Snaking without subcriticality: grain boundaries as non-topological defects

• Published in: IMA journal of applied mathematics Vol. 86; no. 5; pp. 1164 - 1180
• Main Authors: Subramanian, Priya, Archer, Andrew J, Knobloch, Edgar, Rucklidge, Alastair M
• Format: Journal Article
• Language: English
• Published: Oxford University Press 01.10.2021
• Subjects: non-topological defect; penta-hepta defect; grain boundaries; spatial localization; Swift–Hohenberg equation

Abstract Non-topological defects in spatial patterns such as grain boundaries in crystalline materials arise from local variations of the pattern properties such as amplitude, wavelength and orientation. Such non-topological defects may be treated as spatially localized structures, i.e. as fronts co...