21 research outputs found
Kinks scattering in deformed model
The deformed model is introduced based on the
model using a deformation functional including a free
parameter . The kink solutions in different sectors and their internal modes
are obtained as functions of the deformation parameter and their
characteristics are evaluated as well. It is shown that the kinks of the
deformed model inherit some of their dynamical properties (like internal modes)
from the standard potential and some of their characteristics from
the model. The dynamics of kink-antikink (antikink-kink) scattering
is investigated in different sectors with various kink initial conditions as
well as different values of deformation parameter. According to the kinks'
initial velocity, colliding kinks may be bound together or scatter from each
other after the interaction. These two situations are distinguished by the
critical velocity, which itself depends on the deformation parameter of the
model. Due to the difference in the rest mass of kink solutions related to
different sectors, interesting and sometimes rare phenomena are observed during
the kink scattering and their interactions.Comment: 25 pages, 8 figure
Exotic Final States in the Multi-Kink Collisions
We study final states in the scattering of kinks and antikinks of the
field-theoretic model. We use the initial conditions in the form of
two, three or four static or moving kinks. In the numerical experiments we
observe a number of different processes such as emergence of static and moving
oscillons, change of the kink's topological sector, scattering of an oscillon
by a kink, production of kink-antikink pairs in oscillon-oscillon collisions.Comment: 11 pages, 5 figure
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
Multi-kink scattering in the double sine-Gordon model
We study collisions of two, three, and four kinks of the double sine-Gordon
model. The initial conditions are taken in a special form in order to provide
collision of all kinks in one point. We obtain dependences of the maximal
energy densities on the model parameter. We also analyze the final states
observed in these collisions.Comment: 24 pages, 12 figures; v2: figures, discussion and references added;
matches the published versio
Scattering of the double sine-Gordon kinks
We study the scattering of kink and antikink of the double sine-Gordon model.
There is a critical value of the initial velocity of the colliding
kinks, which separates different regimes of the collision. At
we observe kinks reflection, while at their interaction is
complicated with capture and escape windows. We obtain the dependence of
on the parameter of the model. This dependence possesses a series of
local maxima, which has not been reported by other authors. At some initial
velocities below the critical value we observe a new phenomenon -- the escape
of two oscillons in the final state. Besides that, at we found
the initial kinks' velocities at which the oscillons do not escape, and the
final configuration looks like a bound state of two oscillons.Comment: 12 pages, 7 figures; v2: minor changes to match version published in
EPJ
Multi-kink collisions in the model
We study simultaneous collisions of two, three, and four kinks and antikinks
of the model at the same spatial point. Unlike the kinks, the
kinks are asymmetric and this enriches the variety of the collision
scenarios. In our numerical simulations we observe both reflection and bound
state formation depending on the number of kinks and on their spatial ordering
in the initial configuration. We also analyze the extreme values of the energy
densities and the field gradient observed during the collisions. Our results
suggest that very high energy densities can be produced in multi-kink
collisions in a controllable manner. Appearance of high energy density spots in
multi-kink collisions can be important in various physical applications of the
Klein-Gordon model.Comment: 21 pages, 8 figures; v2: minor changes to match version published in
JHE