Phase separation driven by a fluctuating two-dimensional self-affine potential field

Details Phase separation driven by a fluctuating two-dimensional self-affine potential field Phase separation driven by a fluctuating two-dimensional self-affine potential field

2002-07-08

arxiv.org/abs/cond-mat/0207209v1

J. Stat. Phys. 110(3):1305-1316 (2003)

Physics

Condensed Matter

Statistical Mechanics

6 pages in RevTeX 2 column, 6 figures, submitted to J. Stat. Phys

Scientific paper

We study phase separation in a system of hard-core particles driven by a fluctuating two-dimensional self-affine potential landscape which evolves through Kardar-Parisi-Zhang (KPZ) dynamics. We find that particles tend to cluster together on a length scale which grows in time. The final phase-separated steady state is characterized by an unusual cusp singularity in the scaled correlation function and a broad distribution for the order parameter. Unlike the one-dimensional case studied earlier, the cluster-size distribution is asymmetric between particles and holes, reflecting the broken reflection symmetery of the KPZ dynamics, and has a contribution from an infinite cluster in addition to a power law part. A study of the surface in terms of coarse-grained depth variables helps understand many of these features.

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