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Applications of Percolation Theory

Authors:

  • 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
  2. Extensions of the Classical Percolation Model

    • Muhammad Sahimi
    Pages 33-53
  3. Connectivity of Fracture and Fault Networks

    • Muhammad Sahimi
    Pages 85-100
  4. Earthquakes, Critical Phenomena, and Percolation

    • Muhammad Sahimi
    Pages 101-116
  5. Multiphase Fluid Flow in Porous Media

    • Muhammad Sahimi
    Pages 175-207
  6. Percolation in Evolving Media

    • Muhammad Sahimi
    Pages 209-243
  7. Vector Percolation and Rigidity of Materials

    • Muhammad Sahimi
    Pages 245-277
  8. Transport Properties of Composite Materials

    • Muhammad Sahimi
    Pages 279-329
  9. Hopping Conductivity of Heterogeneous Materials

    • Muhammad Sahimi
    Pages 389-418
  10. Applications of Invasion Percolation

    • Muhammad Sahimi
    Pages 419-434
  11. Percolation in Biological Systems

    • Muhammad Sahimi
    Pages 443-488

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

Buy it now

Buying options

eBook USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access