EXACT 2-CELL CORRELATIONS IN RANDOM CELLULAR STRUCTURES GENERATED FROM A 2D ISING FERROMAGNET

Citation
R. Delannay et al., EXACT 2-CELL CORRELATIONS IN RANDOM CELLULAR STRUCTURES GENERATED FROM A 2D ISING FERROMAGNET, Physica. A, 212(1-2), 1994, pp. 1-11
Citations number
25
Categorie Soggetti
Physics
Journal title
ISSN journal
03784371
Volume
212
Issue
1-2
Year of publication
1994
Pages
1 - 11
Database
ISI
SICI code
0378-4371(1994)212:1-2<1:E2CIRC>2.0.ZU;2-Y
Abstract
Random 2D cellular structures are generated from distributions of spin s given by a ferromagnetic Ising model with nearest-neighbour coupling s on a square lattice. Topological correlations between pairs of neigh bouring cells, are expressed as rational functions of even-number spin correlations, involving two, four and six spins, which are exactly kn own for the square Ising model, The latter correlations have been calc ulated numerically in the vicinity of the Curie point, They agree with computer simulation results.