A Renormalization Scheme and Skewness of Height Fluctuations in $(1+1)$-dimensional VLDS Dynamics
Statistical Mechanics
2016-04-13 v1
Abstract
We study the -dimensional Villain, Lai, and Das Sarma (VLDS) equation driven by a Gaussian white noise and implement a renormalization scheme without rescaling at one-loop order. Using a diagrammatic method, we calculate the renormalized second and third moments in the large-scale and long-time limits. The ensuing skewness value is . This (negative) value is consistent with the numerical prediction of Das Sarma \emph{et al.} [Phys. Rev. E {\bf 53} 359 (1996)].
Keywords
Cite
@article{arxiv.1512.04877,
title = {A Renormalization Scheme and Skewness of Height Fluctuations in $(1+1)$-dimensional VLDS Dynamics},
author = {Tapas Singha and Malay K. Nandy},
journal= {arXiv preprint arXiv:1512.04877},
year = {2016}
}
Comments
20 pages, 4 figures, version accepted in J. Stat. Mech.:Theory and Exp