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Long-wavelength properties of phase-field-crystal models with second-order dynamics

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posted on 19.01.2018 by V. Heinonen, C.V. Achim, Tapio Ala-Nissila
© 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.

Funding

This work has been supported in part by the Academy of Finland through its COMP CoE Grants No. 251748 and 284621.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physical Review E

Volume

93

Issue

5

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.

Publisher

© American Physical Society

Version

AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2016-05-09

Notes

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

ISSN

2470-0045

eISSN

2470-0053

Language

en

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