Nonlinear phase diffusion equations for the long-wave instabilities of hexagons
Nonlinear phase diffusion equations for the long-wave instabilities of hexagons
The phase instabilities of hexagons are studied using the lowest order amplitude equations. The shapes of the unstable modes and the nonlinear phase diffusion equations which hold close to onset are found. The latter show that the instabilities are subcritical. It is found that the long-wave zigzag and two-dimensional Eckhaus instabilities cannot occur in hexagons.
pattern formation, hexagons, long-wave instabilities, phase diffusion, Ginzburg-Landau equations
81-85
Hoyle, R.B.
e980d6a8-b750-491b-be13-84d695f8b8a1
1995
Hoyle, R.B.
e980d6a8-b750-491b-be13-84d695f8b8a1
Hoyle, R.B.
(1995)
Nonlinear phase diffusion equations for the long-wave instabilities of hexagons.
Applied Mathematics Letters, 8 (3), .
(doi:10.1016/0893-9659(95)00034-N).
Abstract
The phase instabilities of hexagons are studied using the lowest order amplitude equations. The shapes of the unstable modes and the nonlinear phase diffusion equations which hold close to onset are found. The latter show that the instabilities are subcritical. It is found that the long-wave zigzag and two-dimensional Eckhaus instabilities cannot occur in hexagons.
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Published date: 1995
Keywords:
pattern formation, hexagons, long-wave instabilities, phase diffusion, Ginzburg-Landau equations
Organisations:
Mathematical Sciences
Identifiers
Local EPrints ID: 380294
URI: http://eprints.soton.ac.uk/id/eprint/380294
ISSN: 0893-9659
PURE UUID: 51a22cf7-6f5c-443f-bde7-c12a4722510a
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Date deposited: 11 Aug 2015 16:40
Last modified: 15 Mar 2024 03:36
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