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Kink topology control by high-frequency external forces in nonlinear Klein-Gordon models

Opened Access Kink topology control by high-frequency external forces in nonlinear Klein-Gordon models

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Autor: Álvarez Nodarse, Renato
Quintero, Niurka R.
Mertens, Franz G.
Departamento: Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. Departamento de Física Aplicada I
Fecha: 2014
Publicado en: Physical Review E, 2014, 90 (4), 042916: 1-9
Tipo de documento: Artículo
Resumen: A method of averaging is applied to study the dynamics of a kink in the damped double sine-Gordon equation driven by both external (nonparametric) and parametric periodic forces at high frequencies. This theoretical approach leads to the study of a double sine-Gordon equation with an effective potential and an effective additive force. Direct numerical simulations show how the appearance of two connected π kinks and of an individual π kink can be controlled via the frequency. An anomalous negative mobility phenomenon is also predicted by theory and confirmed by simulations of the original equation.
Tamaño: 1.063Mb
Formato: PDF

URI: http://hdl.handle.net/11441/23511

DOI: 10.1103/PhysRevE.90.042916

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