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Phys. Rev. E 80, 060104(R) (2009) [4 pages]

Ideal glass transition in a simple two-dimensional lattice model

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Z. Rotman and E. Eisenberg
Raymond and Beverly Sackler School of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel

Received 18 August 2009; published 22 December 2009

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.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.80.060104
DOI:
10.1103/PhysRevE.80.060104
PACS:
05.50.+q, 64.70.qj, 61.43.Fs, 64.60.De