Winterbottom Construction for Finite Range Ferromagnetic Models: An L_1 Approach
Probability
2011-08-25 v1 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math/0101174,
title = {Winterbottom Construction for Finite Range Ferromagnetic Models: An L_1 Approach},
author = {T. Bodineau and D. Ioffe and Y. Velenik},
journal= {arXiv preprint arXiv:math/0101174},
year = {2011}
}