Induced freezing and re-entrant melting in the hard-disc fluid; applications of the fundamental measure functional

A fundamental measure functional is used to study the induced freezing and re-entrant melting for the hard-disc fluid in an external periodic potential. The phase diagram obtained shows good agreement with recent experimental studies. We also use the functional to describe the hard-disc fluid density near a hard wall and investigate whether this 2D functional can correctly describe the 0D limit.