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arXiv · 0908.2595

Ideal glass transition in a simple 2D lattice model

Z. Rotman·E. Eisenberg
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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.

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BibTeXRIS

Z. Rotman, E. Eisenberg. 2009-08-18. Ideal glass transition in a simple 2D lattice model. https://doi.org/10.1103/physreve.80.060104

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