WALL AND BOUNDARY FREE-ENERGIES .2. GENERAL DOMAINS AND COMPLETE BOUNDARIES

The asymptotic free energy of a planar wall with potentials W, cut in scalar spin systems, with ferromagnetic interactions K, enclosed in general domains subject to reasonable shape conditions, is shown (under conditions used in Part I) to exist and to be equal to the unique limiting wall free energy, fx(K, W), of simple rectangular or box domains. Similar results are found for sets of walls forming the complete boundaries of domains; for subfree" walls bulk plus a uniquely-defined surface term. Some limited results for periodic boundary conditions are reported. © 1979 Springer-Verlag."