The role of discrete-particle noise in the Ostwald ripening

Abstract

We investigate the role of discrete-particle noise in interface-controlled Ostwald ripening. We introduce the noise within the framework of the Becker-Doering 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.

arXiv comment7 pages, 4 figures, to appear in Europhys. Lett

References in corpus (9)

• Rare Events Statistics in Reaction--Diffusion Systems
• Non-self-similar behavior in the LSW theory of Ostwald ripening
• Electrostatically-Driven Granular Media: Phase Transitions and Coarsening
• Phase ordering with a global conservation law: Ostwald ripening and coalescence
• Phase Separation and Coarsening in Electrostatically Driven Granular Media
• Weak selection and stability of localized distributions in Ostwald ripening
• Coarsening of granular clusters: two types of scaling behaviors
• Fluctuations provide strong selection in Ostwald ripening
• Far-from-equilibrium Ostwald ripening in electrostatically driven granular powders