Roughening transition, surface tension and equilibrium droplet shapes in a two-dimensional Ising system

J E Avron, H van Beijeren, L S Schulman, R K P Zia
1982 Journal of Physics A: Mathematical and General  
The exact surface tension for all angles and temperatures is given for the two-dimensional square Ising system with anisotropic nearest-neighbour interactions. Using this in the Wulff construction, droplet shapes are computed and illustrated. Letting temperature approach zero allows explicit study of the roughening transition in this model. We also compare our results with those of the solid-on-solid approximation.
doi:10.1088/0305-4470/15/3/541 fatcat:7t2gjtzlifblpcqeheoxytabse