I'm doing molecular dynamics of $N$ bodies interacting through Lennard-Jones potential. I'm studying the hysteresis phenomena in the phase transition solid-liquid and liquid-solid. Which parameters can I use for determine the temperature at which the phase transition occurs? I'm using some parameters, as potential energy, kinetic energy and pressure, to determine the transition from solid to liquid. They show a strong change a value at melting point. However in the opposite transition this parameters are not a good choice, their change it is smaller that their fluctuations.
Someone knows some different parameters and how to implement them?