Collective influence of impurities on the dynamics of kinks of modified sine-Gordon equation

We investigated numerically the dynamics of kinks of modified sine-Gordon equation in the model with localized spatial modulation of a periodic potential (or impurity). We considered the case of two identical impurities. We showed the possibility of collective effects of the influence of impurities,...

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Bibliographic Details
Main Authors: Evgeniy Grigorevich Ekomasov, Azamat Maratovich Gumerov
Format: Article
Language:Russian
Published: Institute of Computer Science 2013-06-01
Series:Компьютерные исследования и моделирование
Subjects:
Online Access:http://crm.ics.org.ru/uploads/crmissues/crm_2013_3/13305.pdf
Description
Summary:We investigated numerically the dynamics of kinks of modified sine-Gordon equation in the model with localized spatial modulation of a periodic potential (or impurity). We considered the case of two identical impurities. We showed the possibility of collective effects of the influence of impurities, which are heavily dependent on the distance between them. We demonstrated the existence of a certain critical value of the distance between impurities, which has two qualitatively different scenarios of the dynamic behavior of kink.
ISSN:2076-7633
2077-6853