292 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
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
Casimir energy for acoustic phonons in graphene
We find the Casimir energy, at finite temperature, for acoustic phonons in a
Graphene sheet suspended over a rectangular trench, and the corresponding
Casimir forces are interpreted as correction terms to the built-in tensions of
the Graphene. We show that these corrections generally break the tensional
isotropy of the membrane, and can increase or decrease the membrane tension. We
demonstrate that for a narrow rectangular trench with side-lengths in the order
of few nanometers and few micrometers, these temperature corrections are
expected to be noticeable () at the room temperature. These
corrections would be even more considerable by increasing the temperature, and
can be applied for adjusting the built-in tension of the Graphene. Consequently
we introduce a corrected version for the fundamental resonance frequency of the
Graphene resonator.Comment: 11pages, one figur
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
Soliton-potential interaction in the nonlinear Klein-Gordon model
The interaction of solitons with external potentials in nonlinear
Klein-Gordon field theory is investigated using an improved model. The
presented model has been constructed with a better approximation for adding the
potential to the Lagrangian through the metric of background space-time. The
results of the model are compared with another model and the differences are
discussed.Comment: 14 pages,8 figure
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