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Ratchet behaviour of polarons in molecular chains (2008)
Journal Article
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2008). Ratchet behaviour of polarons in molecular chains. Journal of Physics: Condensed Matter, 20(25), https://doi.org/10.1088/0953-8984/20/25/255242

We study the ratchet behaviour of polarons in diatomic molecular chains under the influence of an external electromagnetic field which is periodic in time. We show that in asymmetric chains a harmonic unbiased field causes a drift of polarons. This p... Read More about Ratchet behaviour of polarons in molecular chains.

Skyrme Model with Different Mass Terms (2008)
Journal Article
Piette, B., & Zakrzewski, W. (2008). Skyrme Model with Different Mass Terms. Physical Review D, 77, https://doi.org/10.1103/physrevd.77.074009

We consider a one parameter family of mass terms for the Skyrme model that disfavors shell-like configurations for multibaryon classical solutions. We argue that a model with such mass terms can provide a better description of nuclei as shell-like co... Read More about Skyrme Model with Different Mass Terms.

Some Aspects of Dynamics of Topological Solitons (2008)
Presentation / Conference Contribution
Piette, B., & Zakrzewski, W. (2008). Some Aspects of Dynamics of Topological Solitons.

We present a general review of the dynamics of topological solitons and then discuss some recent work on the scattering of various solitons (in 1 and 2 dimensions) on potential obstructions.

Wobbles and other kink-breather solutions of the Sine Gordon model (2008)
Journal Article
Ferreira, L., Piette, B., & Zakrzewski, W. (2008). Wobbles and other kink-breather solutions of the Sine Gordon model. Physical review E: Statistical, nonlinear, and soft matter physics, 77, https://doi.org/10.1103/physreve.77.036613

We study various solutions of the sine-Gordon model in (1+1) dimensions. We use the Hirota method to construct some of them and then show that the wobble, discussed in detail in a recent paper by Kälberman, is one of such solutions. We concentrate ou... Read More about Wobbles and other kink-breather solutions of the Sine Gordon model.

Dynamics of the topological structures in inhomogeneous media (2008)
Presentation / Conference Contribution
Ferreira, L., Piette, B., & Zakrzewski, W. (2008). Dynamics of the topological structures in inhomogeneous media. In Journal of Physics: Conference Series. The 5th International Symposium on Quantum Theory and Symmetries: 22–28 July 2007, Valladolid, Spain. https://doi.org/10.1088/1742-6596/128/1/012027

We present a general review of the dynamics of topoligical solitons in 1 and 2 dimensions and then discuss some recent work on the scattering of various solitonic objects (such as kinks and breathers etc) on potential obstructions.

A simple formula for the conserved charges of soliton theories (2007)
Journal Article
Ferreira, L. A., & Zakrzewski, W. (2007). A simple formula for the conserved charges of soliton theories. Journal of High Energy Physics, 2007(09), https://doi.org/10.1088/1126-6708/2007/09/015

We present a simple formula for all the conserved charges of soliton theories, evaluated on the solutions belonging to the orbit of the vacuum under the group of dressing transformations. For pedagogical reasons we perform the explicit calculations f... Read More about A simple formula for the conserved charges of soliton theories.

Adiabatic self-trapped states in carbon nanotubes (2007)
Journal Article
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2007). Adiabatic self-trapped states in carbon nanotubes. Journal of Physics: Condensed Matter, 19(30), https://doi.org/10.1088/0953-8984/19/30/306205

We study the polaron (soliton) states of a quasiparticle (electron, hole, exciton) in a quasi-one-dimensional (quasi-1D) model which describes a carbon-type zigzag nanotube structure. In the Hamiltonian of the system we include the electron–phonon in... Read More about Adiabatic self-trapped states in carbon nanotubes.

Scattering of Sine-Gordon kinks on potential wells (2007)
Journal Article
Piette, B., & Zakrzewski, W. (2007). Scattering of Sine-Gordon kinks on potential wells. Journal of Physics A: Mathematical and Theoretical, 40(22), 5995-6010. https://doi.org/10.1088/1751-8113/40/22/016

We study the scattering properties of sine-Gordon kinks on obstructions in the form of finite size potential 'wells'. We model this by making the coefficient of the cos(phiv) − 1 term in the Lagrangian position dependent. We show that when the kinks... Read More about Scattering of Sine-Gordon kinks on potential wells.

Self-trapped electron states in carbon nanotubes (2007)
Journal Article
Bratek, L., Brizhik, L., Eremko, A., Piette, B., Watson, M., & Zakrzewski, W. (2007). Self-trapped electron states in carbon nanotubes. Physica D: Nonlinear Phenomena, 228(2), 130-139. https://doi.org/10.1016/j.physd.2007.02.013

We study numerically self-trapped (polaron) states of quasiparticles (electrons or holes) in a deformable nanotube formed by a hexagonal lattice, wrapped into a cylinder (carbon- and boron nitride-type nanotube structures). We present a Hamiltonian f... Read More about Self-trapped electron states in carbon nanotubes.