We present comprehensive results of large-scale molecular dynamics and
Monte Carlo simulations of systems of dense hard spheres at volume fr
action phi along the disordered, metastable branch of the phase diagra
m from the freezing-point phi(f) to random close packing volume phi(c)
. It is shown that many previous simulations contained deficiencies ca
used by crystallization and finite-size effects. We quantify the degre
e of local crystallization through an order parameter and study it as
a function of time and initial conditions to determine the necessary c
onditions to obtain truly random systems. This ordering criterion is u
sed to show that previous methods employed to ascertain the degree of
randomness are inadequate. A careful study of the pressure is also car
ried out along the entire metastable branch. In the vicinity of the ra
ndom-close packing fraction, we show that the pressure scales as (phi(
c)-phi)(-gamma), where gamma = 1 and phi(c) = 0.644 +/- 0.005. Contrar
y to previous studies, we find no evidence of a thermodynamic glass tr
ansition. (C) 1996 American Institute of Physics.