The Mathematics and physics of disordered media : percolation, random walk, modeling, and simulation : proceedings of a workshop held at the IMA, University of Minnesota, Minneapolis, February 13-19, 1983

書誌事項

The Mathematics and physics of disordered media : percolation, random walk, modeling, and simulation : proceedings of a workshop held at the IMA, University of Minnesota, Minneapolis, February 13-19, 1983

edited by B.D. Hughes and B.W. Ninham

(Lecture notes in mathematics, 1035)

Springer-Verlag, 1983

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  • : us

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注記

"Subseries, Institute for Mathematics and Its Applications, Minneapolis"

Includes bibliographical references

内容説明・目次

目次

Random processes and random systems: An introduction.- On the wedding of certain dynamical processes in disordered complex materials to the theory of stable (Levy) distribution functions.- Fractal stochastic processes: Clusters and intermittancies.- Percolation and fractal properties of thin gold films.- Percolation and capillary fluid displacement.- Recent progress and current puzzles in percolation.- Markov fields, correlated percolation, and the Ising model.- Directionality effects in percolation.- Percolation and related systems in equilibrium statistical mechanics.- Branched polymers, polymer gels and percolation theory.- Critical probabilities in percolation models.- Critical exponents and thresholds for percolation and conduction.- Models of disordered media: Some new results, including some new connections between composite-media, fluid-state, and random-flight theories.- Variational bounds on the diffusive and hydrodynamic permeabilities of randomly perforated sheets.- Diffusions and random walks in random media.- Waves in disordered media.- Microscopic origins of stochastic crack growth.

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