An universal relation between fractal and Euclidean (topological) dimensions of random systems

Authors
Bershadskii, A
Citation
A. Bershadskii, An universal relation between fractal and Euclidean (topological) dimensions of random systems, EUR PHY J B, 6(3), 1998, pp. 381-382
Citations number
8
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
EUROPEAN PHYSICAL JOURNAL B
ISSN journal
14346028 → ACNP
Volume
6
Issue
3
Year of publication
1998
Pages
381 - 382
Database
ISI
SICI code
1434-6028(199812)6:3<381:AURBFA>2.0.ZU;2-H
Abstract
It is shown that a dimension-invariant form D(d) = bd(gamma) for fractal di mension D of random systems (where d is Euclidean dimension of the embeddin g space) is in good agreement with results of numerical simulations perform ed by different authors for critical (p = p(c)) and subcritical (p < p(c)) percolation, for lattice animals, and for different aggregation processes.