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Understanding Complex Systems

Generalized Statistical Thermodynamics

Thermodynamics of Probability Distributions and Stochastic Processes

Authors: Matsoukas, Themis

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  • Extends the language of thermodynamics to stochastic processes
  • Establishes statistical thermodynamics as a field of probability theory
  • Covers the development of ideas from statistical thermodynamics to information theory and maximum entropy
  • Appeals to researchers and academics working in statistical mechanics, stochastic processes, percolation, and complex systems
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  • ISBN 978-3-030-04149-6
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About this book

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.



About the authors

Themis Matsoukas is a professor of chemical engineering at Penn State. He has taught graduate and undergraduate courses in chemical thermodynamics for over 20 years and is the author of an undergraduate textbook on the Fundamentals of Chemical Engineering Thermodynamics (2012, Prentice Hall). His research focuses on nano-colloidal systems and in the application of stochastic methods to  population balance models  He has been recognized with several awards at Penn State, including the George W. Atherton Award for excellence in Teaching and the Outstanding Teaching Award from the Penn State Engineering Society. He received his undergraduate degree from the National Technical University of Athens, Greece, and his PhD from the University of Michigan, both in chemical engineering


Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook 106,99 €
price for Spain (gross)
  • ISBN 978-3-030-04149-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 135,19 €
price for Spain (gross)
  • ISBN 978-3-030-04148-9
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Generalized Statistical Thermodynamics
Book Subtitle
Thermodynamics of Probability Distributions and Stochastic Processes
Authors
Series Title
Understanding Complex Systems
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-04149-6
DOI
10.1007/978-3-030-04149-6
Hardcover ISBN
978-3-030-04148-9
Series ISSN
1860-0832
Edition Number
1
Number of Pages
XXI, 363
Number of Illustrations
2 b/w illustrations, 55 illustrations in colour
Topics

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