Local mean field models of uniform to nonuniform density fluid-crystal transitions

Paolo Buttà; Joel L Lebowitz

doi:10.1021/jp0406565

Local mean field models of uniform to nonuniform density fluid-crystal transitions

J Phys Chem B. 2005 Apr 14;109(14):6849-54. doi: 10.1021/jp0406565.

Authors

Paolo Buttà¹, Joel L Lebowitz

Affiliation

¹ Dipartimento di Matematica, Università di Roma "La Sapienza", P.le Aldo Moro 2, 00185 Roma, Italy.

PMID: 16851771
DOI: 10.1021/jp0406565

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.