We studied the ferromagnetic Ising model on two-dimensional systems with rough boundaries and several thickness distributions. First, we considered very long strips with discretized Gaussian distributions of widths with mean 3⩽L⩽12. Systems with fixed interface width W and with increasing...

The dependence of physical quantities on the finite size of a structure and their dependence on the surface roughness are the questions considered in our studies of the ferromagnetic Ising model on two- and three-dimensional systems. In two dimensions, we consider very long strips of random...