Wobbling kinks and shape mode interactions in a coupled two-component <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg" display="inline" id="d1e1237"><mml:msup><mml:mrow><mml:mi>ϕ</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:math> theory

Alonso-Izquierdo, A.; Miguélez-Caballero, D.; Nieto, L.M.

doi:10.1016/j.chaos.2023.114373

Chaos, Solitons & Fractals

2024

DOI: 10.1016/j.chaos.2023.114373

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Wobbling kinks and shape mode interactions in a coupled two-component ϕ4 theory

A. Alonso-Izquierdo,

D. Miguélez-Caballero,

L.M. Nieto

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Cited by 2 publications

References 30 publications

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Scattering between orthogonally wobbling kinks

Alonso-Izquierdo,

Miguélez-Caballero,

Nieto

2025

Physica D: Nonlinear Phenomena

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Scattering between orthogonally wobbling kinks

Alonso-Izquierdo,

Miguélez-Caballero,

Nieto

2025

Physica D: Nonlinear Phenomena

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Excited Abelian-Higgs vortices: Decay rate and radiation emission

Alonso-Izquierdo,

Blanco-Pillado,

Miguélez-Caballero

et al. 2024

Phys. Rev. D

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The evolution of 1 vortices when their massive bound mode is excited is investigated in detail (both analytically and numerically) in the Abelian-Higgs model for different ranges of the self-coupling constant. The dependence of the spectrum of the 1 vortex fluctuation operator on the model parameter is discussed initially. A perturbative approach is employed to study the radiation emission in both the scalar and the vector channels. Our findings reveal that the oscillating initial configuration of the 1 vortex radiates at a frequency twice that of the internal mode. Through energy conservation considerations, we derive the decay law of the massive mode. Finally, these analytical results are compared with numerical simulations in field theory. Published by the American Physical Society 2024

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Wobbling kinks and shape mode interactions in a coupled two-component ϕ4 theory

Cited by 2 publications

References 30 publications

Scattering between orthogonally wobbling kinks

Scattering between orthogonally wobbling kinks

Excited Abelian-Higgs vortices: Decay rate and radiation emission

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