Enhanced cohesion of matter on a cylindrical surface

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We evaluate the cohesive energies Eb of four systems in which particles move on a cylindrical surface, at fixed distance R from the axis. We find quite nonuniversal dependences of Eb on R. For the Coulomb binding problem, Eb is a monotonically decreasing function of R. For three problems involving Lennard-Jones interactions, the behavior is nonmonotonic; Eb is larger at R = ∞ than at R=0; the maximum binding corresponds to R 0.7 σ (the hard core parameter). Consequences of the enhanced binding are discussed.