Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-03-29
Proceedings of National Conference on Nonlinear Systems and Devices, pages 85-88,(2003)
Physics
Condensed Matter
Statistical Mechanics
4 pages, 3 figures
Scientific paper
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.
Barma Mustansir
Majumdar Satya N.
Nagar Apoorva
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