Time-dependent four-point density correlation functions in supercooled liquids
| dc.creator | Glotzer, S. C. | |
| dc.creator | Novikov, V. N. | |
| dc.creator | Schroeder, T. B. | |
| dc.date | 1999-09-07 | |
| dc.date | 1999-10-14 | |
| dc.date.accessioned | 2026-07-07T03:14:29Z | |
| dc.date.available | 2026-07-07T03:14:29Z | |
| dc.description | Dynamical heterogeneity and the decoupling of diffusion and structural relaxation in a supercooled liquid is investigated in terms of a time-dependent, fourth-order density correlation function. The generalized susceptibility $χ_4(t)$ corresponding to this correlation function has a maximum at an intermediate time $t_4^*$, and both $t_4^*$ and $χ_4(t_4^*)$ grow strongly with decreasing temperature. We show that the main contribution to $χ_4(t)$ arises from spatial correlations between temporarily localized (``caged'') particles. We compare $χ_4(t)$ with a generalized susceptibility $χ_M(t)$ related to a correlation function of squared particle displacements, and show that while $t_4^*$ is roughly proportional to the $α$-relaxation time, $t_M^*$ is proportional to the inverse of the self-diffusion coefficient. | |
| dc.description | References updated. Inset added to Figure 3 | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9909113 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9909113 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/29686 | |
| dc.subject | Soft Condensed Matter | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Statistical Mechanics | |
| dc.title | Time-dependent four-point density correlation functions in supercooled liquids | |
| dc.type | text |