Exact results for an Ising system with long-range interactions on the Sierpiński-gasket lattice

W. Jeżewski

Physica A: Statistical Mechanics and its Applications, 1994, vol. 210, issue 1, 73-86

Abstract: Thermodynamic properties of an Ising model with two-point long-range interactions on the Sierpiński-gasket lattice are studied using an exact recursive methodfor calculating the partition function. The long-range interactions are introduced in a self-similar manner, reflecting the structure of the lattice, and are assumed to be of the form Ql = Q/2(l-1)σ, where Q ⩾ 0, σ ⩾ 0 are parameters, and l = 1, 2,...indicates that Ql couples pairs of spins on the distance 2l (measured in units of the lattice spacing). In the case of constant long-range interactions (σ = 0), exact analytic expression for the critical temperature and the critical exponent v are derived. It is also shown that the recursive method can be applied to analyze the problem of the existence of phase transitions at finite temperatures in the case of σ > 0, i.e. when the long-range coupling decrease with the distance.

Date: 1994
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437194001057
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:210:y:1994:i:1:p:73-86

DOI: 10.1016/0378-4371(94)00105-7

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 ().