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Outputs (147)

Canonical surfaces associated with projectors in Grassmannian sigma models (2010)
Journal Article
Hussin, V., Yurdusen, I., & Zakrzewski, W. (2010). Canonical surfaces associated with projectors in Grassmannian sigma models. Journal of Mathematical Physics, 51(10), Article 103509. https://doi.org/10.1063/1.3486690

We discuss the construction of higher-dimensional surfaces based on the harmonic maps of S2 into PN−1 and other Grassmannians. We show that there are two ways of implementing this procedure—both based on the use of the relevant projectors. We study v... Read More about Canonical surfaces associated with projectors in Grassmannian sigma models.

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 class of (1+1) dim models that generalize the Sine-Gordon model and some of their properties. (2010)
Journal Article
Zakrzewski, W. (2010). A class of (1+1) dim models that generalize the Sine-Gordon model and some of their properties. Physics of Atomic Nuclei, 73(3), 587-594. https://doi.org/10.1134/s1063778810030221

In this talk we discuss the models recently presented by Bazeia et al. We present various properties of their kink-like solutions and, in particular, the properties of these kinks when they scatter on potential obstructions. We also discuss the issue... Read More about A class of (1+1) dim models that generalize the Sine-Gordon model and some of their properties..

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..

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.

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.

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.