Skip to main content

Research Repository

Advanced Search

All Outputs (97)

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.

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.

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.

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.

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.

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.

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.

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.