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Title: Long-wavelength properties of phase-field-crystal models with second-order dynamics
Authors: Heinonen, V.
Achim, C.V.
Ala-Nissila, Tapio
Issue Date: 2016
Publisher: © American Physical Society
Citation: HEINONEN, V., ACHIM, C.V. and ALA-NISSILA, T., 2016. Long-wavelength properties of phase-field-crystal models with second-order dynamics. Physical Review E, 93:053003.
Abstract: © 2016 American Physical Society. The phase-field-crystal (PFC) approach extends the notion of phase-field models by describing the topology of the microscopic structure of a crystalline material. One of the consequences is that local variation of the interatomic distance creates an elastic excitation. The dynamics of these excitations poses a challenge: pure diffusive dynamics cannot describe relaxation of elastic stresses that happen through phonon emission. To this end, several different models with fast dynamics have been proposed. In this article we use the amplitude expansion of the PFC model to compare the recently proposed hydrodynamic PFC amplitude model with two simpler models with fast dynamics. We compare these different models analytically and numerically. The results suggest that in order to have proper relaxation of elastic excitations, the full hydrodynamical description of the PFC amplitudes is required.
Description: This paper was accepted for publication in the journal Physical Review E and the definitive published version is available at https://doi.org/10.1103/PhysRevE.93.053003
Sponsor: This work has been supported in part by the Academy of Finland through its COMP CoE Grants No. 251748 and 284621.
Version: Accepted for publication
DOI: 10.1103/PhysRevE.93.053003
URI: https://dspace.lboro.ac.uk/2134/28203
Publisher Link: https://doi.org/10.1103/PhysRevE.93.053003
ISSN: 2470-0045
Appears in Collections:Published Articles (Maths)

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