Kinkantikink 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 kinkantikink 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 sineGordon potential into a Φ^{4} potential. The breather field configuration is assumed to initially evolve in a sineGordon 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 Φ^{4} form at t_{0}=0 over the whole 1dimensional lattice; and (b) the impact of the breather on a region x>x_{0}=0 where the potential has the Φ^{4} form which is different from the sineGordon form valid at x<x_{0}=0. We find that in both cases there is a region of parameters (v,ω) such that the breather decays to a kinkantikink pair. This region of parameters for kinkantikink formation is qualitatively similar with the parameter region where the energy of the breather exceeds the energy of the kinkantikink pair in the Φ^{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.
 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
 EPrint:
 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