Kink-antikink formation from an oscillation mode by sudden distortion of the evolution potential
- Astrophysics and Cosmology Research Unit, School of Mathematical Sciences, University of KwaZulu-Natal, Durban, 4041 (South Africa)
- Department of Physics, University of Ioannina (Greece)
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.
- OSTI ID:
- 21266404
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 79, Issue 6; Other Information: DOI: 10.1103/PhysRevD.79.065032; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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