Particles Sliding on a Fluctuating Surface: Phase Separation and Power Laws

Details Particles Sliding on a Fluctuating Surface: Phase Separation and Power Laws Particles Sliding on a Fluctuating Surface: Phase Separation and Power Laws

2000-02-18

arxiv.org/abs/cond-mat/0002294v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 Postscript figures

Scientific paper

10.1103/PhysRevLett.85.1602

We study a system of hard-core particles sliding downwards on a fluctuating one-dimensional surface which is characterized by a dynamical exponent $z$. In numerical simulations, an initially random particle density is found to coarsen and obey scaling with a growing length scale $\sim t^{1/z}$. The structure factor deviates from the Porod law in some cases. The steady state is unusual in that the density-segregation order parameter shows strong fluctuations. The two-point correlation function has a scaling form with a cusp at small argument which we relate to a power law distribution of particle cluster sizes. Exact results on a related model of surface depths provides insight into the origin of this behaviour.

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