Long Time Tail of the Velocity Autocorrelation Function in a Two-Dimensional Moderately Dense Hard Disk Fluid
| dc.creator | Isobe, Masaharu | |
| dc.date | 2008-01-26 | |
| dc.date.accessioned | 2026-07-07T09:36:35Z | |
| dc.date.available | 2026-07-07T09:36:35Z | |
| dc.description | Alder and Wainwright discovered the slow power decay $\sim t^{-d/2}$ ($d$:dimension) of the velocity autocorrelation function in moderately dense hard sphere fluids using the event-driven molecular dynamics simulations. In the two-dimensional case, the diffusion coefficient derived using the time correlation expression in linear response theory shows logarithmic divergence, which is called the ``2D long-time-tail problem''. We revisited this problem to perform a large-scale, long-time simulation with one million hard disks using a modern efficient algorithm and found that the decay of the long tail in moderately dense fluids is slightly faster than the power decay ($\sim 1/t$). We also compared our numerical data with the prediction of the self-consistent mode-coupling theory in the long time limit ($\sim 1/(t\sqrt{\ln{t}})$). | |
| dc.description | 5 pages, 5 figures, to appear in Phys. Rev. E | |
| dc.identifier | https://arxiv.org/abs/0801.4094 | |
| dc.identifier | http://arxiv.org/abs/0801.4094 | |
| dc.identifier | Phys. Rev. E 77, 021201 (2008) | |
| dc.identifier | doi:10.1103/PhysRevE.77.021201 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160169 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Long Time Tail of the Velocity Autocorrelation Function in a Two-Dimensional Moderately Dense Hard Disk Fluid | |
| dc.type | text |