Coarsened Lattice Spatial Disorder in the Thermodynamic Limit

Abstract

In this Rapid Research Note the application of recently introduced [Physica A 277 (2000) 157] entropic measure S_Delta of spatial disorder for systems of finite-sized objects is presented. In the thermodynamic limit the critical behaviour of coarsened lattice model of random two-phase systems is illustrated for certain grain size distributions (GSDs) and chosen parameters. Also the changes of spatial disorder, quantified by S_Delta, between the limit GSDs clearly show that the topological equivalence of the two phases is broken.

3 pages, 1 figure

References in corpus (2)

• Effective conductivity in association with model structure and spatial inhomogeneity of polymer/carbon black composites
• What is a physical measure of spatial inhomogeneity comparable to the mathematical approach?

Cited by in corpus (3)

• Versatile entropic measure of grey level inhomogeneity
• A generalization of the inhomogeneity measure for point distributions to the case of finite size objects
• Effective conductivity in a lattice model for binary disordered media with complex distributions of grain sizes