Nonlinear hydrodynamic theory of crystallization

Gyula I. Tóth, László Gránásy, György Tegze

Research output: Contribution to journalArticle

14 Citations (Scopus)


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. In contrast 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 good qualitative agreement with the molecular dynamics simulations.

Original languageEnglish
Article number055001
Pages (from-to)1V
JournalJournal of Physics Condensed Matter
Issue number5
Publication statusPublished - Feb 5 2014

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

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