Journal of Physical Chemistry B, Vol.109, No.14, 6849-6854, 2005
Local mean field models of uniform to nonuniform density fluid-crystal transitions
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 beta(0)(-1) is proven for a class of model systems.