Ideal glass transition in a simple 2D lattice model

Abstract

We present a simple lattice model showing a glassy behavior. $R$ matrix analysis predicts critical termination of the super-cooled fluid branch at density ${\rho }_g=0.1717$. This prediction is confirmed by dynamical numerical simulations, showing power-law divergences of relaxation time ${\tau }_{1/2}$, as well as the 4-susceptibility ${\chi }_4$ peak's location and height exactly at the predicted density. The power-law divergence of ${\chi }_4$ continues up to ${\chi }_4$ as high as $10^4$. Finite-size scaling study reveals divergence of correlation length accompanying the transition.

4 pages, 4 figures