Overview
- Presents the essential elements of percolation theory
- Provides a clear description of the geometry of percolation clusters of the connected paths
- Details important applications to a range of phenomena
Part of the book series: Encyclopedia of Complexity and Systems Science Series (ECSSS)
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Table of contents (20 entries)
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Front Matter
Keywords
About this book
There are many applications of percolation theory across the natural sciences, from porous materials, to composite solids, complex networks, and biological systems. This book presents the essential elements of percolation theory, covers the problem of calculating the exponents that characterize the power laws that the percolation quantities follow near the percolation threshold, provides a clear description of the geometry of percolation clusters of the connected paths, and addresses several variations of percolation theory. In particular, bootstrap percolation, explosive percolation, and invasion percolation are featured, which expand the range of natural systems to which percolation may be applicable. In addition, coverage includes several important applications of percolation theory to a range of phenomena, ranging from electrical conductivity, thermopower, the Hall effect, and photoconductivity of disordered semiconductors, to flow, transport and reaction in porous media, geochemistry, biology, and ecology.
Editors and Affiliations
About the editors
Allen Hunt is appointed jointly in Physics and the Earth & Environmental Sciences Departments at Wright State University. He is author or editor of 5 books with 200 publications. His interests are currently in problems of environmental science with strong physics component, typically referenced to transport in disordered systems as addressed in percolation theory. An example is the ability to forecast the fate of precipitation falling on the continents, whether evapotranspiration or run-off (called the water balance). His teaching has been recognized by the Latter-DaySaints Student Association while teaching in a community college and, at Wright State, by election to Who's Who Among American Teachers.
Bibliographic Information
Book Title: Complex Media and Percolation Theory
Editors: Muhammad Sahimi, Allen G. Hunt
Series Title: Encyclopedia of Complexity and Systems Science Series
DOI: https://doi.org/10.1007/978-1-0716-1457-0
Publisher: Springer New York, NY
eBook Packages: Physics and Astronomy, Reference Module Physical and Materials Science, Reference Module Chemistry, Materials and Physics
Copyright Information: Springer Science+Business Media, LLC, part of Springer Nature 2021
Hardcover ISBN: 978-1-0716-1456-3Published: 24 August 2021
eBook ISBN: 978-1-0716-1457-0Published: 23 August 2021
Series ISSN: 2629-2327
Series E-ISSN: 2629-2343
Edition Number: 1
Number of Pages: XX, 439
Number of Illustrations: 77 b/w illustrations, 75 illustrations in colour
Topics: Statistical Physics and Dynamical Systems, Hydrogeology, Graph Theory, Fluid- and Aerodynamics, Catalysis, Phase Transitions and Multiphase Systems