Abstract
We study a continuum interfacial Hamiltonian model of fluid adsorption in a (1+1)-dimensional wedge geometry, which is known to exhibit a filling transition when the contact angle θπ = α, with α the wedge angle. We extend the transfer matrix analysis of the model to calculate the interfacial height probability distribution function P(l;x), for arbitrary positions x along the wedge. The asymptotics of this function reveal a fluctuation-induced disorder point (non-thermodynamic singularity) that occurs prior to filling when θπ = 2α, where there is a change of length scales determining the decay of P(l;x).
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