Applications of Percolation Theory, Second Edition (2^nd Ed.)

Percolation theory provides a mathematical framework for the study of random physical processes such as flow through disordered porous media. It spans applications in the physical sciences and beyond natural phenomena. Double in size, this second edition provides an up-to-date account of these applications. After reviewing the theory, the book covers a range of applications and variations. Well known in the field, the author presents examples in phase transitions, semiconductors, geology, astrophysics, network modeling, and the social sciences.

PART I: BASIC CONCEPTS: Introduction. Classical Percolation. Variations of Percolation. PART II: APPLICATIONS: Characterization of Porous Media. Characterization of Fracture and Faults. Earthquakes and Percolation. Single-Phase Flow in Porous Media. Transport in Porous Media. Multiphase Flow in Porous Media. Catalyst Deactivation and Pore Plugging. Reaction and Fragmentation of Solids. Anomalous Reaction Kinetics. Morphology and Rheology of Polymers, Gels, Foams, and Glasses. Transport in Composite Materials. Frequency-Dependent Conductivity and the Critical Path Analysis. Vibration and Density of States of Composite Materials. Applications of Invasion Percolation. Applications of Directed Percolation. Applications of Other Variations of Percolation. Percolation in Biological Materials. References. Index.