# Variation along liquid isomorphs of the driving force for crystallization

## TL;DR

This paper studies how the driving force for crystallization varies along liquid isomorphs, showing weak variation predictable by a formalism and interpreting experimental data for molecular liquids, with implications for understanding their scaling behavior.

## Contribution

It introduces a formalism to predict the variation of crystallization driving force along isomorphs and applies it to experimental data for molecular liquids.

## Key findings

- Variation of driving force is weak along isomorphs
- Formalism accurately predicts this variation for Lennard-Jones fluid
- Isomorph scaling exponent $$ increases with density in molecular liquids

## 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 $\gamma$ in these cases is an increasing function of density, although this cannot be seen in measurements of viscosity or relaxation time.