Date of Original Version
Direct Monte Carlo sampling is employed to obtain estimates of excess surface free energies of three-dimensional Ising models at criticality. Results for simple and body-centered-cubic lattices provide strong evidence for the universality of finite-size scaling amplitudes and in particular the related interaction per unit area, mediated via the incipient long-ranged correlations, of two free surfaces a finite distance apart.
K. K. Mon and M. P. Nightingale. (1985). "Surface free energies of three-dimensional Ising models and universality of finite-size scaling amplitudes by direct Monte Carlo sampling." Physical Review B, 31(9), 6137(R). Available at: http://dx.doi.org/10.1103/PhysRevB.31.6137