The dynamics of nucleation in stochastic Cahn-Morral systems

49. Jonathan P. Desi, Hanein Edrees, Jonathan Price, Evelyn Sander, Thomas Wanner:
    The dynamics of nucleation in stochastic Cahn-Morral systems
    SIAM Journal on Applied Dynamical Systems 10(2), pp. 707-743, 2011.

Abstract

Cahn-Morral systems serve as models for several phase separation phenomena in multi-component alloys. In this paper we study the dynamical aspects of nucleation in a stochastic version of these models using numerical simulations, concentrating on ternary, i.e., three-component, alloys on two-dimensional square domains. We perform numerical studies and give a statistical classification for the distribution of droplet types as the component structure of the alloy is varied. We relate these statistics to the low-energy equilibria of the deterministic equation.

Links

The published version of the paper can be found at https://doi.org/10.1137/100801378.

Bibtex

@article{desi:etal:11a,
   author = {Jonathan P. Desi and Hanein Edrees and Jonathan Price and
             Evelyn Sander and Thomas Wanner},
   title = {The dynamics of nucleation in stochastic
            {C}ahn-{M}orral systems},
   year = 2011,
   journal = {SIAM Journal on Applied Dynamical Systems},
   volume = 10,
   number = 2,
   pages = {707--743},
   doi = {10.1137/100801378}
   }