Exact two-cell correlations in random cellular structures generated from a 2D Ising ferromagnet

Renaud Delannay (1, 2) , N. Ito (3, 1) , M. Khatun (4) , Gérard Le Caër (5)

1 KFA - Institut für Kernphysik
2 LEMTA - Laboratoire d'Energétique et Mécanique Théorique et Appliquée
3 UTokyo - The University of Tokyo
4 Ball State University
5 LSG2M - Laboratoire de Science et Génie des Matériaux et de Métallurgie

Random 2D cellular structures are generated from distributions of spins given by a ferromagnetic Ising model with nearest-neighbour couplings on a square lattice. Topological correlations between pairs of neighbouring cells, are expressed as rational functions of even-number spin correlations, involving two, four and six spins, which are exactly known for the square Ising model, The latter correlations have been calculated numerically in the vicinity of the Curie point, They agree with computer simulation results.

Mots clés: MODEL; PATTERNS; LATTICES; NUMBER CORRELATIONS

Domaines: Autre [cond-mat.other]

Renaud Delannay, N. Ito, M. Khatun, Gérard Le Caër. Exact two-cell correlations in random cellular structures generated from a 2D Ising ferromagnet. Physica A: Statistical Mechanics and its Applications, 1994, 212 (1-2), pp.1-11. ⟨10.1016/0378-4371(94)90133-3⟩. ⟨hal-01127696⟩