The Linear Stability Analysis:

Parameters:

N_A=10, N_B=100, chi₀=0.055, chi₁=0.036, w₀=0.55, w₁=0.26

All quenches are from the mixed isotropic state. In all cases, there are three modes: two mixed Phi-S_xx modes and an S_xy mode. The first Phi-S_xx mode is always blue. The second Phi-S_xx mode is always red, and the S_xy mode is always green. When only two curves appear, it means that two of the curves overlap directly. All models use the same scaling, namely

xi=M0/sqrt(Chi-Chi_s) and tau=M₀/ (Gamma_pp*(Chi-Chi_s)*(Chi-Chi_s)) Click here if you'd like to see the truncated version of the lsa.

Quench1:

beneath the phase separation spinodal

At early times in the Model0 code, look for:

• director growing parallel to developing interfaces
• domains of characteristic size ~2 pi

Quench2:

beneath the ordering spinodal

• director chooses different directions in different domains as S develops
• domains have no characteristic size
• S and phi change more quickly for this quench than for Quench1

Quench3:

3A: beneath both spinodals, but deeper beneath the phase separation spinodal than the ordering spinodal

• director growing parallel to developing interfaces
• domains of characteristic size ~2 pi

3B: beneath both spinodals, but deeper beneath the ordering spinodal than the phase separation spinodal

• director chooses different directions in different domains as S develops
• domains have no characteristic size
• S and phi change more quickly for this quench than for Quench3A

Go to: Amelia Lapeña'sPhase Diagram Page

Go to: Amelia Lapeña'sElsie Runs Page