A new type of cluster theory in Ising systems (II)

T. Kaneyoshi

Physica A: Statistical Mechanics and its Applications, 1999, vol. 269, issue 2, 357-368

Abstract: A new type of cluster theory in Ising models with an arbitrary spin S(S>12) is presented by the use of the differential operator technique and Ising spin identities. The formulations for evaluating the transition line are derived for the two Ising systems with S=1 and 32 as well as for the spin-S transverse Ising systems. The statistical accuracy of the result is the so-called extension of the spin-12 Bethe–Peierls approximation to the spin-S system. Numerical results are performed and analyzed for the systems with three coordination numbers z(z=3,4 and 6).

Keywords: Cluster theory; Ising systems; Bethe–Peierls approximation; Blume–Capel model (search for similar items in EconPapers)
Date: 1999
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437199000679
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:269:y:1999:i:2:p:357-368

DOI: 10.1016/S0378-4371(99)00067-9

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 ().