Article
Kink topology control by high-frequency external forces in nonlinear Klein-Gordon models
Author/s | Álvarez Nodarse, Renato
Quintero, Niurka R. Mertens, Franz G. |
Department | Universidad de Sevilla. Departamento de Análisis Matemático Universidad de Sevilla. Departamento de Física Aplicada I |
Publication Date | 2014 |
Deposit Date | 2015-03-19 |
Published in |
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Abstract | 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 ... 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. |
Project ID. | info:eu-repo/grantAgreement/MINECO/MTM2012-36732-C03-03
info:eu-repo/grantAgreement/MINECO/FIS2011-24540 |
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PRE_Quintero_2014_Kink.pdf | 1.063Mb | [PDF] | View/ | |