6533b861fe1ef96bd12c439b
RESEARCH PRODUCT
Detecting self-similarity in surface microstructures
R. Piaseckisubject
Surface (mathematics)Length scalePhysicsCondensed Matter - Materials Scienceeducation.field_of_studySelf-similarityStatistical Mechanics (cond-mat.stat-mech)PopulationConfiguration entropyMaterials Science (cond-mat.mtrl-sci)FOS: Physical sciencesSurfaces and InterfacesFunction (mathematics)Condensed Matter PhysicsSurfaces Coatings and FilmsSierpinski triangleMaterials ChemistryPoint (geometry)Statistical physicseducationCondensed Matter - Statistical Mechanicsdescription
The relative configurational entropy per cell as a function of length scale is a sensitive detector of spatial self-similarity. For Sierpinski carpets the equally separated peaks of the above function appear at the length scales that depend on the kind of the carpet. These peaks point to the presence of self-similarity even for randomly perturbed initial fractal sets. This is also demonstrated for the model population of particles diffusing over the surface considered by Van Siclen, Phys. Rev. E 56 (1997) 5211. These results allow the subtle self-similarity traces to be explored.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-05-01 |