Random heterogeneous material

S. Torquato, Random Heterogeneous Materials Microstructure and Macroscopic Properties,... 

The theory of random heterogeneous materials provides a variety of sophisticated tools to explore the relations between microstructure and the required effective properties [9,10,85]. Information on volumetric composition, pore size distribution, and wetting properties can be used to predict proton... 

Torquato S (2002) Random Heterogeneous Materials, Springer Series in Interdisciplinary Applied Mathematics, vol 16. Springer, Berlin Heidelberg New York... 

S. Torquato Random Heterogeneous Materials (Springer, New York, 2002)... 

In a random heterogeneous material, differences in composition are random and on a fine scale. When you collect a portion of the material for analysis, you obtain some of each of the different compositions. To construct a representative sample from a heterogeneous material, you can first visually divide the material into many small regions. For example, if you want to measure the magnesium content of the grass in the 10-meter X 20-meter field in panel a, you could divide... 

Percolation theory is commonly applied to describe phase transitions or transport phenomena in random heterogeneous materials. These kinds of critical processes are characterized by strong divergence of certain physical quantities in the near of the so-called percolation threshold. The percolation threshold is a critical amount or probability for the appearance of variously shaped heterogeneities (denoted by subscript c), characterized by a strong increase of the connectivity or the formation of endless clusters. 

Torquato S. Random heterogeneous materials. Springer New York, 2002. 

Torquato, S. Random Heterogeneous Materials - Microstructure and Macroscopic Properties Springer New York, NY, 2002 pp 1-701. 

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