Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-08-18
Phys. Rev. E80 060104 (RC) (2009)
Physics
Condensed Matter
Statistical Mechanics
4 pages, 4 figures
Scientific paper
10.1103/PhysRevE.80.060104
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.
Eisenberg Eli
Rotman Ziv
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