Direct measurements of the dynamical correlation length indicate its divergence at an athermal glass transition
| Autor: | Eli Eisenberg, Ziv Rotman |
|---|---|
| Rok vydání: | 2010 |
| Předmět: |
Physics
Length scale Condensed matter physics Statistical Mechanics (cond-mat.stat-mech) General Physics and Astronomy FOS: Physical sciences Condensed Matter - Soft Condensed Matter Power law Correlation function (statistical mechanics) Sphere packing Lattice (order) Soft Condensed Matter (cond-mat.soft) Fluid phase Supercooling Glass transition Condensed Matter - Statistical Mechanics |
| DOI: | 10.48550/arxiv.1008.3688 |
| Popis: | 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. Comment: 5 pages 5 figures |
| Databáze: | OpenAIRE |
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