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Professor Bernard Piette's Outputs (30)

SU(N) Skyrmions and two dimensional CPN Rational Maps
Presentation / Conference Contribution
Ioannidou, T., Piette, B., & Zakrzewski, W. (1999, December). SU(N) Skyrmions and two dimensional CPN Rational Maps. Presented at New symmetries and integrable models, Karpacz

Mass Terms in the Skyrme Model
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.

Scattering of sine-Gordon Kinks and Breathers on a Finite Width Well
Presentation / Conference Contribution
Well. Presented at Dynamic Systems and Applications, Atlanta, Georgia, USA

We analyse the scattering of sine-Gordon kinks and breathers on a square potential well. We show that when a kink is sent onto the well, it can go through it, be trapped, or sometimes even bounce back out of the well. For breathers, the situation is... Read More about Scattering of sine-Gordon Kinks and Breathers on a Finite Width Well.

Skyrmions and Domain Walls
Presentation / Conference Contribution
Piette, B., & Zakrzewski, W. (1999, December). Skyrmions and Domain Walls. Presented at Properties, Dynamics, Interactions and Applications,

Nontopological structures in the baby-Skyrme model.
Presentation / Conference Contribution
Piette, B., & Zakrzewski, W. (2000, December). Nontopological structures in the baby-Skyrme model. Presented at Solitons, Properties, Dynamics, Interactions and Applications,

Some Aspects of Dynamics of Topological Solitons
Presentation / Conference Contribution
Piette, B., & Zakrzewski, W. (2008, December). Some Aspects of Dynamics of Topological Solitons. Presented at 22nd Max Born Symposium,, Wroclaw

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.

Effects of Periodic electromagnetic Field on Charge Transport in Macromolecules
Presentation / Conference Contribution
Macromolecules. Presented at Frohlich Symposium, Biophysical Aspects of Cancer: Electromagnetic Mechanisms

We study effects of periodic fields on charge transport in macromolecules and show that solitons acquire complex dynamics induced by the interplay between the periodic in time external field, energy dissipation, and depends on the molecule symmetry.... Read More about Effects of Periodic electromagnetic Field on Charge Transport in Macromolecules.

Davydov's solitons in zigzag carbon nanotubes
Presentation / Conference Contribution
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2009, December). Davydov's solitons in zigzag carbon nanotubes. Presented at Molecular Self-Organization in Micro-, Nano-, and Macro-Dimensions: From Molecules to Water, to Nanoparticles, DNA and Proteins

Nonlinear mechanism of charge transport in low-dimensional nanosystems is considered, based on the account of the electron–phonon interaction that arises from the deformation dependencies of the on-site and the hopping interaction energies at interme... Read More about Davydov's solitons in zigzag carbon nanotubes.

Skyrmions from Harmonic Maps
Presentation / Conference Contribution
Ioannidou, T., Piette, B., & Zakrzewski, W. (2000, December). Skyrmions from Harmonic Maps. Presented at Quark 2000, St Petersburg

Skyrmions in (2+1) dimensions
Presentation / Conference Contribution
Peyrard, M., Piette, B., & Zakrzewski, W. (1991, December). Skyrmions in (2+1) dimensions. Presented at $25^{th}$ International Conference on High Energy Physics

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

Some Solutions of the U(N) Sigma Models
Presentation / Conference Contribution
Piette, B. (1988, December). Some Solutions of the U(N) Sigma Models. Presented at Proc. 16th international Colloquium on Group Theoretical Methods in Physics, Varna

Dynamics of the topological structures in inhomogeneous media
Presentation / Conference Contribution
Ferreira, L., Piette, B., & Zakrzewski, W. (2008, December). Dynamics of the topological structures in inhomogeneous media. Presented at The 5th International Symposium on Quantum Theory and Symmetries, Valladolid, Spain

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.

Ratchet effect of Davydov's solitons in nonlinear low-dimensional nanosystems.
Presentation / Conference Contribution
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2010, January). Ratchet effect of Davydov's solitons in nonlinear low-dimensional nanosystems. Presented at Molecular Self-Organization in Micro-, Nano-, and Macro-Dimensions: From Molecules to Water, to Nanoparticles, DNA and Proteins”, Kiev

We study the ratchet behavior 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 ph... Read More about Ratchet effect of Davydov's solitons in nonlinear low-dimensional nanosystems..

Some Properties of Solitons
Presentation / Conference Contribution
Brizhik, L., Eremko, A., Ferreira, L., Piette, B., & Zakrzewski, W. (2009, December). Some Properties of Solitons. Presented at SelfOrganization of Molecular Systems: NATO Advanced Research Workshop on Molecular Self-Organization, Kiev

We present a general review of some aspects of the dynamics of topological solitons in 1 and 2 dimensions. We discuss some recent work on the scattering of solitons on potential obstructions and in the presence of some external fields.