Universality in two-dimensional Ising models

H.W.J. Blöte and M.P. Nightingale

Physica A: Statistical Mechanics and its Applications, 1985, vol. 134, issue 1, 274-282

Abstract: We have used finite-size scaling and transfer matrix techniques to calculate accurately the critical exponents of three two-dimensional Ising-like models for which no exact solution is available: two spin-12 models with crossing bonds, and a spin-1 model. The results for the temperature and magnetic exponents are very close to the exact results for exactly solvable models which are assumed to be in the same universality class. Differences are between 10-5 and a few times 10-4, and within the apparent numerical uncertainties. We also present an estimate of the critical point of the spin-1 model, and some preliminary results concerning universal properties of critical amplitudes.

Date: 1985
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437185901670
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:134:y:1985:i:1:p:274-282

DOI: 10.1016/0378-4371(85)90167-0

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 ().