Enhanced cohesion of matter on a cylindrical surface

摘要

We evaluate the cohesive energies E$_b$ of four systems in which particlesmove on a cylindrical surface, at fixed distance R from the axis. We find quitenonuniversal dependences of E$_b$ on R. For the Coulomb binding problem, E$_b$is a monotonically decreasing function of R. For three problems involvingLennard-Jones interactions, the behavior is nonmonotonic; E$_b$ is larger at R= $\infty$ than at R=0; the maximum binding corresponds to R $\sim 0.7 \sigma$(the hard core parameter). Consequences of the enhanced binding are discussed.