Domain wall thickness and deformations of the field model
We consider the change in the asymptotic behavior of solutions of the type of flat domain walls (i.e., kink solutions) in field-theoretic models with a real scalar field. We show that when the model is deformed by a bounded deforming function, the exponential asymptotics of the corresponding kink so...
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| creator | Blinov, Petr A Gani, Tatiana V Gani, Vakhid A |
| description | We consider the change in the asymptotic behavior of solutions of the type of flat domain walls (i.e., kink solutions) in field-theoretic models with a real scalar field. We show that when the model is deformed by a bounded deforming function, the exponential asymptotics of the corresponding kink solutions remain exponential, while the power-law ones remain power-law. However, the parameters of these asymptotics, which are related to the wall thickness, can change. |
| doi_str_mv | 10.48550/arxiv.2012.12709 |
| format | Article |
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| subjects | Asymptotic properties Deformation Domain walls Mathematics - Mathematical Physics Physics - High Energy Physics - Theory Physics - Mathematical Physics Physics - Pattern Formation and Solitons Power law Scalars Wall thickness |
| title | Domain wall thickness and deformations of the field model |
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