Abstract
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.
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