Format:
1 Online-Ressource (XXI, 363 p. 57 illus., 55 illus. in color)
ISBN:
9783030041496
Series Statement:
Understanding Complex Systems
Content:
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
Content:
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
Additional Edition:
ISBN 9783030041489
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 978-3-030-04148-9
Additional Edition:
Erscheint auch als Druck-Ausgabe Matsoukas, Themis Generalized statistical thermodynamics Cham : Springer, 2018 ISBN 3030041484
Additional Edition:
ISBN 9783030041489
Language:
English
Keywords:
Statistische Thermodynamik
DOI:
10.1007/978-3-030-04149-6
