Defect formation in the Swift-Hohenberg equation

Tobias Galla; Esteban Moro

doi:10.1103/PhysRevE.67.035101

Defect formation in the Swift-Hohenberg equation

Tobias Galla, Esteban Moro

Research output: Contribution to journal › Article › peer-review

Abstract

The validity of the Kibble-Zurek picture for the creation of defects in the annealing of the Swift-Hohenberg (SH) equation was confirmed. Specifically, a length scale ξ∼Γdef-1 directly related to the density of defects, was identified. As a result, it was found that it scales with the sweep rate as ξ∼μ-1/4.

Original language	English
Article number	035101
Pages (from-to)	035101/4
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	67
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.67.035101
Publication status	Published - Mar 2003

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title = "Defect formation in the Swift-Hohenberg equation",

abstract = "The validity of the Kibble-Zurek picture for the creation of defects in the annealing of the Swift-Hohenberg (SH) equation was confirmed. Specifically, a length scale ξ∼Γdef-1 directly related to the density of defects, was identified. As a result, it was found that it scales with the sweep rate as ξ∼μ-1/4.",

author = "Tobias Galla and Esteban Moro",

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AB - The validity of the Kibble-Zurek picture for the creation of defects in the annealing of the Swift-Hohenberg (SH) equation was confirmed. Specifically, a length scale ξ∼Γdef-1 directly related to the density of defects, was identified. As a result, it was found that it scales with the sweep rate as ξ∼μ-1/4.

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Defect formation in the Swift-Hohenberg equation

Abstract

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