The composition variation,
q(
x,
t) in a supersaturated solid solution of average composition,
c0, is written as
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\
oindentThe composition variation peak at
x=0 conforming to the conditions,
qx=0>0, (∂
q⁄∂
x)
x=0=0 and (∂
2q⁄∂
x2)
x=0=−β
2∑
hh2Q(
h)<0, rises by diffusion if −\ ilde
Dx=0>0. \ ilde
Dx=0 is an interdiffusion coefficient of composition at
x=0. When the gradient energy is taken into consideration, this condition is given by
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\
oindentHere ψ=−2
kβ
2[∑
hh4Q(
h)⁄∑
hh2Q(
h)]
k is (gradient energy coefficient)×(mobility of atoms).
The function,
Q(
h), is a Fourier spectrum which represents the composition variation. An initial Fourier spectrum,
Qi(
h), chosen arbitrarily changes to spectra,
Qd(
h), with amplification of composition variations by diffusion, and then to spectra
Qa(
h). In
Qd(
h)
Q(
h)>0 for all
h when the composition variation peaks defined above are formed, and in
Qa(
h) the sings of
Q(
h) alternate with increasing
h. Thus, ∑
hh4Q(
h)>0 for
Qd(
h) and ∑
hh4Q(
h)<0 for fully developed
Qa(
h). In low solute alloys
Qd(
h) develops highly, hence the formation of
Qa(
h) is retarded. In high solute alloys well-developed
Qd(
h) is not formed. This difference of spectra determined whether eq. (2) holds or not.
In the alloy system whose spinodal compositions are 0.24 and 0.76, amplification processes of composition variations which have the largest peak at
x=0 are simulated by the computer. In alloys of
c0>0.15, ψ turns out to be positive before
c0+
qx=0=0.76 has attained, and the composition peak reaches an equilibrium composition by virtue of ψ. In alloys of
c0<0.15 the composition peak diminishes even in the composition range of −\ ilde
Dx=0>0 as a result of the decrease in ψ.
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