Strain and Defects in Oblique Stripe Growth
نویسندگان
چکیده
We study stripe formation in two-dimensional systems under directional quenching a phase-diffusion approximation including nonadiabatic boundary effects. find through simple traveling waves for all angles relative to the line using an analytic continuation procedure. also present comprehensive analytical asymptotic formulas limiting cases of small and large as well rates. Of particular interest is regime angle slow rate which described by glide motion dislocation along line. A delocalization bifurcation this leads sharp decrease strain created growth process at angles. complement our results with numerical reliant on boundary-integral formulation. compare numerically quenched anisotropic Swift-- Hohenberg equation.
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ژورنال
عنوان ژورنال: Multiscale Modeling & Simulation
سال: 2021
ISSN: ['1540-3459', '1540-3467']
DOI: https://doi.org/10.1137/21m1397210