T. Ujihara et K. Osamura, EFFECT OF NONLINEARITY OF THE EVOLUTION EQUATION ON THE SPINODAL DECOMPOSITION PROCESS IN ALLOYS, Physical review. B, Condensed matter, 58(17), 1998, pp. 11371-11376
The spinodal decomposition process is usually described by nonlinear e
volution equations. One of them is the Langer-Bar-on-Miller (LBM) theo
ry that describes the time evolution df a double-Gaussian probability
distribution function of composition. In the present study, LBM theory
was modified in terms of composition dependence of mobility. The refo
rmulated analytical expression was quantitatively applied to the reali
stic structure change. In fact we investigated the nonlinear effect on
phase decomposition using computer simulations based on the present m
odified LBM theory and compared the result with the original LBM theor
y. It was made clear that the additional nonlinear terms played a domi
nant role in the phase decomposition process. Especially, when the pro
bability distribution function becomes broader in the early stage, the
new nonlinear terms contribute to the rapid phase decomposition. [S01
63-1829(98)09041-9].