title: Consistent Hydrodynamics for Phase Field Crystals.
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.
authors.affiliation: COMP Centre of Excellence, Department of Applied Physics, Aalto University, School of Science, P.O. Box 11100, FI-00076 Aalto, Finland.
authors.forename: V
authors.initials: V
authors.lastname: Heinonen
authors.affiliation: COMP Centre of Excellence, Department of Applied Physics, Aalto University, School of Science, P.O. Box 11100, FI-00076 Aalto, Finland.
authors.forename: C V
authors.initials: CV
authors.lastname: Achim
authors.affiliation: Department of Physics, Brown University, Providence, Rhode Island 02912-1843, USA.
authors.forename: J M
authors.initials: JM
authors.lastname: Kosterlitz
authors.affiliation: Department of Physics, Brown University, Providence, Rhode Island 02912-1843, USA.
authors.forename: See-Chen
authors.initials: SC
authors.lastname: Ying
authors.affiliation: Department of Mathematics, University of California, Irvine, California 92697, USA.|Department of Chemical Engineering and Materials Science, University of California, Irvine, California 92697, USA.
authors.forename: J
authors.initials: J
authors.lastname: Lowengrub
authors.affiliation: COMP Centre of Excellence, Department of Applied Physics, Aalto University, School of Science, P.O. Box 11100, FI-00076 Aalto, Finland.|Department of Physics, Brown University, Providence, Rhode Island 02912-1843, USA.
authors.forename: T
authors.initials: T
authors.lastname: Ala-Nissila