Continuous sequence of mean-field approximations and critical phenomena

P. Cenedese, J.M. Sanchez and R. Kikuchi

Physica A: Statistical Mechanics and its Applications, 1994, vol. 209, issue 1, 257-267

Abstract: The coherent anomaly method, introduced by Suzuki in 1986, provides, in principle, a remarkably simple approach to study critical phenomena within the framework of the mean-field approximation. Unlike the renormalization group techniques commonly employed to investigate critical phenomena, Suzuki's method exploits the systematic behavior of a sequence of mean-field approximations in order to extract critical temperature and exponents. Despite its conceptual simplicity, actual implementation of the CAM requires the ability to treat at least three levels of mean-field approximations belonging to what Suzuki has termed a “cardinal” sequence. Here we present a new method based on a continuous sequence of mean-field approximations from which the implementation of the CAM proceeds in a straightforward manner.

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

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437194900590
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:209:y:1994:i:1:p:257-267

DOI: 10.1016/0378-4371(94)90059-0

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 ().