title: Local mean field models of uniform to nonuniform density fluid-crystal transitions.
abstract: We investigate the existence of nontranslation invariant (periodic) density profiles, for systems interacting via translation invariant long-range potentials, as minimizers of local mean field free energy functionals. The existence of a second-order transition from a uniform to a nonuniform density at a specified temperature is proven for a class of model systems.
authors.affiliation: Dipartimento di Matematica, Università di Roma "La Sapienza", P.le Aldo Moro 2, 00185 Roma, Italy.
authors.forename: Paolo
authors.initials: P
authors.lastname: Buttà
authors.forename: Joel L
authors.initials: JL
authors.lastname: Lebowitz