45 research outputs found
Improved model for the topological soliton-potential interaction in Phi^4 Model
An improved model for the soliton-potential interaction is presented. This
model is constructed with a better approximation for adding the potential to
the lagrangian through a space-time metric. The results of the model are
compared with other models and the differences are discussed.Comment: 8 pages, 11 figure
Analytical formulation for soliton-potential dynamics
An analytical model for the soliton-potential interaction is presented, by
constructing a collective coordinate for the system. Most of the characters of
the interaction are derived analytically while they are calculated by other
models numerically. We will find that the behaviour of the soliton is like a
point particle living under the influence of a complicated potential which is a
function of soliton velocity and the potential parameters. The analytic model
does not have a clear prediction for the islands of initial velocities in which
the soliton may reflect back or escape over the potential well.Comment: 12 pages, 10 figure
Interaction of topological solitons with defects: using a nontrivial metric
By including potential into the flat metric, we study interaction of
sine-Gordon soliton with potentials. We will show numerically that while the
soliton-barrier system shows fully classical behaviour, the soliton-well system
demonstrates non-classical behaviour. In particular, solitons with low
velocities are trapped in the well and emit energy radiation.Comment: 10 pages, 11 figure