Multikink scattering in the $\phi^6$ model revisited
@inproceedings{Adam2022MultikinkSI, title={Multikink scattering in the \$\phi^6\$ model revisited}, author={Christoph Adam and Patrick Dorey and Alberto Garc{\'i}a Mart{\'i}n-Caro and Miguel Huidobro and K. Oleś and T. Romańczukiewicz and Ya. M. Shnir and Andrzej Wereszczynski}, year={2022} }
Antikink-kink (¯KK) collisions in the φ 6 model exhibit resonant scattering although the φ 6 kinks do not support any bound states to which energy could be transferred. In Phys. Rev. Lett. 107 (2011) 091602 it was conjectured that, instead, energy is transferred to a collective bound mode of the full ¯KK configuration. Here we present further strong evidence for this conjecture. Further, we construct a collective coordinate model (CCM) for ¯KK scattering based on this collective bound mode…
Figures and Tables from this paper
References
SHOWING 1-10 OF 52 REFERENCES
Kink–Antikink Scattering in φ4 and ϕ6 Models
- Physics
- 2013
For kink–antikink scattering within the φ4 non-linear field theory in one space and one time dimension resonance type configurations emerge when the relative velocity between kink and antikink falls…
Kink-antikink scattering in the ϕ4 model without static intersoliton forces
- PhysicsPhysical Review D
- 2020
Kink-antikink scattering in the $\phi^4$ model is investigated in the limit when the static inter-soliton force vanishes. We observe the formation of spectral walls and, further, identify a new…
Kink Collision in the Noncanonical $\varphi^{6}$ Model: A Model with Localized Inner Structures
- Physics
- 2022
Kink-antikink collisions in the φ⁶ model.
- MathematicsPhysical review letters
- 2011
Although the single-kink solutions for this model do not possess an internal vibrational mode, simulations reveal a resonant scattering structure, thereby providing a counterexample to the standard belief that the existence of such a mode is a necessary condition for multibounce resonances in general kink-antikink collisions.
Kink-Antikink Collisions in the Two-Dimensional φ4 Model
- Physics
- 1979
Inelastic kink-antikink collisions are investigated in the two-dimensional ¢' model. It is shown that a bound state of the kink and antikink is formed when the colliding velocity V is less than a…
Kink interactions in the (1+1)-dimensional $\phi^6$ model
- Physics
- 2014
We study kink scattering processes in the ( 1 + 1 ) -dimensional φ 6 model in the framework of the collective coordinate approximation. We find critical values of the initial velocities of the…
Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories
- PhysicsCommun. Nonlinear Sci. Numer. Simul.
- 2021
Scattering of the φ8 kinks with power-law asymptotics
- PhysicsCommun. Nonlinear Sci. Numer. Simul.
- 2019
Kink-Antikink Collisions in the φ4 Equation: The n-Bounce Resonance and the Separatrix Map
- PhysicsSIAM J. Appl. Dyn. Syst.
- 2005
A detailed mathematical explanation of a phenomenon known as the two-bounce resonance observed in collisions between kink and antikink traveling waves of the $\phi^4$ equations of mathematical physics, including the origin of several mathematical assumptions needed by previous researchers are provided.