title: Nonlinear elasticity of the phase-field crystal model from the renormalization group.
abstract: The rotationally covariant renormalization group equations of motion for the density wave amplitudes in the phase field crystal model are shown to follow from a dynamical equation driven by an effective free energy density that we derive. We show that this free energy can be written purely as a function of the strain tensor and thence derive the corresponding equations governing the nonlinear elastic response.
authors.affiliation: Department of Physics, Loomis Laboratory of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801-3080, USA.
authors.forename: Pak Yuen
authors.initials: PY
authors.lastname: Chan
authors.forename: Nigel
authors.initials: N
authors.lastname: Goldenfeld