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Statistical Physics of Non-Thermal Phase Transitions

From Foundations to Applications

  • Book
  • © 2015

Overview

Authors:
  1. Sergey G. Abaimov

    1. Skolkovo Institute of Science and Technology, Advanced Structures, Processes and Engineered Materials Center, Skolkovo, Russia

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  • Presents a systematic approach to build analogies between complex systems' behavior and statistical physics
  • Directly addresses questions of the applicability of statistical physics to complex systems
  • Contains many exercises and is richly illustrated
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Series in Synergetics (SSSYN)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Fractals

    • Sergey G. Abaimov
    Pages 1-53

  3. Ensemble Theory in Statistical Physics: Free Energy Potential

    • Sergey G. Abaimov
    Pages 55-147

  4. The Ising Model

    • Sergey G. Abaimov
    Pages 149-223

  5. The Theory of Percolation

    • Sergey G. Abaimov
    Pages 225-257

  6. Damage Phenomena

    • Sergey G. Abaimov
    Pages 259-288

  7. Correlations, Susceptibility, and the Fluctuation–Dissipation Theorem

    • Sergey G. Abaimov
    Pages 289-364

  8. The Renormalization Group

    • Sergey G. Abaimov
    Pages 365-419

  9. Scaling: The Finite-Size Effect and Crossover Effects

    • Sergey G. Abaimov
    Pages 421-493

  10. Back Matter

    Pages 495-497
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Keywords

About this book

This book addresses the application of methods used in statistical physics to complex systems—from simple phenomenological analogies to more complex aspects, such as correlations, fluctuation-dissipation theorem, the concept of free energy, renormalization group approach and scaling. Statistical physics contains a well-developed formalism that describes phase transitions. It is useful to apply this formalism for damage phenomena as well. Fractals, the Ising model, percolation, damage mechanics, fluctuations, free energy formalism, renormalization group, and scaling, are some of the topics covered in Statistical Physics of Phase Transitions.

Reviews

“The present book in which one shows that fractals are pervasive everywhere in the Ising model, percolation, damage phenomena, renormalization group and scaling. … The chapters are almost self-containing. It is a nice book quite suitable for a personal library.” (Guy Jumarie, zbMATH, Vol.1325.82001, 2015)

Authors and Affiliations

  • Skolkovo Institute of Science and Technology, Advanced Structures, Processes and Engineered Materials Center, Skolkovo, Russia

    Sergey G. Abaimov

Bibliographic Information

  • Book Title: Statistical Physics of Non-Thermal Phase Transitions

  • Book Subtitle: From Foundations to Applications

  • Authors: Sergey G. Abaimov

  • Series Title: Springer Series in Synergetics

  • DOI: https://doi.org/10.1007/978-3-319-12469-8

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-12468-1Published: 09 June 2015

  • Softcover ISBN: 978-3-319-35528-3Published: 09 October 2016

  • eBook ISBN: 978-3-319-12469-8Published: 18 May 2015

  • Series ISSN: 0172-7389

  • Series E-ISSN: 2198-333X

  • Edition Number: 1

  • Number of Pages: XIV, 497

  • Number of Illustrations: 142 b/w illustrations, 2 illustrations in colour

  • Additional Information: Original Russian edition published by Editorial URSS, Moscow, 2011

  • Topics: Complex Systems, Complexity, Phase Transitions and Multiphase Systems, Statistical Physics and Dynamical Systems

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