Generalized Statistical Thermodynamics : Thermodynamics of Probability Distributions and Stochastic Processes / by Themis Matsoukas

By:

Matsoukas, Themis [VerfasserIn]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Understanding Complex Systems | Springer eBooks Physics and Astronomy | Springer eBook CollectionPublisher: Cham : Springer, 2018Description: 1 Online-Ressource (XXI, 363 p. 57 illus., 55 illus. in color)ISBN:

9783030041496

Subject(s):

Additional physical formats: 9783030041489 | Erscheint auch als: 978-3-030-04148-9 Druck-Ausgabe | Erscheint auch als: Generalized statistical thermodynamics. Druck-Ausgabe Cham : Springer, 2018. xxi, 363 SeitenDDC classification:

530.1 23

MSC: MSC: *82-02 | 82B30 | 82B24 | 60K40 | 60C05 | 62H30 | 82B26 | 82B31 | 82B35 | 82B43 | 80M30 | 97K20 | 97K60LOC classification:

QC174.7-175.36

DOI: DOI: 10.1007/978-3-030-04149-6Online resources:

Summary: 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 ShatteringSummary: 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 engineeringPPN: PPN: 1666727938Package identifier: Produktsigel: ZDB-2-PHA | ZDB-2-SEB | ZDB-2-SXP

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