The Mathematics and Physics of Disordered Media: Percolation, Random Walk, Modeling, and Simulation
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 / [electronic resource] :
edited by B. D. Hughes, B. W. Ninham.
- VIII, 432 p. online resource.
- Lecture Notes in Mathematics, 1035 0075-8434 ; .
- Lecture Notes in Mathematics, 1035 .
Random processes and random systems: An introduction -- On the wedding of certain dynamical processes in disordered complex materials to the theory of stable (Lévy) 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.
9783540386933
10.1007/BFb0073254 doi
Distribution (Probability theory.
Statistical physics.
Theoretical, Mathematical and Computational Physics.
Complex Systems.
Probability Theory and Stochastic Processes.
Statistical Physics and Dynamical Systems.
QC19.2-20.85
530.1
Random processes and random systems: An introduction -- On the wedding of certain dynamical processes in disordered complex materials to the theory of stable (Lévy) 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.
9783540386933
10.1007/BFb0073254 doi
Distribution (Probability theory.
Statistical physics.
Theoretical, Mathematical and Computational Physics.
Complex Systems.
Probability Theory and Stochastic Processes.
Statistical Physics and Dynamical Systems.
QC19.2-20.85
530.1