Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-01-26
Phys. Rev. E 77, 021201 (2008)
Physics
Condensed Matter
Statistical Mechanics
5 pages, 5 figures, to appear in Phys. Rev. E
Scientific paper
10.1103/PhysRevE.77.021201
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 ($\sim 1/(t\sqrt{\ln{t}})$).
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