Modified critical correlations close to modulated and rough surfaces
Statistical Mechanics
2009-10-31 v2
Abstract
Correlation functions are sensitive to the presence of a boundary. Surface modulations give rise to modified near surface correlations, which can be measured by scattering probes. To determine these correlations, we develop a perturbative calculation in deformations in height from a flat surface. The results, combined with a renormalization group around four dimensions, are also used to predict critical behavior near a self-affinely rough surface. We find that a large enough roughness exponent can modify surface critical behavior.
Cite
@article{arxiv.cond-mat/0012516,
title = {Modified critical correlations close to modulated and rough surfaces},
author = {Andreas Hanke and Mehran Kardar},
journal= {arXiv preprint arXiv:cond-mat/0012516},
year = {2009}
}
Comments
4 pages, 1 figure. Revised version as published in Phys. Rev. Lett. 86, 4596 (2001)