1303.0573 (H. Dashti-Naserabadi et al.)

Scaling properties and classification of Single Step growth model in
(2+1)-dimensions    [PDF]

H. Dashti-Naserabadi, A. A. Saberi, S. Rouhani

We study the (2+1)-dimensional single-step model (SSM) with a tunable parameter $ p $. Using extensive numerical simulations, we find dependence of interface exponents and scaling exponents derived from iso-height clusters on $ p $. Also we test the iso-height contours for being Schramm-Loewner evolution (SLE$_\kappa$) curves. We find that there is convincing evidence that they are with $ k \approx 8/3 $ at $ p=0 $, but for $ p \ne 0 $, the results do not match with each other. Furthermore, the boundary conditions become important for $ p \ne 0 $. The right choice of boundary conditions at $ p=0.5 $ such that Gaussian free field universality class emerges, remaining unknown.

View original: http://arxiv.org/abs/1303.0573