Contact Research Publications Teaching Links Book project


Winterbottom Construction for Finite-Range Ferromagnetic Models: an $L_1 Approach T. Bodineau, D. Ioffe and Y. Velenik J. Stat. Phys. 105, 93-131 (2001). We provide a rigorous microscopic derivation of the thermodynamic description of equilibrium crystal shapes in the presence of a substrate, first studied by Winterbottom. We consider finite range ferromagnetic Ising models with pair interactions in dimensions greater or equal to 3, and model the substrate by a finite-range boundary magnetic field acting on the spins close to the bottom wall of the box. Key words: Ferromagnetic Ising models, Wulff construction, Winterbottom construction, Equilibrium crystal shapes. Files: PDF file, Published version, bibtex