Passive sliders on fluctuating surfaces : Strong-clustering states

We study the clustering properties of particles sliding downwards on a fluctuating surface evolving through the Kardar-Parisi-Zhang equation, a problem equivalent to passive scalars driven by a Burgers fluid. Monte Carlo simulations on a discrete version of the problem in one dimension reveal that p...

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Bibliographic Details
Published in:Physical review letters 2005-06, Vol.94 (24), p.240601.1-240601.4, Article 240601
Main Authors: NAGAR, Apoorva, BARMA, Mustansir, MAJUMDAR, Satya N
Format: Article
Language:English
Subjects:
Condensed Matter
Exact sciences and technology
Fluctuation phenomena, random processes, noise, and brownian motion
Physics
Statistical Mechanics
Statistical physics, thermodynamics, and nonlinear dynamical systems
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Summary:We study the clustering properties of particles sliding downwards on a fluctuating surface evolving through the Kardar-Parisi-Zhang equation, a problem equivalent to passive scalars driven by a Burgers fluid. Monte Carlo simulations on a discrete version of the problem in one dimension reveal that particles cluster very strongly: the two point density correlation function scales with the system size with a scaling function which diverges at small argument. Analytic results are obtained for the Sinai problem of random walkers in a quenched random landscape. This equilibrium system too has a singular scaling function which agrees remarkably with that for advected particles.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.94.240601