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Title
Complex media and percolation theory / Muhammad Sahimi, Allen G. Hunt, editors.
ISBN
9781071614570 (electronic bk.)
1071614576 (electronic bk.)
Publication Details
New York, NY : Springer, 2021.
Language
English
Description
1 online resource (448 pages)
Item Number
10.1007/978-1-0716-1457-0 doi
Call Number
QC174.85.P45
Dewey Decimal Classification
530.13
Summary
Percolation theory describes the effects of the connectivity of microscopic or small-scale elements of a complex medium to its macroscopic or large-scale properties. It also describes the conditions under which there may be a continuously connected path of local elements across the medium. The point at which the path is formed is called the percolation threshold. Percolation theory also predicts that many macroscopic properties of complex media follow universal power laws near the percolation threshold that are independent of many microscopic features of such media. 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.
Note
Includes index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed September 10, 2021).
Series
Encyclopedia of complexity and systems science series.
Bootstrap Percolation
Conduction and Diffusion in Percolating Systems
Continuum Percolation
Correlated Percolation
Elastic Percolation Networks
Invasion Percolation
Networks, Flexibility and Mobility in
Percolation in Complex Networks, and Faults and Fractures in Rock
Percolation, Introduction to
Lattices, Efficient Simulation of Large
Percolation Phase Transition
Percolation and Polymer Morphology and Rheology
Percolation in Porous Media
Percolation Thresholds, Exact
Properties, Fractals, and the Renormalization Group Approach to Percolation.
