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Skyrmion stars and the multilayered rational map ansatz (2011)
Journal Article
Nelmes, S., & Piette, B. (2011). Skyrmion stars and the multilayered rational map ansatz. Physical Review D, 84(8), Article 085017. https://doi.org/10.1103/physrevd.84.085017

We investigate the large baryon number sector of the Einstein-Skyrme model as a possible model for baryon stars and construct low energy configurations that resemble neutron stars. Previous studies have shown that gravitating Skyrmions produced by us... Read More about Skyrmion stars and the multilayered rational map ansatz.

A Compartmental Model Analysis of Integrative and Self-Regulatory Ion Dynamics in Pollen Tube Growth (2010)
Journal Article
Liu, J., Piette, B., Deeks, M., Franklin-Tong, V., & Hussey, P. (2010). A Compartmental Model Analysis of Integrative and Self-Regulatory Ion Dynamics in Pollen Tube Growth. PLoS ONE, 5(10), Article e13157. https://doi.org/10.1371/journal.pone.0013157

Sexual reproduction in higher plants relies upon the polarised growth of pollen tubes. The growth-site at the pollen tube tip responds to signalling processes to successfully steer the tube to an ovule. Essential features of pollen tube growth are po... Read More about A Compartmental Model Analysis of Integrative and Self-Regulatory Ion Dynamics in Pollen Tube Growth.

Ratchet dynamics of large polarons in asymmetric diatomic molecular chains (2010)
Journal Article
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2010). Ratchet dynamics of large polarons in asymmetric diatomic molecular chains. Journal of Physics: Condensed Matter, 22(15), Article 155105. https://doi.org/10.1088/0953-8984/22/15/155105

We study the dynamics of large polarons in diatomic molecular chains, at zero temperature, under the influence of an external, periodic in time, electric field of zero mean value. We show that in asymmetric chains, i.e. chains with two different atom... Read More about Ratchet dynamics of large polarons in asymmetric diatomic molecular chains.

Ratchet effect of Davydov's solitons in nonlinear low-dimensional nanosystems. (2010)
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 (2009)
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.

Davydov's solitons in zigzag carbon nanotubes (2009)
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.

A Thermodynamic Model of Microtubule Assembly and Disassembly (2009)
Journal Article
Piette, B., Liu, J., Peeters, K., Smertenko, A., Hawkins, T., Deeks, M., …Hussey, P. (2009). A Thermodynamic Model of Microtubule Assembly and Disassembly. PLoS ONE, 4(8), Article e6378. https://doi.org/10.1371/journal.pone.0006378

Microtubules are self-assembling polymers whose dynamics are essential for the normal function of cellular processes including chromosome separation and cytokinesis. Therefore understanding what factors effect microtubule growth is fundamental to our... Read More about A Thermodynamic Model of Microtubule Assembly and Disassembly.

Scattering of sine-Gordon Breathers on a Potential Well (2009)
Journal Article
Piette, B., & Zakrzewski, W. (2009). Scattering of sine-Gordon Breathers on a Potential Well. Physical review E: Statistical, nonlinear, and soft matter physics, 79(4), Article 046603. https://doi.org/10.1103/physreve.79.046603

We analyze the scattering of the classical sine-Gordon breathers on a square potential well. We show that the scattering process depends not only on the vibration frequency of the breather and its incoming speed but also on its phase as well as the d... Read More about Scattering of sine-Gordon Breathers on a Potential Well.

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.

Scattering of sine-Gordon Kinks and Breathers on a Finite Width Well (2008)
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.

Some Aspects of Dynamics of Topological Solitons (2008)
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 (2008)
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.

Dynamics of the topological structures in inhomogeneous media (2008)
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.

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.

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.

Skyrmion Vibration Modes within the Rational Map Ansatz (2008)
Journal Article
Lin, W., & Piette, B. (2008). Skyrmion Vibration Modes within the Rational Map Ansatz. Physical Review D, 77(12), Article 125028. https://doi.org/10.1103/physrevd.77.125028

We study the vibration modes of the Skyrme model within the rational map ansatz. We show that the vibrations of the radial profiles and the rational maps are decoupled and we consider explicitly the cases B=1, B=2, and B=4. We then compare our result... Read More about Skyrmion Vibration Modes within the Rational Map Ansatz.

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.

Towards Skyrmion Stars: Large Baryon Configurations in the Einstein-Skyrme Model (2007)
Journal Article
Piette, B., & Probert, G. (2007). Towards Skyrmion Stars: Large Baryon Configurations in the Einstein-Skyrme Model. Physical Review D, 75, https://doi.org/10.1103/physrevd.75.125023

We investigate the large baryon number sector of the Einstein-Skyrme model as a possible model for baryon stars. Gravitating hedgehog skyrmions have been investigated previously and the existence of stable solitonic stars excluded due to energy consi... Read More about Towards Skyrmion Stars: Large Baryon Configurations in the Einstein-Skyrme Model.

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.