Long-wavelength properties of phase-field-crystal models with second-order dynamics
journal contributionposted on 19.01.2018, 14:48 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.
This work has been supported in part by the Academy of Finland through its COMP CoE Grants No. 251748 and 284621.
- Mathematical Sciences