Passive Sliders on Growing Surfaces and (anti-)Advection in Burger's Flows
Statistical Mechanics
2009-11-07 v1
Abstract
We study the fluctuations of particles sliding on a stochastically growing surface. This problem can be mapped to motion of passive scalars in a randomly stirred Burger's flow. Renormalization group studies, simulations, and scaling arguments in one dimension, suggest a rich set of phenomena: If particles slide with the avalanche of growth sites (advection with the fluid), they tend to cluster and follow the surface dynamics. However, for particles sliding against the avalanche (anti-advection), we find slower diffusion dynamics, and density fluctuations with no simple relation to the underlying fluid, possibly with continuously varying exponents.
Cite
@article{arxiv.cond-mat/0204464,
title = {Passive Sliders on Growing Surfaces and (anti-)Advection in Burger's Flows},
author = {Barbara Drossel and Mehran Kardar},
journal= {arXiv preprint arXiv:cond-mat/0204464},
year = {2009}
}
Comments
4 pages revtex4