Multifractility of Ising models on hierarchical lattices: pure and spin glass cases

S. Coutinho, O. Donato Neto, J.R.L. de Almeida, E.M.F. Curado and W.A.M. Morgado

Physica A: Statistical Mechanics and its Applications, 1992, vol. 185, issue 1, 271-277

Abstract: The multifractal properties of the order parameter of Ising spin models on hierarchical lattices are investigated by an exact recursion procedure. Both pure and spin glass cases exhibit an order parameter with multifractal structure at the critical point. The connection between the multifractal ƒ(α) function and the critical exponents governing the transition is established. A continuous infinite set of exponents is required to describe the critical behavior of the local order parameter. Scaling relations between these exponents are also obtained.

Date: 1992
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437192904664
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:185:y:1992:i:1:p:271-277

DOI: 10.1016/0378-4371(92)90466-4

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().