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Applications of Percolation Theory

  • Book
  • © 2023
  • Latest edition

Overview

Authors:
  1. Muhammad Sahimi

    1. Department of Chemical Engineering and Materials Science, University of Southern California, Los Angeles, USA

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  • Describes concisely essentials of percolation theory and its variants
  • Accessible to both experts and non-experts
  • Describes a very large number of applications of percolation theory, including to many practical problems

Part of the book series: Applied Mathematical Sciences (AMS, volume 213)

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-xxi
    Download chapter PDF

  2. Macroscopic Connectivity as the Essential Characteristic of Heterogeneous Systems

    • Muhammad Sahimi
    Pages 1-6

  3. Percolation Theory: Classical and Poor Man’s

    • Muhammad Sahimi
    Pages 7-32

  4. Extensions of the Classical Percolation Model

    • Muhammad Sahimi
    Pages 33-53

  5. Characterization of Porous Media and Materials

    • Muhammad Sahimi
    Pages 55-84

  6. Connectivity of Fracture and Fault Networks

    • Muhammad Sahimi
    Pages 85-100

  7. Earthquakes, Critical Phenomena, and Percolation

    • Muhammad Sahimi
    Pages 101-116

  8. Flow and Transport Properties of Porous Materials

    • Muhammad Sahimi
    Pages 117-153

  9. Mixing and Dispersion in Flow Through Porous Media

    • Muhammad Sahimi
    Pages 155-174

  10. Multiphase Fluid Flow in Porous Media

    • Muhammad Sahimi
    Pages 175-207

  11. Percolation in Evolving Media

    • Muhammad Sahimi
    Pages 209-243

  12. Vector Percolation and Rigidity of Materials

    • Muhammad Sahimi
    Pages 245-277

  13. Transport Properties of Composite Materials

    • Muhammad Sahimi
    Pages 279-329

  14. Rheology and Elastic Properties of Network Glasses, Branched Polymers, and Gels

    • Muhammad Sahimi
    Pages 331-364

  15. Vibrational Density of States of Heterogeneous Materials

    • Muhammad Sahimi
    Pages 365-387

  16. Hopping Conductivity of Heterogeneous Materials

    • Muhammad Sahimi
    Pages 389-418

  17. Applications of Invasion Percolation

    • Muhammad Sahimi
    Pages 419-434

  18. Percolation in Random Graphs and Complex Networks

    • Muhammad Sahimi
    Pages 435-442

  19. Percolation in Biological Systems

    • Muhammad Sahimi
    Pages 443-488

  20. Percolation Theory, Ecology, Hydrology, and Geochemistry

    • Muhammad Sahimi
    Pages 489-515
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Keywords

About this book

The first edition of this book was published in 1994. Since then considerable progress has been made in both theoretical developments of percolation theory, and in its applications. The 2nd edition of this book is a response to such developments. Not only have all of the chapters of the 1st edition  been completely rewritten, reorganized, and updated all the way to 2022, but also 8 new chapters have been added that describe extensive new applications, including biological materials, networks and graphs, directed percolation, earthquakes, geochemical processes, and large-scale real world problems, from spread of technology to ad-hoc mobile networks.

Authors and Affiliations

  • Department of Chemical Engineering and Materials Science, University of Southern California, Los Angeles, USA

    Muhammad Sahimi

Bibliographic Information

  • Book Title: Applications of Percolation Theory

  • Authors: Muhammad Sahimi

  • Series Title: Applied Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-3-031-20386-2

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023

  • Hardcover ISBN: 978-3-031-20385-5Published: 19 March 2023

  • Softcover ISBN: 978-3-031-20388-6Published: 20 March 2024

  • eBook ISBN: 978-3-031-20386-2Published: 18 March 2023

  • Series ISSN: 0066-5452

  • Series E-ISSN: 2196-968X

  • Edition Number: 2

  • Number of Pages: XXI, 680

  • Number of Illustrations: 121 b/w illustrations, 36 illustrations in colour

  • Topics: Mathematical Physics

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