Beyond Salsburg–Wood: Glass equation of state for polydisperse hard spheres

We reconstruct glass equations of state for polydisperse hard spheres with the help computer simulations. To perform reconstructions, we assume that hard-sphere have form Zg(?, ?J) = Zg(?J/?), where Zg, ?, and ?J are reduced pressure (PV/NkBT), sphere volume fraction (packing density), jamming density current basin attraction, respectively. Specifically, use X ?iciYi, (?J/?) ? 1 Y 1/(Zg 1). Our reconstructions converge to well-known Salsburg–Wood free in limit ? ? ?J, but they also applicable values ? ?J. support ansatz Zg(?J/?) extensive log-normal distributions particle radii (r) polydispersities ?=??r2?/?r?=0.1?0.3 steps 0.05. By supplying fluid equation (EOS) into new EOS, evaluate equilibrium densities ?EJ a range ?. using ideal transition ?g as an input estimate corresponding close packing limits ?GCP ?EJ(?g). Boublík–Mansoori–Carnahan–Starling–Leland from Vogel–Fulcher–Tammann fits—but our method can work any choice EOS estimates. show leads much better predictions ?EJ(?) than standard EOS.