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

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.