Skip to main content

Research Repository

Advanced Search

All Outputs (128)

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.

Dynamical properties of a Soliton in a Potential Well (2007)
Journal Article
Piette, B., & Zakrzewski, W. (2007). Dynamical properties of a Soliton in a Potential Well. Journal of Physics A: Mathematical and Theoretical, 40(2), 329-346. https://doi.org/10.1088/1751-8113/40/2/011

We analyse the scattering of a two-dimensional soliton on a potential well. We show that this soliton can pass through the well, bounce back or become trapped and we study the dependence of the critical velocity on the width and the depth of the well... Read More about Dynamical properties of a Soliton in a Potential Well.

Mass Terms in the Skyrme Model (2006)
Presentation / Conference Contribution
Kopeliovich, V., Piette, B., & Zakrzewski, W. (2006, December). Mass Terms in the Skyrme Model. Presented at Quark 2006, St' Petersbourg, Russia

We consider various forms of the mass term for the Skyrme model and their implications on the properties of baryonic states. We show that modifications of the mass term, without changing the asymptotic behaviour of the profile function at large r, ca... Read More about Mass Terms in the Skyrme Model.

Electron self-trapping on a nano-circle. (2006)
Journal Article
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2006). Electron self-trapping on a nano-circle. Physica D: Nonlinear Phenomena, 218(1), 36-55. https://doi.org/10.1016/j.physd.2006.04.010

We study the self-trapping of quasiparticles (electrons, holes or excitons) in a molecular chain with the structure of a ring, taking into account the electron–phonon interaction and the radial and tangential deformations of the chain. A discrete sys... Read More about Electron self-trapping on a nano-circle..

Charge and energy transfer by solitons in low-dimensional nanosystems with helical structure (2006)
Journal Article
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2006). Charge and energy transfer by solitons in low-dimensional nanosystems with helical structure. Chemical Physics, 324(1), 259-266. https://doi.org/10.1016/j.chemphys.2006.01.033

We study the nonlinear mechanism of the energy and charge transfer in low-dimensional nanosystems with helical structure. We show that the helical symmetry is important for the formation, stability and dynamical properties of the soliton-like self-tr... Read More about Charge and energy transfer by solitons in low-dimensional nanosystems with helical structure.

Mass terms in the Skyrme Model (2006)
Journal Article
Kopeliovich, B., Piette, B., & Zakrzewski, W. (2006). Mass terms in the Skyrme Model. Physical Review D, Particles and fields, 73(1), https://doi.org/10.1103/physrevd.73.014006

We consider various forms of the mass term that can be used in the Skyrme model and their implications on the properties of baryonic states. It is shown that modifications of the mass term, without changing the asymptotic behavior of the profile func... Read More about Mass terms in the Skyrme Model.

Scattering of Topological Solitons on Holes and Barriers (2005)
Journal Article
Piette, B., Zakrzewski, W., & Brand, J. (2005). Scattering of Topological Solitons on Holes and Barriers. Journal of Physics A: Mathematical and General, 38(38), 10403-10412. https://doi.org/10.1088/0305-4470/38/48/011

We study the scattering properties of topological solitons on obstructions in the form of holes and barriers. We use the 'new baby Skyrme' model in (2 + 1) dimensions and we model the obstructions by making the coefficient of the baby Skyrme model po... Read More about Scattering of Topological Solitons on Holes and Barriers.

Planar Skyrmions: vibrational modes and dynamics (2005)
Journal Article
Piette, B., & Ward, R. (2005). Planar Skyrmions: vibrational modes and dynamics. Physica D: Nonlinear Phenomena, 201(1-2), 45-55. https://doi.org/10.1016/j.physd.2004.12.001

We study Skyrmion dynamics in a (2+1)-dimensional Skyrme model. The system contains a dimensionless parameter α, with α=0 corresponding to the O(3) sigma-model. If two Skyrmions collide head-on, then they can either coalesce or scatter—this depends o... Read More about Planar Skyrmions: vibrational modes and dynamics.

Static solutions of a D-dimensional Modified Nonlinear Schroedinger Equation (2003)
Journal Article
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2003). Static solutions of a D-dimensional Modified Nonlinear Schroedinger Equation. Nonlinearity, 16(4), 1481-1497. https://doi.org/10.1088/0951-7715/16/4/317

We study static solutions of a D-dimensional modified nonlinear Schrödinger equation (MNLSE) which was shown to describe, in two dimensions, the self-trapped (spontaneously localized) electron states in a discrete isotropic electron–phonon lattice [1... Read More about Static solutions of a D-dimensional Modified Nonlinear Schroedinger Equation.

Spherically symmetric solutions of the 6th order SU(N) Skyrme models (2001)
Journal Article
Floratos, I., & Piette, B. (2001). Spherically symmetric solutions of the 6th order SU(N) Skyrme models. Journal of Mathematical Physics, 42(12), 5580-5595. https://doi.org/10.1063/1.1415742

Following the construction described by Ioannidou et al. [J. Math. Phys. 40, 6353 (1999)], we use the rational map ansatz to construct analytically some topologically nontrivial solutions of the generalized SU(3) Skyrme model defined by adding a sixt... Read More about Spherically symmetric solutions of the 6th order SU(N) Skyrme models.

Understanding Skyrmions Using Rational Maps (2001)
Presentation / Conference Contribution
Manton, N., & Piette, B. (2001, December). Understanding Skyrmions Using Rational Maps. Presented at European Congress of Mathematics, Barcelona