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arxiv: 1710.04993 · v2 · pith:ZUXF5AKLnew · submitted 2017-10-13 · ✦ hep-th · cond-mat.mtrl-sci· math-ph· math.MP· nlin.PS

Scattering of kinks of the sinh-deformed φ⁴ model

classification ✦ hep-th cond-mat.mtrl-scimath-phmath.MPnlin.PS
keywords kinksmodelvarphiescapeinitialscatteringsinh-deformedvelocity
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We consider the scattering of kinks of the sinh-deformed $\varphi^4$ model, which is obtained from the well-known $\varphi^4$ model by means of the deformation procedure. Depending on the initial velocity $v_{in}$ of the colliding kinks, different collision scenarios are realized. There is a critical value $v_{cr}$ of the initial velocity, which separates the regime of reflection (at $v_{in}>v_{cr}$) and that of a complicated interaction (at $v_{in}<v_{cr}$) with kinks' capture and escape windows. Besides that, at $v_{in}$ below $v_{cr}$ we observe the formation of a bound state of two oscillons, as well as their escape at some values of $v_{in}$.

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  1. Nonlinear Dynamics of Kink Configurations: From Small to Large Kink Collisions

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    Numerical simulations of kink scattering in a λ-parameterized potential show non-monotonic critical velocities for small kinks, reduced resonance at large λ, and preferential production of large kinks from small-kink ...