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The phase behaviour and structural properties of a monolayer of hardparticles is examined in such a confinement, where the adsorbed particles areconstrained to the surface of a narrow hard cylindrical pore. The diameter ofthe pore is chosen such that only first and second neighbour interactions occurbetween the hard particles. The transfer operator method of Percus and Zhang[Mol. Phys., 69, 347 (1990)] is reformulated to obtain information about thestructure of the monolayer. We have found that a true phase transition is notpossible in the examined range of pore diameters. The monolayer of hard spheresundergoes a structural change from fluid-like order to a zigzag-like solid onewith increasing surface density. The case of hard cylinders is different in thesense that a layering takes place continuously between a low density one-rowand a high density two-row monolayer. Our results reveal a clear discrepancywith classical density functional theories, which do not distinguishsmectic-like ordering in bulk from that in narrow periodic pores.

Positional ordering of hard adsorbate particles in tubular nanopores