Grain boundary pinning and glassy dynamics in stripe phases

Denis Boyer, Jorge Viñals

Research output: Contribution to journalArticle

53 Citations (Scopus)

Abstract

We study numerically and analytically the coarsening of stripe phases in two spatial dimensions, and show that transient configurations do not achieve long ranged orientational order but rather evolve into glassy configurations with very slow dynamics. In the absence of thermal fluctuations, defects such as grain boundaries become pinned in an effective periodic potential that is induced by the underlying periodicity of the stripe pattern itself. Pinning arises without quenched disorder from the nonadiabatic coupling between the slowly varying envelope of the order parameter around a defect, and its fast variation over the stripe wavelength. The characteristic size of ordered domains asymptotes to a finite value R g∼λ 0-1/2exp(|a|/√∈), where ∈ ≪1 is the dimensionless distance away from threshold, λ 0 the stripe wavelength, and a a constant of order unity. Random fluctuations allow defect motion to resume until a new characteristic scale is reached, function of the intensity of the fluctuations. We finally discuss the relationship between defect pinning and the coarsening laws obtained in the intermediate time regime.

Original languageEnglish (US)
Article number046119
Pages (from-to)046119/1-046119/12
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume65
Issue number4
DOIs
StatePublished - Apr 1 2002

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Grain Boundary
grain boundaries
Defects
defects
Coarsening
Fluctuations
Wavelength
Quenched Disorder
Asymptote
Configuration
asymptotes
Periodic Potential
configurations
Dimensionless
wavelengths
Order Parameter
Periodicity
Envelope
periodic variations
unity

Cite this

Grain boundary pinning and glassy dynamics in stripe phases. / Boyer, Denis; Viñals, Jorge.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 65, No. 4, 046119, 01.04.2002, p. 046119/1-046119/12.

Research output: Contribution to journalArticle

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