Partition function zeros for the two-dimensional using model IV

John Stephenson

Physica A: Statistical Mechanics and its Applications, 1988, vol. 148, issue 1, 88-106

Abstract: The boundaries of regions containing complex temperature zeros of the partition function of the two-dimensional Ising model on completely anisotropic triangular and quadratic lattices are investigated in detail. Numerical solutions of the boundary equations are presented for triangular lattices with interactions in the ratios 3 : 2 : 1 and 4 : 2 : 1. For general anisotropic triangular and quadratic lattices, the origins of “pinch-points”, at which the boundary lines intersect, is elucidated, and the relation of critical and disorder points to pure imaginary zeros, and their role in the classification of zeros, is analyzed. An explanation is given of why interior (non-boundary) complex solutions of the critical point equations can occur for triangular lattices.

Date: 1988
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437188901367
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:148:y:1988:i:1:p:88-106

DOI: 10.1016/0378-4371(88)90136-7

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 ().