Applications of percolation theory / Muhammad Sahimi
- Sahimi, Muhammad
- London ; Bristol, PA : Taylor & Francis, 
- Copyright Date:
- Physical Description:
- xiv, 258 pages : illustrations ; 24 cm
- CONNECTIVITY AS THE ESSENTIAL PHYSICS OF FISORDERED SYSTEMS: What is percolation? -- The scope of the book -- Applications of percolation that are not discussed in this book -- ELEMENTS OF PERCOLATION THEORY: Definitions and percolation thresholds -- Computer generation of percolation clusters -- Percolation quantities -- The structure of the backbone at or near percolation -- Universal scaling laws for percolation quantities -- Fractals and percolation -- Percolation in finite system and finite-size scaling -- Percolation in random networks and continua -- CHARACTERIZATION OF POROUS MEDIA: Diamagnetic processed and the formation of rocks -- Geometrical models of diamagnetic processes -- Pore space geometry: mercury porosimetry and percolation -- Pore space geometry: adsorption-desorption and percolation -- Pore space topology: adsorption-desorption and percolation -- EARTHQUAKES, AND FRACTYRE AND FAULT PATTERNS IN HETEROGENEOYS ROCK: Morphological properties of fracture and fault networks and their relation with percolation -- Percolation models of fracture processes -- Generation of percolation models of fracture networks -- Earthquakes, fracture and fault patterns, and percolation -- SINGLE-PHASE FLOW AND TRANSPORT IN POROUS MEDIA: Exact result and rigorous bounds -- Effective-medium approximation -- Position-space renormalization group methods -- Renormalized effective-medium approximation -- Critical path method -- Random walk methods --, HYDRODYNAMIC DISPERSION IN GROUNDWATER FLOW IN ROCK: The phenomenon of dispersion -- The convective diffusion equation -- Classification of dispersion in porous media -- Network and percolation models of dispersion -- Comparison with experimental data -- Percolation models of scale -dependent dispersion in heterogrneous rock -- TWO-PHASE FLOW IN POROUS MEDIA: Wettability -- Effect of wettability on capillary pressure -- Immiscible displacements -- Relative permeabilities to two-phases flow and displacement -- Effect of wettability on relative permeability -- Percolation models of capillary-controlled two-phase flow and displacement -- Crossover from percolation to compact displacement -- Roughening and pinning of fluid interfaces: dynamic scaling and directed percolation -- Finite size effects on capillary pressure and relative permeability -- Immiscible displacements under the influence of gravity: gradient percolation -- Scaling laws for relative permeability and dispersion coefficients -- TRANSPORT, REACTION, AND DEPOSITION IN EVOLVING POROUS MEDIA: Noncatalyric gas-solid reactions with fragmentation -- Percolation models of noncataltic gas-solid reactions and fragmentation -- Noncatalytic gas-solid products -- Catalyst deactivation in the diffusion-limited regime -- Flow and deposition of colloidal particles and stable emulation in porous media -- FRACTAL DIFFUSION AND REACTIO KINETICS: Fractal diffusion in percolation system -- Diffusion-controlled reactions on percolsation clusters -- VIBRATIONS AND DENSITY OF STATES OF DISORDERED MATERIALS: Vibrations and density of states of homogeneous rigid structures -- Vibrations and density of states of fractal and percolation networks -- Experimental verification --, and STRUCTUREAL, MECHANICAL, AND RHEOLOGICAL PROPERTIES OF BRANCHED POLYMERS AND GELS: Percolation model of polymerizaton and gelation -- Mechanical, rheological, and structural properties of branched polymers and gels -- Comparison of experimental data for the structural properties of branched polymers and gel with the percolation predictions -- Elastic percolation networks -- Comparison for the scaling properties of the viscosity and elasticity of branched polymers and gels with the percolation predictions -- Kinetic gelation and dynamic percolation -- MORPHOLOGICAL AND TRANSPORT PROPERTIES OF COMPOSITE MATERIALS: DC conductivity and elastic moduli of powders and polymer composites -- DC conductivity and percolation properties of metal-insulator films -- AC conductivity and dielectric properties of composite media -- Hall conductivity of composite media -- Percolaiton properties of glandular superconductors -- HOPPING CONDUCTIVITY OF SEMICONDUCTORS: The Miller-Abrahams network -- Percolation models of hopping conductivity -- Effect of coulomb interactions on hopping conductivity -- Effect of a fractal structure on hopping conductivity -- PERCOLATION IN BIOLOGUCAL SYSTEMS: Antigen-antibody reactions and aggregation -- Network formation on lymphocyte membranes -- Percolation aspects of immunological systems -- Protonic percolation conductivity in biological materials.
- 0748400753 (cloth)
- Bibliography Note:
- Includes bibliographical references and index.
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