The role of discrete-particle noise in the Ostwald ripeningB. 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.
© EDP Sciences 2005