A disorder point for filling transitions in 1+1 dimensions

We study a continuum interfacial Hamiltonian model of fluid adsorption in a (1 + 1)-dimensional wedge geometry, which is known to exhibit a filling tr ansition when the contact angle theta (pi) = alpha, with alpha the wedge an gle. We extend the transfer matrix analysis of the model to calculate the i nterfacial height probability distribution function P(l; x), for arbitrary positions x along the wedge. The asymptotics of this function reveal a fluc tuation-induced disorder point (non-thermodynamic singularity) that occurs prior to filling when theta (pi) = 2 alpha, where there is a change of leng th scales determining the decay of P(l; x).