We discuss the thermodynamic behaviour near the force induced unzipping
transition of a double stranded DNA in two different ensembles. The Y-fork is
identified as the coexisting phases in the fixed distance ensemble. From finite
size scaling of thermodynamic quantities like the extensibility, the length of
the unzipped segment of a Y-fork, the phase diagram can be recovered. We
suggest that such procedures could be used to obtain the thermodynamic phase
diagram from experiments on finite length DNA.Comment: 10 pages, accepted for publication in special issue of Journal of
Physics: Condensed Matte