Title
Proposed connection between critical exponents and fractal dimensions in the Ising modelProposed connection between critical exponents and fractal dimensions in the Ising model
Author
Faculty/Department
Faculty of Sciences. Physics
Research group
Department of Physics
Publication type
article
Publication
Basel,
Subject
Mathematics
Chemistry
Source (journal)
Journal of mathematical chemistry. - Basel
Volume/pages
50(2012):4, p. 920-925
ISSN
0259-9791
ISI
000303891200019
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
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.
E-info
https://repository.uantwerpen.be/docman/iruaauth/cecbe7/1882138.pdf
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