Direct measurements of the dynamical correlation length indicate its divergence at an athermal glass transition

Details Direct measurements of the dynamical correlation length indicate its divergence at an athermal glass transition Direct measurements of the dynamical correlation length indicate its divergence at an athermal glass transition

2010-08-22

arxiv.org/abs/1008.3688v2

Phys. Rev. Lett., 105, 225503 (2010)

Physics

Condensed Matter

Statistical Mechanics

5 pages 5 figures

Scientific paper

10.1103/PhysRevLett.105.225503

The super-cooled $N3$ model exhibits an increasingly slow dynamics as density approaches the model's random closest packing density. Here, we present a direct measurement of the dynamical correlation function $G_4(r,t)$, showing the emergence of a growing length scale $\xi_4$ across which the dynamics is correlated. The correlation length measured, up to 120 lattice sites, power-law diverges as the density approaches $\rho_t$, the density at which the fluid phase of the model is predicted to terminate. It is shown that the four-point susceptibility, often used as an agent to estimate $\xi_4$, does not depend simply on the latter. Rather, it depends strongly on the short-range behavior of $G_4(r,t)$. Consequently, $\chi_4$ peaks before $\xi_4$ reaches its maximal value. The two quantities should therefore be studied independently.

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