On the bifurcation analysis of the liquid–solid instability in hard-sphere systems

Recent bifurcation analyses of the BBGKY hierarchy for hard-sphere systems are shown to be equivalent to Kirkwood’s linear response analysis. They suffer, therefore, from the same inconsistency which has been pointed out by Kunkin and Frisch. The decoupling scheme used also leads to an inconsistency in the stability analysis of the dynamic BBGKY hierarchy.