Sa. Kukushkin et Vv. Slyozov, THEORY OF THE OSTWALD RIPENING IN MULTICOMPONENT SYSTEMS UNDER NONISOTHERMAL CONDITIONS, Journal of physics and chemistry of solids, 57(2), 1996, pp. 195-204
The Ostwald ripening of a new phase during decomposition and crystalli
zation in multicomponent and multiphase solutions and melts is investi
gated. Both conservative and open systems under non-isothermal conditi
ons are considered. It is shown that heat of chemical reaction will be
liberated during the Ostwald ripening of new phase nuclei, and the he
at liberated will increase the temperature of the system, leading to a
change in the equilibrium composition of the components. Under these
conditions some of the nuclei of the new phase will be unstable, and t
he diffusion and thermal fields will become self-consistent. A set of
equations describing the evolution of such systems is derived and solv
ed. It is shown that the size distribution functions for nuclei of the
new phases are universal; as for the types of phases, these are deter
mined by the relation between the quantities of dissolved substances,
temperature and chemical reaction constants. An algebraic set of equat
ions determining the types of co-existing phases of chemical compounds
is obtained, and for each phase the size distribution function at a g
iven time interval is found. General equations are also derived defini
ng the regions of phase coexistence in the space of concentration and
temperature. The formation or removal of a substance, and cooling or h
eating of a system lead to a redistribution of the size and compositio
n of nuclei of the new phase. It is shown that there is an opportunity
to control the structure and composition of a decomposed multicompone
nt solid solution, and the crystallization of a multicomponent melt.