A molecular dynamics simulation has been performed to investigate the Hugon
iot equation-of-state (EOS) and the corresponding radial distribution funct
ion (RDF) of liquid helium at high temperatures and densities. The calculat
ed Hugoniot EOS is well in agreement with the experiments given by Nellis e
t al., and the corresponding RDFs show distinct peak or peaks due to the mo
st probable nearest-neighbor packing, though the matter being studied is li
quid. A single nearest-neighbor peak appears in the lower pressure regime,
but two peaks, including a newly second-nearest-neighbor peak besides the f
ormer one, emerges when the shock state goes up around T = 1.2 x 10(4) K an
d the density rho = 0.409 g/cm(3), demonstrating a higher-order transition
of a disorder-order one for the second-nearest-neighbor structure. (C) 1999
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