12 research outputs found
Collisions of kinks in deformed and models
Two hyperbolic-deformed field theoretic models are discussed. In both of
them, due to the effect of specific deformation function on the well known
and models, their internal structure may change
significantly. Unlike the kinks solutions, which has only one
internal mode in addition to its translational mode, the kinks of the
hyperbolic-deformed model can have several internal modes.
Moreover, the deformation on the model has other interesting
features, because the kinks of the model have only a zero mode and
the deformation may cause the appearance of internal mode for both kink and
antikink. The presence of the new internal modes modify the collisions which we
explore in the present work. The deformation relies on a real parameter, which
controls the number of internal modes, and we also study how the deformation
parameter alter the mass of the kinks and the critical velocities involved in
the collisions.Comment: Accepted for publication in Chaos, Solitons and Fractal
Semi-compactness and multiple oscillating pulses in kink scattering
In this work we consider model of asymmetric kinks, where the behavior of the
solution in one side is different from the other side. Also, the models depend
of an integer and, with the increase of , the constructed kink assumes a
hybrid character: a compactlike profile on one side and a kinklike profile on
the other side. We investigate numerically the kink-antikink and antikink-kink
dynamics, with the aim to understand the effect of the transition of the usual
kink to the semi-compacton structure. The kink-antikink process shows the
formation of one-bounce windows for small values of . The increase of
favors the breaking this structure and the appearance of oscillatory modes. For
antikink-kink collisions we report the appearance of two-bounce windows for
small values of the parameter. We also found an intricate structure of
two-oscillation windows.Comment: 25 pages, 19 figures. v3: updated to match the published versio
Kink scattering in the presence of geometric constrictions
We investigate kink-antikink collisions in a model characterized by two
scalar fields in the presence of geometric constrictions. The model includes an
auxiliary function that modifies the kinematics associated with one of the two
fields. An important fact is that one of the fields can be solved
independently, being responsible for changing the internal structure of the
second one. We performed several collisions and observed the presence of
resonance windows for small values of the parameters. Furthermore, we have been
able to show the alternation between the appearance of oscillating pulses, as
well as the annihilation and formation of kink-antikink pairs when the
geometric constriction is more pronounced. The study of kink dynamics in models
with geometric constrictions is connected with issues of interest such as
domain wall formation and magnetization at the manometric scale.Comment: 30 pages, 17 figures, final version to be published in JHE
Asymmetry engendered by symmetric kink-antikink scattering in a degenerate two-field model
In this paper we analyze the scattering process in a two-field model in
-dimensions, with the special property to have several topological
solutions: i) one with higher rest mass, characterized by a nested defect (lump
inside a kink), and ii) four others having lower rest mass, degenerated, and
characterized by a kink inside kink. We investigate kink-antikink symmetric
scattering, where the kink and antikink have higher rest mass and the same
initial velocity modulus . The output of scattering presents a wide range of
behaviors, such as annihilation of the kink-antikink pair, the emission of
radiation jets, the generation of oscillating pulses and the change of the
topological sector. We show that the changing of the topological sector is
favored, and only two of the four sectors are possible as outcomes. Moreover,
despite the degeneracy in energy, the distribution of the final states is
asymmetric in the phase space, being an effect of the presence of vibrational
states.Comment: published by International Journal of Modern Physics