Head butting sheep: Kink collisions in the presence of false vacua

Jennifer Ashcroft; Minoru Eto; Mareike Haberichter; Muneto Nitta; M. B. Paranjape

doi:10.1088/1751-8113/49/36/365203

Head butting sheep: Kink collisions in the presence of false vacua

Jennifer Ashcroft, Minoru Eto, Mareike Haberichter, Muneto Nitta, M. B. Paranjape

Faculty of Business and Commerce

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

We investigate numerically kink collisions in a 1 + 1 dimensional scalar field theory with multiple vacua. The domain wall model we are interested in involves two scalar fields and a potential term built from an asymmetric double well and (double) sine-Gordon potential together with an interaction term. Depending on the initial kink setup and impact velocities, the model allows for a wide range of scattering behaviours. Kinks can repel each other, annihilate, form true or false domain walls and reflect off each other.

Original language	English
Article number	365203
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	49
Issue number	36
DOIs	https://doi.org/10.1088/1751-8113/49/36/365203
Publication status	Published - 2016 Aug 17

Keywords

domain walls
false vacuum
kink
kink collisions
kink interaction
numerical simulations
solitons

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modelling and Simulation
Mathematical Physics
Physics and Astronomy(all)

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10.1088/1751-8113/49/36/365203

Cite this

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title = "Head butting sheep: Kink collisions in the presence of false vacua",

abstract = "We investigate numerically kink collisions in a 1 + 1 dimensional scalar field theory with multiple vacua. The domain wall model we are interested in involves two scalar fields and a potential term built from an asymmetric double well and (double) sine-Gordon potential together with an interaction term. Depending on the initial kink setup and impact velocities, the model allows for a wide range of scattering behaviours. Kinks can repel each other, annihilate, form true or false domain walls and reflect off each other.",

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AU - Haberichter, Mareike

AU - Nitta, Muneto

AU - Paranjape, M. B.

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AB - We investigate numerically kink collisions in a 1 + 1 dimensional scalar field theory with multiple vacua. The domain wall model we are interested in involves two scalar fields and a potential term built from an asymmetric double well and (double) sine-Gordon potential together with an interaction term. Depending on the initial kink setup and impact velocities, the model allows for a wide range of scattering behaviours. Kinks can repel each other, annihilate, form true or false domain walls and reflect off each other.

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KW - kink interaction

KW - numerical simulations

KW - solitons

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Head butting sheep: Kink collisions in the presence of false vacua

Abstract

Keywords

ASJC Scopus subject areas

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