Aperiodic magnetic models on the Wheatstone hierarchical lattice

A.C. Almeida and R.F.S. Andrade

Physica A: Statistical Mechanics and its Applications, 2005, vol. 357, issue 1, 181-186

Abstract: Aperiodic Ising models on Wheatstone hierarchical lattices, induced by two-letter substitution sequences, are analyzed within a transfer matrix framework. The numerical iteration of the set of maps leads to values for the thermodynamical properties as functions of the temperature, from which the critical properties are evaluated. Relevant geometric fluctuations in the distribution of bonds induced by substitution rules play an essential role for the occurrence of changes in the critical behavior of the aperiodic model in comparison with its homogeneous counterpart. We have found both irrelevant and relevant fluctuations already for the first two members of this family. Results are important to the understanding of the behavior of aperiodic Ising model on planar lattices.

Keywords: Aperiodicity; Inflation rule; Relevant fluctuations; Ising model (search for similar items in EconPapers)
Date: 2005
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437105005145
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:357:y:2005:i:1:p:181-186

DOI: 10.1016/j.physa.2005.05.063

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 ().