T=0.75 Quenches -- Set 1

We present the results of the systems quenched to a reduced temperature of 0.75.

F31-2 Run: phi0=0.68 T=0.75 N=150

Initially unstable with respect to PS only.

PS significant by t=6. PO significant by t=14. See separate analysis on this quench.

Resulting intermediate/late-time structure: Elongated LC-rich domains (minor phase) in a polymer-rich matrix (major phase). View phi and S profiles.

#1: "new" k₁ -- from phi-based S(k).
R ~ t^1/3 (for a very short time) --> slower than t^1/4.
t^1/3 behavior short-lived for this deeper quench. (Compare with shallower quench A4-1.) Ordering is already significant by the time either quench exhibits growth slower than t^1/3. Perhaps the time at which domain growth slows down is when the rate for ordering becomes greater than the rate for PS. (Ordering may be significant, but may not "grow" at a faster rate than PS.) How do we determine this?
PS greater/faster with deeper quench => faster PS leads to PO earlier even though both quenches are INITIALLY unstable wrt PS ONLY. Slower domain growth in nonlinear regime already.
At first, domain growth for the shallower quench (A4) is faster than for this deeper quench (F3), but domain growth for shallow quench eventually slows down and this results in a faster growth rate for the deeper quench.

F61-2 Run: phi0=0.83 T=0.75 N=150

Initially unstable with respect to PS only.

PS significant by t=6. PO significant by t=8. See separate analysis on this quench.

Resulting intermediate/late-time structure: Elongated polymer-rich domains (minor phase) in a LC-rich matrix (major phase). View phi and S profiles.

#2: new" k₁ -- from phi-based S(k).
Initially, domain growth is slightly faster than t^1/3; R ~ t^0.36. Averaging over more runs (each initialized with a different configuration), perhaps, will lead to R ~ t^1/3.
At t~32, domain growth slows down dramatically; R ~ t^0.10. The phi and S profiles, however, reveal that at this time only elongated or oval polymer-rich domains are present. No small droplets exist. System size may be too small and thus, coarsening may not be proceeding properly.

F21-2 Run: phi0=0.84 T=0.75 N=150

Initially unstable with respect to PS and PO, but more unstable with respect to PS.

PS significant by t=6. PO significant by t=8. See separate analysis on this quench.

Resulting intermediate/late-time structure: Elongated and noncircular polymer-rich domains (minor phase) in a LC-rich matrix (major phase). View phi and S profiles.

#3: new" k₁ -- from phi-based S(k).
Initially, R ~ t^1/2 - t^1/3.
At t~30, domain growth slower than t^1/3.
Initially, domain growth appears to have a t^1/3 growth law (Model B). Growth slows down around t=30, but PS and PO both well-established by t=6. What causes the slowing down? Should we even get t^1/3 behavior? Perhaps the initial behavior is transient and the only significant result is the eventual slowing down of domain growth due to the coupling of PS and PO.
Also, data for t>50 may not be reliable. At t=48, there are only four domains left!
Note: Initial growth behavior is actually slightly faster than t^1/3, and we get similar behavior for the C2-1 (phi0=0.85, T=0.75, N=150) quench. Recall that C2-1, like this quench, is unstable wrt PS and PO, but more unstable wrt PS.

F5-2 Run: phi0=0.86 T=0.75 N=150

Initially unstable with respect to PS and PO, but more unstable with respect to PO.

PS significant by t=3. PO significant by t=2. See separate analysis on this quench.

Resulting intermediate/late-time structure: Noncircular polymer-rich domains (minor phase) in a LC-rich matrix (major phase). View phi and S profiles.

#4: new" k₁ -- from phi-based S(k).
Initial behavior: R ~ t^1/4 (very short time!).
Domain growth immediately slower than t^1/3 (Model B) due to the strong ordering from the beginning. Domain growth slows down even more after t=12.

F11-2 Run: phi0=0.87 T=0.75 N=150

Initially unstable with respect to PS and PO, but more unstable with respect to PO.

PS significant by t=1.4. PO significant by t=1.4. See separate analysis on this quench.

Resulting intermediate/late-time structure: Noncircular polymer-rich domains (minor phase) in a LC-rich matrix (major phase). View phi and S profiles.

#5: new" k₁ -- from phi-based S(k).
Domain growth slower than t^1/3 immediately; no "intermediate" t^1/3 behavior. Significant ordering from the start causes domain growth to slow down from the start.
(Remember that power-law fits are meant as guides only and no way imply scaling behavior.)

F4a-2 Run: phi0=0.88 T=0.75 N=150

Initially unstable with respect to PS and PO, but more unstable with respect to PO.

PS significant by t=0.30. PO significant by t=0.27. See separate analysis on this quench.

Resulting intermediate/late-time structure: Noncircular polymer-rich domains (minor phase) in a LC-rich matrix (major phase). View phi and S profiles.

#6: new" k₁ -- from phi-based S(k).
R ~ t^1/4. Domain growth slower than t^1/3 immediately; no "intermediate" t^1/3 behavior. Significant ordering from the start causes domain growth to slow down from the start.

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.