In generalizing a continuum approximation suggested by Ferrell for a spatially homogeneous Ising model, some results of earlier, exact calculations concerning the critical thermodynamics of certain spatially non-homogeneous 2d Ising systems are reproduced in a more transparent way, and the...

By means of a continuum approximation introduced in a preceding paper, we present a more transparent treatment of the critical phenomena in the specific heat of a two-dimensional Ising model with a “layer” type spatial inhomogeneity of its exchange coupling. This calculational procedure...

Starting from the previously developed probabilistic method for recognition of structures of small clusters of atoms undergoing thermal fluctuations, we derive simple algorithms for the very detailed study of local face-centered-cubic (FCC) arrangements of the atoms, directly in a configuration...

A generalization of Ferrell's continuum approximation for the transfer matrix is utilized to obtain a physically transparent calculation of the specific heat of a two-dimensional Ising model with a “layer”-type inhomogeneity in its exchange coupling, including small (quenched!) statistical...