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Mathematical descriptions of nematic polymers in the monolayer limit

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Figure

Figure 2.1: Isotropic-nematic transition diagram without flow of the 2D Doi closure model
Figure 2.2: Isotropic-nematic transition diagram for 3D nematic liquids. The equilibrium branches s 0 = 0 and s ± = 1±3
Figure 2.3: The scaling behavior of the bifurcation point LP2, Fig. 2.5. The solid line is the analytical prediction, while the diamonds represent LP2 points obtained by AUTO.
Figure 2.4: The steady state Leslie alignment angle θ, formula (2.40), plotted versus nematic concentration N for aspect ratio r = 3
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