Effect of Long-Range Interactions in the Conserved Kardar-Parisi-Zhang Equation
Statistical Mechanics
2009-10-31 v1
Abstract
The conserved Kardar-Parisi-Zhang equation in the presence of long-range nonlinear interactions is studied by the dynamic renormalization group method. The long-range effect produces new fixed points with continuously varying exponents and gives distinct phase transitions, depending on both the long-range interaction strength and the substrate dimension . The long-range interaction makes the surface width less rough than that of the short-range interaction. In particular, the surface becomes a smooth one with a negative roughness exponent at the physical dimension d=2.
Keywords
Cite
@article{arxiv.cond-mat/9806028,
title = {Effect of Long-Range Interactions in the Conserved Kardar-Parisi-Zhang Equation},
author = {Youngkyun Jung and In-mook Kim and Jin Min Kim},
journal= {arXiv preprint arXiv:cond-mat/9806028},
year = {2009}
}
Comments
4 pages(LaTex), 1 figure(Postscript)