Zeroes of the triangular Potts model partition function: a conjectured distribution

J.C. Anglès d'Auriac, J.M. Maillard, G. Rollet and F.Y. Wu

Physica A: Statistical Mechanics and its Applications, 1994, vol. 206, issue 3, 441-453

Abstract: We consider the q-state Potts model on the triangular lattice with two- and three-site interactions in alternate triangular faces, and determine zeroes of the partition function numerically in the case of pure three-site interactions. On the basis of a rigorous reciprocal symmetry and results on the zeroes for finite lattices, we conjecture that zeroes of the partition function of the triangular Potts model with pure three-site interactions in alternate triangular faces lie on a circle and a segment of the negative real axis. It is shown that the conjecture holds for q = 2, and that it reproduces the known critical point for general q, including the q = 1 site percolation.

Date: 1994
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437194903166
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:206:y:1994:i:3:p:441-453

DOI: 10.1016/0378-4371(94)90316-6

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 ().