Quantized Scaling of Growing Surfaces
Condensed Matter
2009-10-30 v1
Abstract
The Kardar-Parisi-Zhang universality class of stochastic surface growth is studied by exact field-theoretic methods. From previous numerical results, a few qualitative assumptions are inferred. In particular, height correlations should satisfy an operator product expansion and, unlike the correlations in a turbulent fluid, exhibit no multiscaling. These properties impose a quantization condition on the roughness exponent and the dynamic exponent . Hence the exact values for two-dimensional and for three-dimensional surfaces are derived.
Cite
@article{arxiv.cond-mat/9711037,
title = {Quantized Scaling of Growing Surfaces},
author = {Michael Lassig},
journal= {arXiv preprint arXiv:cond-mat/9711037},
year = {2009}
}
Comments
4 pages, revtex, no figures