6533b872fe1ef96bd12d422d
RESEARCH PRODUCT
Local Entropy Characterization of Correlated Random Microstructures
E. HaslundRudolf HilferRudolf HilferB. VirginChristine AndraudAzeddine BeghdadiJacques Lafaitsubject
Statistics and ProbabilityCondensed Matter - Materials ScienceMaterials scienceConfiguration entropyMaterials Science (cond-mat.mtrl-sci)FOS: Physical sciencesStatistical physicsMorphological descriptorsCondensed Matter PhysicsPorosityPorous mediumMicrostructuredescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1996-11-04 |