Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-06-04
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.
Batchelor Murray T.
Henry Bruce Ian
Watt David S.
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