Mode-Coupling Theory — Dynamic Divergence

τ ~ (T−T_c)^(−γ) · two-step relaxation near glass transition

τ_α:  |  f_q (plateau):  |  γ ≈ 2.46
Mode-coupling theory (MCT) predicts a dynamic glass transition at T_c where the structural relaxation time diverges: τ_α ~ (T/T_c − 1)^(−γ), γ ≈ 2.46. The density correlator C(t) shows two-step relaxation: fast β-relaxation to a plateau f_q (non-ergodicity parameter), followed by slow α-relaxation (structural relaxation). At T→T_c, the plateau extends to ∞.