Nonlinear hydrodynamic theory of crystallization
Abstract
We present an isothermal fluctuating nonlinear hydrodynamic theory of crystallization in molecular liquids. A dynamic coarse-graining technique is used to derive the velocity field, a phenomenology, which allows a direct coupling between the free energy functional of the classical Density Functional Theory and the Navier-Stokes equation. Contrary to the Ginzburg-Landau type amplitude theories, the dynamic response to elastic deformations is described by parameter-free kinetic equations. Employing our approach to the free energy functional of the Phase-Field Crystal model, we recover the classical spectrum for the phonons and the steady-state growth fronts. The capillary wave spectrum of the equilibrium crystal-liquid interface is in a good qualitative agreement with the molecular dynamics simulations.
Cite
@article{arxiv.1310.3704,
title = {Nonlinear hydrodynamic theory of crystallization},
author = {Gyula I. Tóth and László Gránásy and György Tegze},
journal= {arXiv preprint arXiv:1310.3704},
year = {2013}
}