Distribution of energies for the two-dimensional Ising model

Authors
Wojtkiewicz, J Klumper, A
Citation
J. Wojtkiewicz et A. Klumper, Distribution of energies for the two-dimensional Ising model, J STAT PHYS, 98(5-6), 2000, pp. 1063-1073
Citations number
8
Categorie Soggetti
Physics
Journal title
JOURNAL OF STATISTICAL PHYSICS
ISSN journal
00224715 → ACNP
Volume
98
Issue
5-6
Year of publication
2000
Pages
1063 - 1073
Database
ISI
SICI code
0022-4715(200003)98:5-6<1063:DOEFTT>2.0.ZU;2-Q
Abstract
We calculate the number of polygons with fixed total length drawn on a squa re lattice with periodic boundary conditions. In addition, H-e study the st atistics of polygons with the number of horizontal and vertical links fixed separately. The analysis is performed via a mapping to the Ising model wit h isotropic and anisotropic interactions. We deal with the case of finite l attice sizes as a well as the thermodynamic limit.