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Statistical Physics of Non-Thermal Phase Transitions

From Foundations to Applications

  • Sergey G. Abaimov

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

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Sergey G. Abaimov
    Pages 1-53
  3. Sergey G. Abaimov
    Pages 149-223
  4. Sergey G. Abaimov
    Pages 225-257
  5. Sergey G. Abaimov
    Pages 259-288
  6. Sergey G. Abaimov
    Pages 365-419
  7. Back Matter
    Pages 495-497

About this book

Introduction

Statistical physics can be used to better understand non-thermal complex systems—phenomena such as stock-market crashes, revolutions in society and in science, fractures in engineered materials and in the Earth’s crust, catastrophes, traffic jams, petroleum clusters, polymerization, self-organized criticality and many others exhibit behaviors resembling those of thermodynamic systems. In particular, many of these systems possess phase transitions identical to critical or spinodal phenomena in statistical physics. The application of the well-developed formalism of statistical physics to non-thermal complex systems may help to predict and prevent such catastrophes as earthquakes, snow-avalanches and landslides, failure of engineering structures, or economical crises.

This book addresses the issue step-by-step, from phenomenological analogies between complex systems and statistical physics to more complex aspects, such as correlations, fluctuation-dissipation theorem, susceptibility, the concept of free energy, renormalization group approach and scaling. Fractals and multifractals, the Ising model, percolation, damage phenomena, critical and spinodal phase transitions, crossover effects and finite-size effects are some of the topics covered in Statistical Physics of Non-Thermal Phase Transitions.

Keywords

Damage Mechanics Model Fluctuation Dissipation Theorem Susceptibility Free Energy Formalism Ising Model Tutorial Percolation Theory Complex System Renormalization Group Ising Model Scaling and Renormalization

Authors and affiliations

  • Sergey G. Abaimov
    • 1
  1. 1.Skolkovo Institute of Science and TechnologyAdvanced Structures, Processes and Engineered Materials CenterSkolkovoRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-12469-8
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-12468-1
  • Online ISBN 978-3-319-12469-8
  • Series Print ISSN 0172-7389
  • Series Online ISSN 2198-333X
  • Buy this book on publisher's site