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 Φ4 potential. The breather field configuration is assumed to initially evolve in a sine-Gordon potential with velocity v and oscillation frequency ω. We then consider two types of numerical experiments: (a) an abrupt transition of the potential to a Φ4 form at t0=0 over the whole 1-dimensional lattice; and (b) the impact of the breather on a region x>x0=0 where the potential has the Φ4 form which is different from the sine-Gordon form valid at x<x0=0. We find that in both cases there is a region of parameters (v,ω) 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 Φ4 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.
- Publication:
-
Physical Review D
- Pub Date:
- March 2009
- DOI:
- 10.1103/PhysRevD.79.065032
- arXiv:
- arXiv:0901.4109
- Bibcode:
- 2009PhRvD..79f5032C
- Keywords:
-
- 11.27.+d;
- Extended classical solutions;
- cosmic strings domain walls texture;
- High Energy Physics - Phenomenology;
- Astrophysics - Cosmology and Extragalactic Astrophysics;
- Condensed Matter - Other Condensed Matter;
- High Energy Physics - Theory;
- Mathematical Physics
- E-Print:
- 8 pages, 9 figures. The Mathematica files used for the production of the figures may be downloaded from http://leandros.physics.uoi.gr/partkinks.zip