# How to characterize phase transition from liquid to solid such as water?

From statistical mechanics, one could calculate phase transition of gas and liquid from Van der Waals's equation. The characterization was from $$p(v)\sim v$$ diagram, i.e. the compressability.

However, how to characterize the transition from liquid to solid? i.e. from usual experience the compressability of liquid and solid differ, but didn't seem to be of a very dramatic way like that from gas to liquid.

How to characterize phase transition from liquid to solid?

Especially, could you point a way of how to calculate the $$0 ^\circ C$$ for which water will turn to ice?

• Evaporation and condensation are dramatic? May 9 '20 at 0:53
• @probably_someone It could be(with constant shocking/disturbance to avoid the super cool liquid etc.). Basically keep the phenomenon explainable by statistical distribution. May 9 '20 at 1:08
• Probably a T-S diagram will be more dramatic? May 9 '20 at 2:23

So the order parameter for liquid-solid transition would involve defining an atomic correction function: $$G(x,x’;t-t’)$$