The Height Fluctuations of an Off-Critical Dimer Model on the Square Grid

Chhita, Sunil

Abstract

The dimer model on a planar bipartite graph can be viewed as a random surface measure. We study these fluctuations for a dimer model on the square grid with two different classes of weights and provide a condition for their equivalence. In the thermodynamic limit and scaling window, these height fluctuations are shown to be non-Gaussian.

Citation

Chhita, S. (2012). The Height Fluctuations of an Off-Critical Dimer Model on the Square Grid. Journal of Statistical Physics, 148(1), 67-88. https://doi.org/10.1007/s10955-012-0529-3

• Journal Article Type: Article
• Acceptance Date: Jun 20, 2012
• Online Publication Date: Jun 29, 2012
• Publication Date: 2012-07
• Deposit Date: Oct 12, 2016
• Journal: Journal of Statistical Physics
• Print ISSN: 0022-4715
• Electronic ISSN: 1572-9613
• Publisher: Springer
• Peer Reviewed: Peer Reviewed
• Volume: 148
• Issue: 1
• Pages: 67-88
• DOI: https://doi.org/10.1007/s10955-012-0529-3