Abstract
In a recent paper we derived an expression for the replicated free energy of a liquid of hardspheres based on the hypernetted chain (HNC) free energy functional. An approximate equationof state for the glass and an estimate of the random close packing density were obtained ford = 3. Here we show that the HNC approximation is not needed: the same expression canbe obtained from the full diagrammatic expansion of the replicated free energy.Then, we consider the asymptotics of this expression when the space dimensiond is very large. In this limit, the entropy of the hard sphere liquid has been computed exactly.Using this solution, we derive asymptotic expressions for the glass transition density andfor the random close packing density for hard spheres for large space dimension.
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call