Publication
Title
Proposed connection between critical exponents and fractal dimensions in the Ising model
Author
Abstract
 Scaling properties near the critical point indicates the existence of self-similarity behavior for the critical phenomena. Although the system considered here is not a truly dynamic one, we propose a specific set of relations between fractal dimensions and critical exponents in the Ising model of statistical mechanics. In particular, we put forward, corresponding to six critical exponents for the Ising model, six fractal dimensions. Assuming the latter proposals, we can then derive relationships between such fractal dimensions.
Language
English
Source (journal)
Journal of mathematical chemistry. - Basel
Publication
Basel : 2012
ISSN
0259-9791
Volume/pages
50:4(2012), p. 920-925
ISI
000303891200019
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
 Faculty/Department Research group Publication type Subject Affiliation Publications with a UAntwerp address