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Title: Kink-antikink formation from an oscillation mode by sudden distortion of the evolution potential

Abstract

We demonstrate numerically that an oscillation mode in 1+1 dimensions (e.g., a breather or an oscillon) can decay into a kink-antikink pair by a sudden distortion of the evolution potential which occurs within a certain time or space domain. In particular, we consider the transition of a sine-Gordon potential into a {phi}{sup 4} potential. The breather field configuration is assumed to initially evolve in a sine-Gordon potential with velocity v and oscillation frequency {omega}. We then consider two types of numerical experiments: (a) an abrupt transition of the potential to a {phi}{sup 4} form at t{sub 0}=0 over the whole 1-dimensional lattice; and (b) the impact of the breather on a region x>x{sub 0}=0 where the potential has the {phi}{sup 4} form which is different from the sine-Gordon form valid at x<x{sub 0}=0. We find that in both cases there is a region of parameters (v,{omega}) such that the breather decays to a kink-antikink pair. This region of parameters for kink-antikink formation is qualitatively similar with the parameter region where the energy of the breather exceeds the energy of the kink-antikink pair in the {phi}{sup 4} potential. We demonstrate that the same mechanism for soliton formation is realized when usingmore » a Gaussian oscillator (oscillon) instead of a breather. We briefly discuss the implications of our results for realistic experiments as well as their extension to soliton formation in two and three space dimensions.« less

Authors:
 [1];  [2]
  1. Astrophysics and Cosmology Research Unit, School of Mathematical Sciences, University of KwaZulu-Natal, Durban, 4041 (South Africa)
  2. Department of Physics, University of Ioannina (Greece)
Publication Date:
OSTI Identifier:
21266404
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 79; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.79.065032; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COMPUTERIZED SIMULATION; CONFIGURATION; EVOLUTION; ONE-DIMENSIONAL CALCULATIONS; OSCILLATION MODES; OSCILLATORS; PARTICLE DECAY; POTENTIALS; SINE-GORDON EQUATION

Citation Formats

Carvalho, C S, and Perivolaropoulos, L. Kink-antikink formation from an oscillation mode by sudden distortion of the evolution potential. United States: N. p., 2009. Web. doi:10.1103/PHYSREVD.79.065032.
Carvalho, C S, & Perivolaropoulos, L. Kink-antikink formation from an oscillation mode by sudden distortion of the evolution potential. United States. https://doi.org/10.1103/PHYSREVD.79.065032
Carvalho, C S, and Perivolaropoulos, L. Sun . "Kink-antikink formation from an oscillation mode by sudden distortion of the evolution potential". United States. https://doi.org/10.1103/PHYSREVD.79.065032.
@article{osti_21266404,
title = {Kink-antikink formation from an oscillation mode by sudden distortion of the evolution potential},
author = {Carvalho, C S and Perivolaropoulos, L},
abstractNote = {We demonstrate numerically that an oscillation mode in 1+1 dimensions (e.g., a breather or an oscillon) can decay into a kink-antikink pair by a sudden distortion of the evolution potential which occurs within a certain time or space domain. In particular, we consider the transition of a sine-Gordon potential into a {phi}{sup 4} potential. The breather field configuration is assumed to initially evolve in a sine-Gordon potential with velocity v and oscillation frequency {omega}. We then consider two types of numerical experiments: (a) an abrupt transition of the potential to a {phi}{sup 4} form at t{sub 0}=0 over the whole 1-dimensional lattice; and (b) the impact of the breather on a region x>x{sub 0}=0 where the potential has the {phi}{sup 4} form which is different from the sine-Gordon form valid at x<x{sub 0}=0. We find that in both cases there is a region of parameters (v,{omega}) such that the breather decays to a kink-antikink pair. This region of parameters for kink-antikink formation is qualitatively similar with the parameter region where the energy of the breather exceeds the energy of the kink-antikink pair in the {phi}{sup 4} potential. We demonstrate that the same mechanism for soliton formation is realized when using a Gaussian oscillator (oscillon) instead of a breather. We briefly discuss the implications of our results for realistic experiments as well as their extension to soliton formation in two and three space dimensions.},
doi = {10.1103/PHYSREVD.79.065032},
url = {https://www.osti.gov/biblio/21266404}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 6,
volume = 79,
place = {United States},
year = {2009},
month = {3}
}