TY - JOUR
T1 - Velocity autocorrelation functions of hard-sphere fluids
T2 - Long-time tails upon undercooling
AU - Williams, Stephen R.
AU - Bryant, G.
AU - Snook, I. K.
AU - Van Megen, W.
PY - 2006
Y1 - 2006
N2 - Molecular dynamics simulations are employed to obtain the velocity autocorrelation function (VAF) for hard spheres, spanning a wide range of volume fractions from dilute to high-density metastable fluids. For all volume fractions below freezing, Alder's classical positive 3/2 long-time tail is observed. For volume fractions from 0.45 to 0.48 the VAF becomes negative, before becoming positive and decaying with the positive 3/2 long-time tail. At the freezing volume fraction (0.494) the Alder 3/2 tail is not observed. At higher volume fractions a negative tail with an exponent of 5/2 emerges, which coincides with the long-time tail of a Lorentz gas.
AB - Molecular dynamics simulations are employed to obtain the velocity autocorrelation function (VAF) for hard spheres, spanning a wide range of volume fractions from dilute to high-density metastable fluids. For all volume fractions below freezing, Alder's classical positive 3/2 long-time tail is observed. For volume fractions from 0.45 to 0.48 the VAF becomes negative, before becoming positive and decaying with the positive 3/2 long-time tail. At the freezing volume fraction (0.494) the Alder 3/2 tail is not observed. At higher volume fractions a negative tail with an exponent of 5/2 emerges, which coincides with the long-time tail of a Lorentz gas.
UR - http://www.scopus.com/inward/record.url?scp=33644517538&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.96.087801
DO - 10.1103/PhysRevLett.96.087801
M3 - Article
SN - 0031-9007
VL - 96
JO - Physical Review Letters
JF - Physical Review Letters
IS - 8
M1 - 087801
ER -