Consistent Hydrodynamics for Phase Field Crystals

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,...

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Bibliographic Details
Published in:Physical review letters 2016-01, Vol.116 (2), p.024303-024303, Article 024303
Main Authors: Heinonen, V, Achim, C V, Kosterlitz, J M, Ying, See-Chen, Lowengrub, J, Ala-Nissila, T
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Dynamical systems
Dynamics
Fluid flow
Hydrodynamics
Mathematical models
Navier-Stokes equations
Phonons
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.116.024303