Abstract
A general globally constrained reaction-diffusion equation is suggested that describes formation of equilibrium domains and competition between domains in bistable media. We study the stability properties of domains (strips and perfect circlular or spherical "drops") in one, two, and three dimensions. The dynamics of the distribution function (DF) of many drops with respect to their radii is mapped into a mean-field model of Ostwald ripening. A family of similarity solutions for the DF is found, and the long-standing problem of selection rule for the "correct" asymptotic DF is solved.
| Original language | English |
|---|---|
| Pages (from-to) | 3491-3494 |
| Number of pages | 4 |
| Journal | Physical Review E |
| Volume | 53 |
| Issue number | 4 SUPPL. A |
| DOIs | |
| State | Published - 1996 |