Nonlinear Elasticity of the Phase Field Crystal Model from the Renormalization Group
Materials Science
2009-12-23 v2 Statistical Mechanics
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.
Keywords
Cite
@article{arxiv.0910.2776,
title = {Nonlinear Elasticity of the Phase Field Crystal Model from the Renormalization Group},
author = {Pak Yuen Chan and Nigel Goldenfeld},
journal= {arXiv preprint arXiv:0910.2776},
year = {2009}
}