Computational Study of a Multistep Height Model
Statistical Mechanics
2012-07-04 v2
Abstract
An equilibrium random surface multistep height model proposed in [Abraham and Newman, EPL, 86, 16002 (2009)] is studied using a variant of the worm algorithm. In one limit, the model reduces to the two-dimensional Ising model in the height representation. When the Ising model constraint of single height steps is relaxed, the critical temperature and critical exponents are continuously varying functions of the parameter controlling height steps larger than one. Numerical estimates of the critical exponents can be mapped via a single parameter-- the Coulomb gas coupling-- to the exponents of the O(n) loop model on the honeycomb lattice with n <= 1.
Cite
@article{arxiv.1203.3990,
title = {Computational Study of a Multistep Height Model},
author = {Matthew Drake and Jon Machta and Youjin Deng and Douglas Abraham and Charles Newman},
journal= {arXiv preprint arXiv:1203.3990},
year = {2012}
}
Comments
13 pages, 6 figures; v2 includes small edits