Off-Critical Quench Comparison: phi0=0.68 T = 0.95 (A4 Runs)

Initially unstable with respect to PS only.

Comparing with A. Al Sunaidi's B2 run: phi0=0.68, 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^2/3 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: N=150 (with error bars).
Initially: R ~ t^1/3.
t ~ 50: domain growth slows down.
(Note: PS already well-established by t=20. LC-rich droplets possess significant ordering, only starting at t~30.) We observe no t^2/3 domain growth law, as indicated by Al Sunaidi's results. Our contradictory results may arise because we (1) use a larger system size, N=150, or (2) define the first moment, k₁, differently. We use the "new" k₁, whereas Al Sunaidi probably uses the "old" k₁. (Consult our analyses for further study on this quench.)
Plot #2 gives our results, assuming the "old" k₁ definition.

#2: Our results, using "old" k₁:
Initially: R ~ t^2/3.
t ~ 40: domain growth slows down.
Al Sunaidi's results show the same t^2/3 behavior from t=20 to t_max = 40. Plot #3 focusses our results within this time range.

#3: Our results: N=150, t=20 and t=40 data only (with error bars).
Using "old" k₁ data, we can get a t^2/3 fit within the error bars. This seems to reconcile our "inconsistent" results with those of Al Sunaidi's.
Using the "new" k₁data: R(t) ~ t^1/3.

#4: N=100 (like Al Sunaidi's system), using "old" k₁.
Initially, R ~ t^1/2 from t~20 to t~60. [Data for t>60 may not be reliable. N=100 system may be too small. At t=60, only large, ordered LC-rich domains exist, but the system needs small domains present for coarsening to proceed properly. Otherwise, coarsening slow down may be due to small system size. View phi and S profiles.]
Possible t^2/3 growth law from t=26 to t=50 (very short time range). With more statistics (i.e., additional runs with different initial configurations) we may recover Al Sunaidi's results, showing t^2/3 behavior.

#5: N=250, using "old" k₁ data.
Growth law approaches a possible t^2/3 behavior for t<40. This system, however, does not maintain this behavior. See this quench's in-depth analysis.

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.