Passive Sliders on Fluctuating Surfaces: Strong-Clustering States
Statistical Mechanics
2009-11-11 v1
Abstract
We study the clustering properties of particles sliding downwards on a fluctuating surface evolving through the Kardar-Parisi-Zhang equation, a problem equivalent to passive scalars driven by a Burgers fluid. Monte Carlo simulations on a discrete version of the problem in one dimension reveal that particles cluster very strongly: the two point density correlation function scales with the system size with a scaling function which diverges at small argument. Analytic results are obtained for the Sinai problem of random walkers in a quenched random landscape. This equilibrium system too has a singular scaling function which agrees remarkably with that for advected particles.
Cite
@article{arxiv.cond-mat/0505292,
title = {Passive Sliders on Fluctuating Surfaces: Strong-Clustering States},
author = {Apoorva Nagar and Mustansir Barma and Satya N. Majumdar},
journal= {arXiv preprint arXiv:cond-mat/0505292},
year = {2009}
}
Comments
To be published in Physical Review Letters