Local Entropy Characterization of Correlated Random Microstructures
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/9611015,
title = {Local Entropy Characterization of Correlated Random Microstructures},
author = {C. Andraud and A. Beghdadi and E. Haslund and R. Hilfer and J. Lafait and B. Virgin},
journal= {arXiv preprint arXiv:cond-mat/9611015},
year = {2015}
}
Comments
15 pages. please contact hilfer@ica1.uni-stuttgart.de and have a look at http://www.ica1.uni-stuttgart.de/ . To appear in Physica A