NUMERICAL SIMULATION OF INTERACTION OF TOPOLOGICAL VORTEX WITH DOMAIN WALL IN (2+1)-DIMENSIONAL NON-LINEAR SIGMA-MODEL
Abstract and keywords
Abstract (English):
By numerical simulation the dynamics of interaction of localized (topological) vortices with 180-degree Neel type domain walls in (2+1)-dimensional O(3) vectorial nonlinear sigma model is investigated. The decay of the topological vortices onto the localized perturbations with half topological charge, moving along the plane of the domain wall is revealed.

Keywords:
two-dimensional topological soliton – Neel-type domain wall – О(3) vectorial nonlinear sigma-model – dynamics of interaction.
Text

УДК: 537.611, 530.146

ЧИСЛЕННОЕ МОДЕЛИРОВАНИЕ ВЗАИМОДЕЙСТВИЯ

ТОПОЛОГИЧЕСКИХ ВИХРЕЙ С ДОМЕННОЙ СТЕНКОЙ

В (2+1)-МЕРНОЙНЕЛИНЕЙНОЙСИГМА-МОДЕЛИ

NUMERICAL SIMULATION OF INTERACTION OF TOPOLOGICAL VORTEX WITH DOMAIN WALL IN (2+1)-DIMENSIONAL NON-LINEAR SIGMA-MODEL

Шокиров Ф.Ш., к.ф.-м.н., доцент

Физико-технический институт им. С.У.Умарова Академии наук Республики Таджикистан, г. Душанбе, Таджикистан

shokirov@rambler.ru

DOI: 10.12737/14479

 

Аннотация: Методами численного моделирования проведено исследование динамики взаимодействия топологических вихрей с 180-градусной доменной стенкой неёловского типа в (2+1)-мерной О(3) векторной нелинейной сигма-модели. Выявлено свойство распада топологических вихрей при столкновении с доменной стенкой на локализованные возмущения с половинными топологическими зарядами, движущиеся вдоль плоскости доменной стенки.

Summary:By numerical simulation the dynamics of interaction of localized (topological) vortices with 180-degree Neel type domain walls in (2+1)-dimensional O(3) vectorial nonlinear sigma model is investigated. The decay of the topological vortices onto the localized perturbations with half topological charge, moving along the plane of the domain wall is revealed.

Ключевые слова: двумерный топологический солитон – неёловская доменная стенка – О(3) векторная нелинейная сигма-модель – динамика взаимодействия.

 

Keywords: two-dimensional topological soliton – Neel-type domain wall – О(3) vectorial nonlinear sigma-model – dynamics of interaction.

References

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