Volume 72, Number 4, November 2005
|Page(s)||604 - 610|
|Section||Condensed matter: structural, mechanical and thermal properties|
|Published online||14 October 2005|
The role of discrete-particle noise in the Ostwald ripening
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
Accepted: 27 September 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.
PACS: 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
© EDP Sciences, 2005
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