Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1897766 | Physica D: Nonlinear Phenomena | 2008 | 7 Pages |
Abstract
Weakly nonlinear spatially periodic patterns coupled to a Goldstone (zero) mode of the phase-field crystal model are investigated. Rotationally invariant equations for the dynamics of the amplitudes of a hexagonal pattern are derived first, which then allows us to determine stability regions for stripes and hexagons. There are parameter regimes in which all periodic patterns become unstable as a result of long-wavelength instabilities generated by the zero mode.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
H. Ohnogi, Y. Shiwa,