Scattering of Topological Solitons on Barriers and Holes in Two λϕ^4 Models

Abstract

We present results of our studies of various scattering properties of topological solitons on obstructions in the form of holes and barriers in 1+1 dimensions. Our results are based on two models involving a ϕ^4 potential. The obstructions are characterised by a potential parameter, λwhich has a non-zero value in a certain region of space and zero elsewhere. In the first model the potential parameter is included in the potential and in the second model the potential parameter is included in the metric. Our results are based on numerical simulations and analytical considerations.

arXiv comment11 pages, 12 postscript figures

References in corpus (4)

• Interaction of sine-Gordon kinks with defects: The two-bounce resonance
• Interaction of topological solitons with defects: using a nontrivial metric
• Dynamical properties of a Soliton in a Potential Well
• Scattering of topological solitons on holes and barriers

Cited by in corpus (8)

• Analytical formulation for soliton-potential dynamics
• Soliton-potential interaction in the nonlinear Klein-Gordon model
• Collective coordinate variable for soliton-potential system in sine-Gordon model
• Improved model for the topological soliton-potential interaction in Phi^4 Model
• Collective-coordinate analysis of inhomogeneous nonlinear Klein-Gordon field theory
• Scattering of Topological Solitons on Barriers and Holes of Deformed Sine-Gordon Models
• Q-ball Scattering on Barriers and Holes in 1 and 2 Spatial Dimensions
• Scattering of quasi-one-dimensional solitons on impurities in large Josephson junctions