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Complex media and percolation theory

Hunt, Allen G.

Complex media and percolation theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Complex media and percolation theoryedited by Muhammad Sahimi, Allen G. Hunt.
other author:	Sahimi, Muhammad.
Published:	New York, NY :Springer US :2021.
Description:	xx, 439 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eReference
Subject:	Percolation (Statistical physics)
Online resource:	https://doi.org/10.1007/978-1-0716-1457-0
ISBN:	9781071614570

Complex media and percolation theory
Complex media and percolation theory[electronic resource] /edited by Muhammad Sahimi, Allen G. Hunt. - New York, NY :Springer US :2021. - xx, 439 p. :ill., digital ;24 cm. - Encyclopedia of complexity and systems science 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.

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.

ISBN: 9781071614570

Standard No.: 10.1007/978-1-0716-1457-0doiSubjects--Topical Terms:

278297
Percolation (Statistical physics)

LC Class. No.: QC174.85.P45 / C65 2021

Dewey Class. No.: 530.13

Complex media and percolation theory
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520 $a 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.
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