title: Derivation of a three-dimensional phase-field-crystal model for liquid crystals from density functional theory.
abstract: Using a generalized order-parameter gradient expansion within density functional theory, we derive a phase-field-crystal model for liquid crystals composed of apolar particles in three spatial dimensions. Both the translational density and the orientational direction and ordering are included as order parameters. Different terms involving gradients in the order parameters in the resulting free-energy functional are compared to the macroscopic Ginzburg-Landau approach as well as to the hydrodynamic description for liquid crystals. Our approach provides microscopic expressions for all prefactors in terms of the particle interactions. Our phase-field-crystal model generalizes the conventional phase-field-crystal model of spherical particles to orientational degrees of freedom and can be used as a starting point to explore phase transitions and interfaces for various liquid-crystalline phases.
authors.affiliation: Institut für Theoretische Physik II, Weiche Materie, Heinrich-Heine-Universität Düsseldorf, D-40225 Düsseldorf, Germany.
authors.forename: Raphael
authors.initials: R
authors.lastname: Wittkowski
authors.forename: Hartmut
authors.initials: H
authors.lastname: Löwen
authors.forename: Helmut R
authors.initials: HR
authors.lastname: Brand