Generalized Statistical Thermodynamics - Thermodynamics of Probability Distributions and Stochastic Processes (Hardcover, 1st ed. 2018)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Understanding Complex Systems
Release date:	May 2019
First published:	2018
Authors:	Themis Matsoukas
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	363
Edition:	1st ed. 2018
ISBN-13:	978-3-03-004148-9
Categories:	Books > Reference & Interdisciplinary > Communication studies > Coding theory & cryptology Books > Science & Mathematics > Mathematics > Probability & statistics Books > Reference & Interdisciplinary > Communication studies > Information theory > General Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Thermodynamics Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Statistical physics Books > Professional & Technical > Industrial chemistry & manufacturing technologies > Industrial chemistry > General Promotions
LSN:	3-03-004148-4
Barcode:	9783030041489

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