6533b86ffe1ef96bd12cd37f
RESEARCH PRODUCT
Entropic measure of spatial disorder for systems of finite-sized objects
R. Piaseckisubject
Statistics and ProbabilityPhysicseducation.field_of_studyStatistical Mechanics (cond-mat.stat-mech)Degree (graph theory)Binary imageConfiguration entropyPopulationFOS: Physical sciencesCondensed Matter PhysicsMeasure (mathematics)Sierpinski triangleThermodynamic limitCluster (physics)Statistical physicseducationCondensed Matter - Statistical Mechanicsdescription
We consider the relative configurational entropy per cell S_Delta as a measure of the degree of spatial disorder for systems of finite-sized objects. It is highly sensitive to deviations from the most spatially ordered reference configuration of the objects. When applied to a given binary image it provides the quantitatively correct results in comparison to its point object version. On examples of simple cluster configurations, two-dimensional Sierpinski carpets and population of interacting particles, the behaviour of S_Delta is compared with the normalized information entropy H' introduced by Van Siclen [Phys. Rev. E 56, (1997) 5211]. For the latter example, the additional middle-scale features revealed by our measure may indicate for the traces of self-similar structure of the weakly ramified clusters. In the thermodynamic limit, the formula for S_Delta is also given.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-03-01 | Physica A: Statistical Mechanics and its Applications |