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?