Generalized Statistical Thermodynamics
Matsoukas, Themis
Produktnummer:
1862ce560fa53048f1985d483996d249b4
Autor: | Matsoukas, Themis |
---|---|
Themengebiete: | The Giant Cluster bicomponent populations binary aggregation population balances statistical thermodynamics the cluster ensemble thermodynamics of continuous distributions |
Veröffentlichungsdatum: | 20.05.2019 |
EAN: | 9783030041489 |
Sprache: | Englisch |
Seitenzahl: | 363 |
Produktart: | Gebunden |
Verlag: | Springer International Publishing |
Untertitel: | Thermodynamics of Probability Distributions and Stochastic Processes |
Produktinformationen "Generalized Statistical Thermodynamics"
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.

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