Resulting intermediate/late-time structure: Elongated LC-rich and polymer-rich domains. Similar domains coalesce. We observe a stripe phase. View phi and S profiles. Although this is a critical quench and we expect a bicontinuous phase to form, this system size of N=100 may be too small for reliable results at late times. Runs conducted on larger sizes under the same quenching conditions show and thus imply that we need to examine a much larger system to study domain growth kinetics for such a quench.
Evolution of degree of PS and PO.
for PS (red): delta_phi(t) = phimax(t) - phimin(t)
for PO (blue): S(t) = Smax(t)
Plot indicates that PS is significant at t=8 and PO is significant at t~28. phi and S profiles reveal that these times (at which this plot indicates a high degree of PS and PO) represent when PS and PO begin to be significant. (That is, there is at least one or two small regions that have strongly phase separated or ordered.)
For this quench, PS is strong at t=10. PO, however, is not well-established until t~34, when the LCs in several LC-rich domains are highly ordered. By t=30 there are only a couple of small, higly ordered LC-rich droplets.
#1: "new" k1 -- from phi-based S(k).
Initially, R ~ t1/3.
At t~30, domain growth slows down.
Early-time t1/3 behavior implies that our system follows a Model-B-like behavior. This is plausible because ordering is not yet significant.
Domain growth slows down when the LCs in the LC-rich droplets begin to have strong alignment.
Late-time data may not be reliable. This system forms "wavy" stripes by t=46 that become "stiff" (i.e., very straight interfaces) stripes by t=90. Thus, this system is probably too small for a dependable analysis on its late-time behavior. (See comments above.)
#2: "old" k1 -- from phi-based S(k).
R ~ t1/2 --> slower than t1/2.
Late-time data may not be reliable. (See comments above.)
Since we really only consider "new" k1-based results, we make no comments on this t1/2 behavior.
We can compare these results to those of a different lattice size:
To view directly the results of those of a different lattice size:
Jump to the individual results of the quench with (phi0, T, N) of:
Other links:
www.chem.ucla.edu/~aml/research.html
Last updated August 1, 1999.