Consistent Hydrodynamics for Phase Field Crystals
Statistical Mechanics
2016-01-20 v2
Abstract
We use the amplitude expansion in the phase field crystal framework to formulate an approach where the fields describing the microscopic structure of the material are coupled to a hydrodynamic velocity field. The model is shown to reduce to the well known macroscopic theories in appropriate limits, including compressible Navier-Stokes and wave equations. Moreover, we show that the dynamics proposed allows for long wavelength phonon modes and demonstrate the theory numerically showing that the elastic excitations in the system are relaxed through phonon emission.
Cite
@article{arxiv.1509.08057,
title = {Consistent Hydrodynamics for Phase Field Crystals},
author = {V. Heinonen and C. V. Achim and J. M. Kosterlitz and See-Chen Ying and J. Lowengrub and T. Ala-Nissila},
journal= {arXiv preprint arXiv:1509.08057},
year = {2016}
}