Prinzipien der Thermodynamik und Statist
β E. A. Guggenheim (auth.), S. FlΓΌgge (eds.)
π Library
π
1959
π Springer-Verlag Berlin Heidelberg
β¦ LIBER β¦
π
Generalized Statistical Thermodynamics: Thermodynamics of Probability Distributions and Stochastic Processes
β Scribed by Themis Matsoukas
- Publisher
- Springer International Publishing
- Year
- 2018
- Tongue
- English
- Leaves
- 373
- Series
- Understanding Complex Systems
- Edition
- 1st ed.
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
β¦ Table of Contents
Front Matter ....Pages i-xxi
Evolution of Ideas on Entropy (Themis Matsoukas)....Pages 1-21
The Cluster Ensemble (Themis Matsoukas)....Pages 23-64
Thermodynamic Limit (ThL) (Themis Matsoukas)....Pages 65-97
The Most Probable Distribution in the Continuous Limit (Themis Matsoukas)....Pages 99-123
Phase Transitions: The Giant Cluster (Themis Matsoukas)....Pages 125-161
The Bicomponent Ensemble (Themis Matsoukas)....Pages 163-195
Generalized Thermodynamics (Themis Matsoukas)....Pages 197-239
Irreversible Clustering (Themis Matsoukas)....Pages 241-287
Kinetic Gelation (Themis Matsoukas)....Pages 289-323
Fragmentation and Shattering (Themis Matsoukas)....Pages 325-348
Back Matter ....Pages 349-363
β¦ Subjects
Physics; Statistical Physics and Dynamical Systems; Coding and Information Theory; Probability Theory and Stochastic Processes; Industrial Chemistry/Chemical Engineering
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