Local Entropy Characterization of Correlated Random Microstructures

Details Local Entropy Characterization of Correlated Random Microstructures Local Entropy Characterization of Correlated Random Microstructures

1996-11-04

arxiv.org/abs/cond-mat/9611015v1

Physics

Condensed Matter

Materials Science

15 pages. please contact hilfer@ica1.uni-stuttgart.de and have a look at http://www.ica1.uni-stuttgart.de/ . To appear in Phys

Scientific paper

A rigorous connection is established between the local porosity entropy introduced by Boger et al. (Physica A 187, 55 (1992)) and the configurational entropy of Andraud et al. (Physica A 207, 208 (1994)). These entropies were introduced as morphological descriptors derived from local volume fluctuations in arbitrary correlated microstructures occuring in porous media, composites or other heterogeneous systems. It is found that the entropy lengths at which the entropies assume an extremum become identical for high enough resolution of the underlying configurations. Several examples of porous and heterogeneous media are given which demonstrate the usefulness and importance of this morphological local entropy concept.

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