Two-dimensional Ostwald ripening with irreversible absorption or reaction on boundaries

Vladimir P. Zhdanov

Physica A: Statistical Mechanics and its Applications, 2020, vol. 537, issue C

Abstract: During Ostwald ripening, the growth of larger patches occurs at the expense of smaller ones via detachment, diffusion, and attachment of monomers. Customarily, the processes belonging to this important class are simulated with periodic boundary conditions. The two-dimensional Monte Carlo simulations presented herein are focused on the situation when diffusing monomers disappear as soon as they reach the lattice boundaries. For the Fickian diffusion (without the driving force for ripening), the shape of the corresponding kinetics and the time scale characterizing the drop of the concentration are independent of the initial concentration of monomers, the shape is independent of the lattice size as well, while the time scale is inversely proportional to the square of the lattice size. With attractive interaction between monomers (this is the driving force for ripening), the time scale characterizing the drop of the concentration remains to be nearly inversely proportional to the square of the lattice size but increases with increasing the initial concentration of monomers. The lattice snapshots show that with increasing time the Ostwald-type patches first rapidly reach appreciable size, but then disappear at the periphery due the loss of monomers at the boundaries. The central area where these patches are observed shrinks, and nevertheless the patches grow there.

Keywords: Mean-field kinetic equations; Monte Carlo simulations; Stochastic kinetics (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S037843711931386X
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:537:y:2020:i:c:s037843711931386x

DOI: 10.1016/j.physa.2019.122405

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().