Phase Separation Driven by a Fluctuating Two-Dimensional Self-Affine Potential Field |
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Authors: | G Manoj Mustansir Barma |
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Institution: | (1) The Institute of Mathematical Sciences, C. I. T. Campus, Chennai, 600 113, India;(2) Department of Physics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, 24061-0435;(3) Department of Theoretical Physics, Tata Institute of Fundamental Research, Mumbai, 400 005, India |
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Abstract: | 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 symmetry 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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Keywords: | Self-affine surface phase ordering sliding particles |
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