Ideal glass transition in a simple two-dimensional lattice model

Z. Rotman, E. Eisenberg

Research output: Contribution to journalArticlepeer-review


We present a simple lattice model showing a glassy behavior. R matrix analysis predicts critical termination of the supercooled fluid branch at density ρg =0.1717. This prediction is confirmed by dynamical numerical simulations, showing power-law divergences of relaxation time τ1/2, as well as the four-susceptibility χ4 peak's location and height exactly at the predicted density. The power-law divergence of χ4 continues up to χ4 as high as 104. Finite-size scaling study reveals the divergence of the correlation length accompanying the transition.

Original languageEnglish
Article number060104
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number6
StatePublished - 22 Dec 2009


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