Enhanced cohesion of matter on a cylindrical surface
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We evaluate the cohesive energies E$_b$ of four systems in which particles move on a cylindrical surface, at fixed distance R from the axis. We find quite nonuniversal dependences of E$_b$ on R. For the Coulomb binding problem, E$_b$ is a monotonically decreasing function of R. For three problems involving Lennard-Jones interactions, the behavior is nonmonotonic; E$_b$ is larger at R = $\infty$ than at R=0; the maximum binding corresponds to R $\sim 0.7 σ$ (the hard core parameter). Consequences of the enhanced binding are discussed.
9 pages,5 figures, submitted to PRL
9 pages,5 figures, submitted to PRL