Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-04-22
Physics
Condensed Matter
Statistical Mechanics
4 pages revtex4
Scientific paper
10.1103/PhysRevB.66.195414
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.
Drossel Barbara
Kardar Mehran
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