Communications in Mathematical Physics

, Volume 187, Issue 3, pp 523–566 | Cite as

Harmonic Crystal on the Wall: A Microscopic Approach

  • Erwin Bolthausen
  • Dmitry Ioffe

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.

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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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