It is shown for a model system consisting of spherical particles confined in cylindrical pores that the first ten close-packed phases are in one-to-one correspondence with the first ten ways of folding a triangular lattice,each being characterized by a roll-up vector like the single-walled carbon nanotube.Phase diagrams in pressure-diameter and temperature-diameter planes are obtained by inherent-structure calculation and molecular dynamics simulation.The phase boundaries dividing two adjacent phases are infinitely sharp in the low-temperature limit but are blurred as temperature is increased.Existence of such phase boundaries explains rich,diameter-sensitive phase behavior unique for cylindrically confined systems.
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