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Passive Sliders on Growing Surfaces and (anti-)Advection in Burger's Flows

Barbara Drossel·Mehran Kardar
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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.

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Barbara Drossel, Mehran Kardar. 2002-04-22. Passive Sliders on Growing Surfaces and (anti-)Advection in Burger's Flows. https://doi.org/10.1103/physrevb.66.195414

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