Coarsening rates for models of multicomponent phase separation

Coarsening rates for models of multicomponent phase separation

We study the coarsening of solutions of two models of multicomponent phase separation. One is a constant mobility system; the other is a degenerate mobility system. These models are natural generalizations of the Cahn-Hilliard equation to the case of a vector-valued order parameter. It has been conjectured that the characteristic length scale `(t) grows like t as t→∞ for the first case and ` ∼ ...

Title of dissertation: UNIVERSAL BOUNDS ON COARSENING RATES FOR SOME MODELS OF PHASE TRANSITIONS

Title of dissertation: UNIVERSAL BOUNDS ON COARSENING RATES FOR SOME MODELS OF PHASE TRANSITIONS Shibin Dai, Doctor of Philosophy, 2005 Dissertation directed by: Professor Robert L. Pego Department of Mathematics In this thesis, we prove one-sided, universal bounds on coarsening rates for three models of phase transitions by following a strategy developed by Kohn and Otto (Comm. Math. Phys. 229...

Universal Bounds on Coarsening Rates for Mean-Field Models of Phase Transitions

We prove one-sided universal bounds on coarsening rates for two kinds of mean field models of phase transitions, one with a coarsening rate l ∼ t and the other with l ∼ t. Here l is a characteristic length scale. These bounds are both proved by following a strategy developed by Kohn and Otto (Comm. Math. Phys. 229 (2002), 375-395). The l ∼ t rate is proved using a new dissipation relation which...

Phase Separation in Multicomponent Aqueous-Protein Solutions

published in Advance ACS Abstracts, December 1, 1994. 0022-3654/95/2099-0454$09.00/0 we present here the results of experimental and theoretical studies of a ternary solution constituted of the proteins yma (designated as protein A), a “high-Tc” protein, and yw (designated as protein B), a “low-Tc” protein, in aqueous solution. The solution pH was kept constant at 7.1 by a 100 mM phosphate buff...

Coarsening in Multicomponent Multiphase Systems