Passive sliders on growing surfaces and advection in Burger's flows
Abstract
We study the fluctuations of particles sliding on a stochastically growing surface. This problem can be mapped onto the 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, apparently with continuously varying exponents.
- Publication:
-
Physical Review B
- Pub Date:
- November 2002
- DOI:
- 10.1103/PhysRevB.66.195414
- arXiv:
- arXiv:cond-mat/0204464
- Bibcode:
- 2002PhRvB..66s5414D
- Keywords:
-
- 68.35.Rh;
- 02.50.Ey;
- 64.60.Ht;
- Phase transitions and critical phenomena;
- Stochastic processes;
- Dynamic critical phenomena;
- Condensed Matter - Statistical Mechanics
- E-Print:
- 4 pages revtex4