Enhanced cohesion of matter on a cylindrical surface

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∼0.7σ, where σ is the hard core parameter. Consequences of the enhanced binding are discussed