Ideal glass transition in a simple 2D lattice model

We present a simple lattice model showing a glassy behavior. $R$ matrix analysis predicts critical termination of the super-cooled fluid branch at density $ρ_g=0.1717$. This prediction is confirmed by dynamical numerical simulations, showing power-law divergences of relaxation time $τ_{1/2}$, as well as the 4-susceptibility $χ_4$ peak's location and height exactly at the predicted density. The power-law divergence of $χ_4$ continues up to $χ_4$ as high as $10^4$. Finite-size scaling study reveals divergence of correlation length accompanying the transition.

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