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Books > Science & Mathematics > Physics > States of matter > Condensed matter physics (liquids & solids)
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Complex Media and Percolation Theory (Mixed media product, 1st ed. 2021)
Loot Price: R21,839
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Complex Media and Percolation Theory (Mixed media product, 1st ed. 2021)
Series: Encyclopedia of Complexity and Systems Science Series
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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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