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The study of random heterogeneous materials is an exciting and rapidly growing multidisciplinary endeavor. This field demands a unified rigorous means of characterizing the microstructures and macroscopic properties of the widely diverse types of heterogeneous materials that abound in nature and synthetic products. This book is the first of its kind to provide such an approach. Emphasis is placed on foundational theoretical methods that can simultaneously yield results of practical utility. The first part of the book deals with the quantitive characterization of the microstructure of heterogeneous materials. The second part of the book treats a wide variety of macroscopic transport, electromagnetic, mechanical, and chemical properties of heterogeneous materials and describes how they are linked to the microstructure of model and real materials. Contemporary topics covered include the statistical mechanics of many-partical systems, the canonical n-point correlation function, percolation theory, computer-simulation methods, image analyses and reconstructions of real materials, homogenization theory, exact property predictions, variational bounds, expansion techniques, and cross property relations. This clear and authoritative volume will be of particular interest to graduate students and researchers in applied mathematics, physics, chemistry, material sciences, engineering, geophysics, and biology. Moreover, the book is self-contained and approachable by nonspecialist. Salvatore Torquato is a professor in the Department of Chemistry and in the Materials Institute at Princeton University. He also holds affiliated appointments at Princeton University in applied and Computational Mathematics Program and in Chemical Engineering. Among other honors, he was a John Simon Guggenheim Fellow in 1998. He has published over two hundred journal articles across a variety of scientific disciplines.

Statistical physics --- Mathematical statistics --- Fluid mechanics --- Inhomogeneous materials. --- Microstructure. --- Materiaux hétérogènes --- Microstructure (Physique) --- 62-4 --- 541.68 --- 531.19 --- 539.219.1 --- Materials --- Matter --- Morphology --- Micromechanics --- Stereology --- Heterogeneous materials --- Inhomogeneous media --- Media, Inhomogeneous --- State, condition, form of materials, surfaces, objects, products --- Relation of chemical structure to mechanical properties --- Statistical mechanics --- Irregularities. Impurities. Inclusions. Heterogeneity. Streaks. Gas emission --- Constitution --- 539.219.1 Irregularities. Impurities. Inclusions. Heterogeneity. Streaks. Gas emission --- 531.19 Statistical mechanics --- 541.68 Relation of chemical structure to mechanical properties --- 62-4 State, condition, form of materials, surfaces, objects, products --- Materiaux hétérogènes --- Inhomogeneous materials --- Microstructure --- Probabilities. --- Materials science. --- Mechanical engineering. --- Statistical physics. --- Dynamical systems. --- Condensed matter. --- Probability Theory and Stochastic Processes. --- Materials Science, general. --- Mechanical Engineering. --- Complex Systems. --- Condensed Matter Physics. --- Characterization and Evaluation of Materials. --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Solids --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- Material science --- Physical sciences --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Risk --- Statistical methods