Europhys. Lett.
Volume 72, Number 4, November 2005
Page(s) 604 - 610
Section Condensed matter: structural, mechanical and thermal properties
Published online 14 October 2005
Europhys. Lett., 72 (4), pp. 604-610 (2005)
DOI: 10.1209/epl/i2005-10287-7

The role of discrete-particle noise in the Ostwald ripening

B. Meerson1, L. M. Sander2 and P. Smereka3

1  Racah Institute of Physics, Hebrew University of Jerusalem - Jerusalem 91904, Israel
2  Michigan Center for Theoretical Physics, Department of Physics University of Michigan - Ann Arbor, MI 48109-1120, USA
3  Department of Mathematics, University of Michigan Ann Arbor, MI 48109-1120, USA

received 10 July 2005; accepted in final form 27 September 2005
published online 14 October 2005

We investigate the role of discrete-particle noise in interface-controlled Ostwald ripening. We introduce the noise within the framework of the Becker-Döring equations, and employ both Monte Carlo simulations and direct numerical solution of these equations. We find that the noise drives the system towards a unique scaling regime describable by a limiting solution of a classical continuum theory due to Lifshitz, Slyozov and Wagner. The convergence towards the scaling solution is extremely slow, and we report a systematic deviation between the observed small correction to scaling and a theoretical prediction of this quantity.

68.43.Jk - Diffusion of adsorbates, kinetics of coarsening and aggregation.
05.10.Gg - Stochastic analysis methods (Fokker-Planck, Langevin, etc.).
05.10.-a - Computational methods in statistical physics and nonlinear dynamics.

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