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Two-dimensional melting transitions for model colloids in presence of aone-dimensional external periodic potential are investigated using Monte Carlosimulation and Finite Size Scaling techniques. Here we explore a hard disksystem with commensurability ratio $p=\sqrt{3}a_s/(2d)=2$, where $a_s$ is themean distance between the disks and $d$ the period of the external potential.Three phases, the modulate liquid, the locked smectic and the locked floatingsolid are observed, in agreement with other experimental and analyticalstudies. Various statistical quantities like order parameters, their cumulantsand response functions, are used to obtain a phase diagram for the transitionsbetween these three phases.

Phase transitions in two-dimensional model colloids in a one-dimensional external potential