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

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Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2016-05-09
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Language
en
Pages
1-9
Series
PHYSICAL REVIEW E, Volume 93, issue 5
Abstract
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.
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Heinonen , V , Achim , C V & Ala-Nissilä , T 2016 , ' Long-wavelength properties of phase-field-crystal models with second-order dynamics ' , Physical Review E , vol. 93 , no. 5 , 053002 , pp. 1-9 . https://doi.org/10.1103/PhysRevE.93.053003