Continued fraction coherent anomaly approach for Blume-Capel model

Shiladitya Sardar and K.G. Chakraborty

Physica A: Statistical Mechanics and its Applications, 1994, vol. 206, issue 3, 544-552

Abstract: The continued fraction coherent anomaly method (CAM) is applied to study the criticality of the Blume-Capel model. For comparison, we present also the power series approach with a different way of calculating the critical coefficients. The variation of the Curie temperature Tc with respect to the single-ion anisotropy parameter D/J (where D is the single-ion anisotropy and J is the nearest-neighbour exchange constant) is studied using both methods. The method of continued fraction CAM approach consists in expressing the high-temperature static susceptibility series in the form of a continued fraction and subsequently in finding the roots of different order approximants, which are then used in analysing the critical data. The magnitude of confluent singularities has been estimated by the continued fraction CAM approach and the results are compared with those obtained from power series CAM approach.

Date: 1994
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437194903239
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:544-552

DOI: 10.1016/0378-4371(94)90323-9

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 ().