Consistent Hydrodynamics for Phase Field Crystals

V. Heinonen*, C. V. Achim, J. M. Kosterlitz, See-Chen Ying, J. Lowengrub, Tapio Ala-Nissilä

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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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.

Original languageEnglish
Article number024303
Number of pages5
JournalPhysical Review Letters
Volume116
Issue number2
DOIs
Publication statusPublished - 15 Jan 2016
MoE publication typeA1 Journal article-refereed

Keywords

  • GRAIN-BOUNDARY MIGRATION
  • ROTATION
  • DIMENSIONS
  • DYNAMICS

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