Variation along liquid isomorphs of the driving force for crystallization

Abstract

We investigate the variation of the driving force for crystallization of a supercooled liquid along isomorphs, curves along which structure and dynamics are invariant. The variation is weak, and can be predicted accurately for the Lennard-Jones fluid using a recently developed formalism and data at a reference temperature. More general analysis allows interpretation of experimental data for molecular liquids such as dimethyl phthalate and indomethacin, and suggests that the isomorph scaling exponent $γ$ in these cases is an increasing function of density, although this cannot be seen in measurements of viscosity or relaxation time.

Corresponds to published version, i.e., including changes made during proof