Maier-Saupe Nematic Order Parameter

Mean-field liquid crystal theory — isotropic↔nematic transition

Temperature T/T*0.90

N molecules150

MC steps/frame50

T/T*: 0.90

Order S: —

S theory: —

Phase: —

Director: —

Maier-Saupe: F = -JS²/2 + kT∫f(θ)ln f(θ)dΩ. Order parameter S = ⟨P₂(cosθ)⟩ = ⟨(3cos²θ-1)/2⟩. First-order transition at T* with S jumping from 0 to ~0.44.