Continuum model for radial interface growth

Details Continuum model for radial interface growth Continuum model for radial interface growth

1998-06-04

arxiv.org/abs/cond-mat/9806055v1

Physica A 260 (1998) 11-19

Physics

Condensed Matter

Statistical Mechanics

12 pages, Elsevier style, 5 figures

Scientific paper

A stochastic partial differential equation along the lines of the Kardar-Parisi-Zhang equation is introduced for the evolution of a growing interface in a radial geometry. Regular polygon solutions as well as radially symmetric solutions are identified in the deterministic limit. The polygon solutions, of relevance to on-lattice Eden growth from a seed in the zero-noise limit, are unstable in the continuum in favour of the symmetric solutions. The asymptotic surface width scaling for stochastic radial interface growth is investigated through numerical simulations and found to be characterized by the same scaling exponent as that for stochastic growth on a substrate.

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