2 research outputs found
Wobbling kinks and shape mode interactions in a coupled two-component theory
The dynamics of a wobbling kink in a two-component coupled scalar
field theory (with an excited orthogonal shape mode) is addressed. For this
purpose, the vibration spectrum of the second order small kink fluctuation is
studied in order to find the corresponding vibration modes associated to the
first (longitudinal) and second (orthogonal) field components. By means of this
analysis, it was found that the number of possible shape modes depends on the
value of the coupling constant. It is notable that when one of the orthogonal
field shape modes is initially triggered, the unique shape mode of the
longitudinal field is also activated. This coupling causes the kink to emit
radiation with twice the frequency of excited mode in the first field
component. Meanwhile, in the orthogonal channel we find radiation with two
different frequencies: one is three times the frequency of the orthogonal
wobbling mode and another is the sum of the frequencies of the longitudinal
shape mode and the triggered mode. All the analytical results obtained in this
study have been successfully contrasted with those obtained through numerical
simulations.Comment: 20 pages, 12 figure
Wobbling kinks in a two-component scalar field theory: Interaction between shape modes
In this paper the interaction between the shape modes of the wobbling kinks
arising in the family of two-component MSTB scalar field theory models is
studied. The spectrum of the second order small kink fluctuation in this model
has two localized vibrational modes associated to longitudinal and orthogonal
fluctuations with respect to the kink orbit. It has been found that the
excitation of the orthogonal shape mode immediately triggers the longitudinal
one. In the first component channel the kink emits radiation with twice the
orthogonal wobbling frequency (not the longitudinal one as happens in the
-model). The radiation emitted in the second component has two dominant
frequencies: one is three times the frequency of the orthogonal wobbling mode
and the other is the sum of the frequencies of the longitudinal and orthogonal
vibration modes. This feature is explained analytically using perturbation
expansion theories.Comment: 28 pages, 11 figure