Nonlinear elasticity of the phase-field crystal model from the renormalization group.
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.
Chan
Pak Yuen
PY
Department of Physics, Loomis Laboratory of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801-3080, USA.
Goldenfeld
Nigel
N