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010   $a1-0716-1457-6
024 7 $a10.1007/978-1-0716-1457-0
035   $a(CKB)4100000012008554
035   $a(MiAaPQ)EBC6711032
035   $a(Au-PeEL)EBL6711032
035   $a(DE-He213)978-1-0716-1457-0
035   $a(PPN)257354085
035   $a(EXLCZ)994100000012008554
100   $a20210823d2021      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aComplex Media and Percolation Theory /$fedited by Muhammad Sahimi, Allen G. Hunt
205   $a1st ed. 2021.
210  1$aNew York, NY :$cSpringer US :$cImprint: Springer,$d2021.
215   $a1 online resource (448 pages)
225 1 $aEncyclopedia of Complexity and Systems Science Series,$x2629-2343
311 08$a1-0716-1456-8 
327   $aBootstrap 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.
330   $aPercolation theory describes the effects of the connectivity of microscopic or small-scale elements of a complex medium to its macroscopic or large-scale properties. It also describes the conditions under which there may be a continuously connected path of local elements across the medium. The point at which the path is formed is called the percolation threshold. Percolation theory also predicts that many macroscopic properties of complex media follow universal power laws near the percolation threshold that are independent of many microscopic features of such media. There are many applications of percolation theory across the natural sciences, from porous materials, to composite solids, complex networks, and biological systems. This book presents the essential elements of percolation theory, covers the problem of calculating the exponents that characterize the power laws that the percolation quantities follow near the percolation threshold, provides a clear description of the geometry of percolation clusters of the connected paths, and addresses several variations of percolation theory. In particular, bootstrap percolation, explosive percolation, and invasion percolation are featured, which expand the range of natural systems to which percolation may be applicable. In addition, coverage includes several important applications of percolation theory to a range of phenomena, ranging from electrical conductivity, thermopower, the Hall effect, and photoconductivity of disordered semiconductors, to flow, transport and reaction in porous media, geochemistry, biology, and ecology.
410  0$aEncyclopedia of Complexity and Systems Science Series,$x2629-2343
606   $aMathematical physics
606   $aEarth sciences
606   $aGraph theory
606   $aPhysics
606   $aCatalysis
606   $aCondensed matter
606   $aTheoretical, Mathematical and Computational Physics
606   $aEarth Sciences
606   $aGraph Theory
606   $aClassical and Continuum Physics
606   $aCatalysis
606   $aPhase Transitions and Multiphase Systems
615  0$aMathematical physics.
615  0$aEarth sciences.
615  0$aGraph theory.
615  0$aPhysics.
615  0$aCatalysis.
615  0$aCondensed matter.
615 14$aTheoretical, Mathematical and Computational Physics.
615 24$aEarth Sciences.
615 24$aGraph Theory.
615 24$aClassical and Continuum Physics.
615 24$aCatalysis.
615 24$aPhase Transitions and Multiphase Systems.
676   $a530.13
702   $aSahimi$b Muhammad
702   $aHunt$b Allen G.
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910495191203321
996   $aComplex media and percolation theory$92843005
997   $aUNINA