Harmonic Crystal on the Wall: A Microscopic Approach
- Cite this article as:
- Bolthausen, E. & Ioffe, D. Comm Math Phys (1997) 187: 523. doi:10.1007/s002200050148
- 106 Downloads
A three dimensional Winterbottom type construction in the regime of partial wetting is derived in a scaling limit of a gas of microscopic Gaussian SOS droplets under the fixed volume constraint. The proof is based on a coarse graining of the random microscopic region “wetted” by the crystal, random walk representations of various quantities related to free massless fields and a stability analysis of the torsional rigidity problem.