Collective coordinate system in (2+1) dimensions: <i>CP</i><sup>1</sup> lumps-potential interaction

Askari, Alidad; Saadatmand, Danial; Javidan, Kurosh

doi:10.1080/17455030.2018.1439203

Cited by 7 publications

(5 citation statements)

References 26 publications

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“…Besides kink-antikink collisions, interactions between kinks and impurities are a central ingredient in the modelling of any realistic system. In chemical and condensed matter settings, actual impurities in the atomic lattice are an unavoidable fact of life, while in particle physics and cosmology variations in the potential or background metric act as impurities [21][22][23][24][25][26][27]. Idealized impurities, with a Dirac delta spatial profile, have been shown to be capable of scattering or capturing kinks, as well as harbouring a localized impurity mode of their own [21].…”

Section: Introductionmentioning

confidence: 99%

Kinks and realistic impurity models in φ4-theory

Lizunova

Kager

Lange

et al. 2022

Int. J. Mod. Phys. B

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The [Formula: see text]-theory is ubiquitous as a low-energy effective description of processes in all fields of physics, ranging from cosmology and particle physics to biophysics and condensed matter theory. The topological defects, or kinks, in this theory describe stable, particle-like excitations. In practice, these excitations will necessarily encounter impurities or imperfections in the background potential as they propagate. Here, we describe the interaction between kinks and various types of realistic impurity models. We find that realistic impurities behave qualitatively like the well-studied, idealized delta function impurities, but that significant quantitative differences appear in both the characteristics of localized impurity modes, and in the collision dynamics. We also identify a particular regime of kink-impurity interactions, in which kinks lose all of their kinetic energy upon colliding with an impurity.

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Section: Introductionmentioning

confidence: 99%

Kinks and realistic impurity models in φ4-theory

Lizunova

Kager

Lange

et al. 2022

Int. J. Mod. Phys. B

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Section: Introductionmentioning

confidence: 99%

Kinks and realistic impurity models in $φ^4$-theory

Lizunova¹,

Kager²,

Lange³

et al. 2020

Preprint

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The ϕ 4 -theory is ubiquitous as a low-energy effective description of processes in all fields of physics ranging from cosmology and particle physics to biophysics and condensed matter theory. The topological defects, or kinks, in this theory describe stable, particle-like excitations. In practice, these excitations will necessarily encounter impurities or imperfections in the background potential as they propagate. Here, we describe the interaction between kinks and various types of realistic impurity models. We find that realistic impurities behave qualitatively like the well-studied, idealized delta function impurities, but that significant quantitative differences appear in both the characteristics of localized impurity modes, and in the collision dynamics. We also identify a particular regime of kink-impurity interactions, in which kinks loose all of their kinetic energy upon colliding with an impurity.

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“…The interaction of solitons and kinks with a localized defect has been extensively studied in the different contexts [25][26][27][28][29][30][31][32][33]. The existence of the spectral walls and their properties are common phenomena in the dynamics of kinks in (1+1) dimensions with Bogomolnyi-Prasad-Sommerfield (BPS) preserving impurity [34,35].…”

Section: Introductionmentioning

confidence: 99%

Scattering of the asymmetric $ϕ^6$ kinks from a $\mathcal{PT}$-symmetric perturbation: Creation of multiple pairs of kink-antikink from phonons

Saadatmand,

Marjaneh

2022

Preprint

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Interaction of asymmetric φ 6 kinks with a spatially localized PT -symmetric perturbation is investigated numerically. It has been shown that when the kink (antikink) hits the defect from the gain side, a final velocity of the kink decreases (increases), while for the kink and antikink coming from the opposite direction their final velocities remain unchanged. It is also found that when the kink interacts with the defect from the gain side multiple pair of the kink-antikink are formed from small amplitude waves (phonons) in the final states depending on the initial velocity of the initial kink and parameter of the perturbation.

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Collective coordinate system in (2+1) dimensions: CP¹ lumps-potential interaction

Cited by 7 publications

References 26 publications

Kinks and realistic impurity models in φ4-theory

Kinks and realistic impurity models in φ4-theory

Kinks and realistic impurity models in $φ^4$-theory

Scattering of the asymmetric $ϕ^6$ kinks from a $\mathcal{PT}$-symmetric perturbation: Creation of multiple pairs of kink-antikink from phonons

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Collective coordinate system in (2+1) dimensions: CP1 lumps-potential interaction

Cited by 7 publications

References 26 publications

Kinks and realistic impurity models in φ4-theory

Kinks and realistic impurity models in φ4-theory

Kinks and realistic impurity models in $φ^4$-theory

Scattering of the asymmetric $ϕ^6$ kinks from a $\mathcal{PT}$-symmetric perturbation: Creation of multiple pairs of kink-antikink from phonons

Contact Info

Product

Resources

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Collective coordinate system in (2+1) dimensions: CP¹ lumps-potential interaction