Communications in Mathematical Physics

, Volume 187, Issue 3, pp 523–566

Harmonic Crystal on the Wall: A Microscopic Approach

  • Erwin Bolthausen
  • Dmitry Ioffe

DOI: 10.1007/s002200050148

Cite this article as:
Bolthausen, E. & Ioffe, D. Comm Math Phys (1997) 187: 523. doi:10.1007/s002200050148

Abstract:

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.

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Erwin Bolthausen
    • 1
  • Dmitry Ioffe
    • 2
  1. 1.Institute for Mathematics, University of Zurich, Winterthurer Strasse 190, CH-8057 Zurich, SwitzerlandCH
  2. 2.WIAS, Mohrenstrasse 39, D-10117 Berlin, GermanyDE

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