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We report molecular simulation and experimental results for simple fluidsadsorbed in activated carbon fibers (ACF), where the adsorbed phase consists ofeither one or two molecular layers. Our molecular simulations involve smoothpore-walls for large system sizes and a systematic system size-scalinganalysis. We provide calculations of the Ginzburg parameter to monitor theself-consistency of our finite size simulation results, based on which weestablish that for system sizes smaller than 60 molecular diameters,fluctuations are too large to uphold the finite size simulation results. Wepresent scaling analysis and free energy results for a system size of 180molecular diameters. Our scaling analysis reveals a two-stage melting in ourbilayer system consistent with KTHNY scaling for the order parametercorrelation functions. Based on the Lee-Kosterlitz scaling of the free energysurface, we establish that the transitions are first order in the thermodynamiclimit. Similar results for a monolayer established that the transitions werecontinuous. We provide scaling arguments to suggest that the change in theorder of the transitions in going from a monolayer to bilayer adsorbed systemresults from the interactions of defects in the multilayers. We also reportexperimental measurements of CCl4 and aniline (with two confined molecularlayers) adsorbed in ACF.

Quasi-two-dimensional melting in porous media: effect of multi-layers and cross-over in scaling behavior