Winterbottom construction for finite range ferromagnetic models: An L-1-approach

Authors
Bodineau, T Ioffe, D Velenik, Y
Citation
T. Bodineau et al., Winterbottom construction for finite range ferromagnetic models: An L-1-approach, J STAT PHYS, 105(1-2), 2001, pp. 93-131
Citations number
45
Categorie Soggetti
Physics
Journal title
JOURNAL OF STATISTICAL PHYSICS
ISSN journal
00224715 → ACNP
Volume
105
Issue
1-2
Year of publication
2001
Pages
93 - 131
Database
ISI
SICI code
0022-4715(200110)105:1-2<93:WCFFRF>2.0.ZU;2-N
Abstract
We provide a rigorous microscopic derivation of the thermodynamic descripti on of equilibrium crystal shapes in the presence of a substrate, first stud ied by Winterbottom. We consider finite range ferromagnetic Ising models wi th pair interactions in dimensions greater or equal to 3, and model the sub strate by a finite-range boundary magnetic Field acting on the spins close to the bottom wall of the box.