Abstract
We present an application of dynamic mean field theory (DMFT) for lattice gas models of confined fluids to the case of a fluid in a three-dimensional narrow slit between two plates. We consider a process where the slit is in contact with a subcritical bulk vapour and the bulk chemical potential is changed from a dilute gas value to a value close to that of the bulk saturated vapour so that capillary condensation occurs in the pore. DMFT predicts that the nucleation process during the condensation occurs by the formation of multiple liquid bridges spanning the pore walls, starting in the corners of the slit. These bridges eventually coalesce and the condensation transition terminates through the shrinkage and disappearance of a vapour bubble. We find that the density distribution is sensitive to the dimensions of the slit, with the number of bridges increasing with the slit area.
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