Clustering of advected passive sliders on a fluctuating surface

Apoorva Nagar; Mustansir Barma; Satya N. Majumdar

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Clustering of advected passive sliders on a fluctuating surface

Apoorva Nagar·Mustansir Barma·Satya N. Majumdar

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Abstract

We study the clustering properties of advected, non-interacting,passive scalar particles in a Burgers fluid with noise, a problem which maps to that of passive sliding particles moving under gravity on a surface evolving through the Kardar-Parisi-Zhang equation. Numerical simulations show that both the density-density correlation function and the single-site mass distribution scale with system size. The scaling functions diverge at small argument, indicating strong clustering of particles. We analytically evaluate the scaling functions for the two-point correlation and mass distribution of noninteracting particles in thermal equilibrium in a random landscape, and find that the results are remarkably similar to those for nonequilibrium advection.

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Apoorva Nagar, Mustansir Barma, Satya N. Majumdar. 2004-03-29. Clustering of advected passive sliders on a fluctuating surface. https://arxiv.org/abs/cond-mat/0403711

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