Dm. Heyes et Pj. Aston, ELASTIC-MODULI OF SIMPLE FLUIDS WITH STEEPLY REPULSIVE POTENTIALS, The Journal of chemical physics, 100(3), 1994, pp. 2149-2153
We examine the infinite frequency elastic moduli of steeply repulsive
inverse power, r(-n), potential fluids. Using molecular dynamics simul
ation we show that these are proportional to n and therefore diverge i
n the hard-sphere n-->infinity limit, which we also prove independentl
y for the case of spheres.