Эволюция границ доменов в нанопроводах в терминах гранично-начальной задачи для 3D LLG уравнения
https://doi.org/10.17586/2220-8054-2021-12-1-42-59
Аннотация
Теория образования и распространения доменных стенок построена на линеаризованной версии преобразованного уравнения Ландау–Лифшица–Гилберта. Стереографическое преобразование Лакшманана–Накамуры после дополнительного экспоненциального преобразования, а затем линеаризации частично сохраняет информацию об исходной нелинейности, что позволяет сохранить динамику, форму и свойства доменной стенки. Для цилиндрически-симметричной геометрии провода построен традиционный ортонормированный базис Бесселя в сочетании с техникой проекционных операторов, применяемой к подпространствам направленного распространения доменных стенок. Сформулированы физически значимые задачи переключения динамики в дальних и близких точках от концов провода и представлены их решения в рамках метода Фурье. Находятся стационарные решения и вычерчиваются структура стены вдоль провода и участки распространения.
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Рецензия
Для цитирования:
Leble S. Эволюция границ доменов в нанопроводах в терминах гранично-начальной задачи для 3D LLG уравнения. Наносистемы: физика, химия, математика. 2021;12(1):42-59. https://doi.org/10.17586/2220-8054-2021-12-1-42-59
For citation:
Leble S. Domain wall evolution at nanowires in terms of 3D LLG equation initial-boundary problem. Nanosystems: Physics, Chemistry, Mathematics. 2021;12(1):42-59. https://doi.org/10.17586/2220-8054-2021-12-1-42-59
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