Critical Quench Comparison: phi0=0.76 T = 0.95 (A2 Runs)

Initially unstable with respect to PS only.

Comparing with A. Al Sunaidi's A2 run: phi0=0.76, T = 0.95, N=100.

Results based on the "old" and the "new" k₁ (both defined on the introductory page) are shown below. Al Sunaidi's results reveal a t^1/2 growth law, particularly for times of 20 < t < 40 (where t_max=40). This result does not appear to agree with our results for a similar quench with N=150. Where is the inconsistency?

#1: Our results, "new" k₁ -- from phi-based S(k):
Initially: R ~ t^1/3.
t ~ 30: domain growth slows down.
Results disagree with Al Sunaidi's results which show R approaching a t^1/2 growth law at late times. This inconsistency may arise from (1) our using a larger system size of N=150 or (2) our different definitions of k₁. We use the "new" k₁ definiton, whereas Al Sunaidi probably uses the "old" k₁ one.
Plot #2 gives our results, assuming the "old" k₁ definition. Plot #3 also uses the "old" k₁, but examines the N=100 system.

#2: Our results, using "old" k₁ -- from phi-based S(k).
Initially: R ~ t^1/2.
t ~ 34: domain growth slows down.
Our early-time results appear to agree with Al Sunaidi's results of R ~ t^1/2.

#3: N=100 (like Al Sunaidi's system); using "old" k₁ -- from phi-based S(k).
t~20 -> t~40: R~t^1/2.
Our results appear to agree with Al Sunaidi's results. (Note: Al Sunaidi's results show t_max=40.)
Results based on "new" k₁ values show that R~t^1/3 up to t~40.

Further comments on this critical quench:
Resulting Morphology: Polymer-rich domains surrounded by disordered LC-rich regions. These polymer-rich domains coalesce and form stripes, as the LC-rich regions become more ordered and also form stripes. This stripe formation can be plausible since this is a critical quench and we expect a bicontinuous phase to form. A system size of N=100, however, may be too small for reliable results at late times. Al Sunaidi's results may still be reliable because these "stiff" stripes do not appear until times later than those he studied. Furthermore, as shown in the plots above, the t^1/2 growth law can be obtained. His results, however, may not have sampled the truly late-time (but prior to when hydrodynamic effects matter) regime. Runs conducted on larger sizes under the same quenching conditions show no "stiff" stripes and thus imply that we need to examine a much larger system to study domain growth kinetics for this quench. (View N=100 phi and S profiles.)

Particular quenches:

Jump to the individual results of the quench with (phi0, T, N) of:

A2: 0.76, 0.95, 100	A21-2: 0.76, 0.95, 150	A4: 0.68, 0.95, 100	A4-1: 0.68, 0.95, 150	A41-250-2: 0.68, 0.95, 250
F31-2: 0.68, 0.75, 150	H21-2: 0.75, 0.75, 150	H41-2: 0.80, 0.75, 150	F61-2: 0.83, 0.75, 150	F21-2: 0.84, 0.75, 150
C2-1: 0.85, 0.75, 150	C21-250-2: 0.85, 0.75, 250	F5-2: 0.86, 0.75, 150	F11-2: 0.87, 0.75, 150	F4a-2: 0.88, 0.75, 150
E7-2: 0.89, 0.75, 150	E71-250-2: 0.89, 0.75, 250	G11-2: 0.68, 0.85, 150	H11-2: 0.75, 0.85, 150	H31-2: 0.80, 0.85, 150
G21-2: 0.83, 0.85, 150	G31-2: 0.84, 0.85, 150	G41-2: 0.85, 0.85, 150	G51-2: 0.86, 0.85, 150	G61-2: 0.87, 0.85, 150

Other links:

• Additional Quenches -- an overview
  • T=0.75 Quenches
  • T=0.85 Quenches
  • phi0=0.68 Quenches
  • phi0=0.83 Quenches
  • phi0=0.84 Quenches
  • phi0=0.85 Quenches
  • phi0=0.86 Quenches
  • phi0=0.87 Quenches
• Critical Quench Comparison
• Off-critical Quench Comparison

Last updated August 1, 1999.