermodynamics.

LC Class. No.: QC311.5

Dewey Class. No.: 536.70727

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505 0 $a Chapter1: Evolution of Ideas on Entropy -- Chapter2: The Cluster Ensemble -- Chapter3: Thermodynamic Limit (ThL) -- Chapter4: The Most Probable Distribution in the Continuous Limit.-Chapter5: Phase Transitions - The Giant Cluster -- Chapter6: The Bicomponent Ensemble -- Chapter7: Generalized Thermodynamics -- Chapter8: Irreversible Clustering -- Chapter9: Kinetic Gelation -- Chapter10: Fragmentation and Shattering.
520 $a 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 for self-paced study by an advanced graduate student in such fields as physics, chemistry, and engineering.
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