Skip to main content

Research Repository

Advanced Search

All Outputs (120)

Fermionic spectral walls in kink collisions (2022)
Journal Article
Campos, J., Mohammadi, A., Queiruga, J., Wereszczynski, A., & Zakrzewski, W. (2023). Fermionic spectral walls in kink collisions. Journal of High Energy Physics, 2023, Article 71 (2023). https://doi.org/10.1007/jhep01%282023%29071

We show that a spectral wall, i.e., an obstacle in the dynamics of a bosonic soliton, which arises due to the transition of a normal mode into the continuum spectrum, exists after coupling the original bosonic model to fermions. This spectral wall ca... Read More about Fermionic spectral walls in kink collisions.

Spectral walls in multifield kink dynamics (2021)
Journal Article
Adam, C., Oles, K., Romanczukiewicz, T., Wereszczynski, A., & Zakrzewski, W. (2021). Spectral walls in multifield kink dynamics. Journal of High Energy Physics, 2021(8), https://doi.org/10.1007/jhep08%282021%29147

We show that spectral walls are common phenomena in the dynamics of kinks in (1+1) dimensions. They occur in models based on two or more scalar fields with a nonempty Bogomol’nyi-Prasad-Sommerfield (BPS) sector, hosting two zero modes, where they are... Read More about Spectral walls in multifield kink dynamics.

Scattering of compact oscillons (2020)
Journal Article
Hahne, F., Klimas, P., Streibel, J., & Zakrzewski, W. (2020). Scattering of compact oscillons. Journal of High Energy Physics, 2020(1), Article 6. https://doi.org/10.1007/jhep01%282020%29006

We study various aspects of the scattering of generalized compact oscillons in the signum-Gordon model in (1+1) dimensions. Using covariance of the model we construct traveling oscillons and study their interactions and the dependence of these intera... Read More about Scattering of compact oscillons.

Long-range donor-acceptor electron transport mediated by α helices (2019)
Journal Article
Brizhik, L., Luo, J., Piette, B., & Zakrzewski, W. (2019). Long-range donor-acceptor electron transport mediated by α helices. Physical Review E, 100(6), Article 062205. https://doi.org/10.1103/physreve.100.062205

We study the long-range electron and energy transfer mediated by a polaron on an α-helix polypeptide chain coupled to donor and acceptor molecules at opposite ends of the chain. We show that for specific parameters of the system, an electron initiall... Read More about Long-range donor-acceptor electron transport mediated by α helices.

Self-dual sectors for scalar field theories in (1 + 1) dimensions (2019)
Journal Article
Ferreira, L., Klimas, P., & Zakrzewski, W. J. (2019). Self-dual sectors for scalar field theories in (1 + 1) dimensions. Journal of High Energy Physics, 2019(1), Article 20. https://doi.org/10.1007/jhep01%282019%29020

We use ideas of generalized self-duality conditions to construct real scalar field theories in (1 + 1)-dimensions with exact self dual sectors. The approach is based on a pre-potential U that defines the topological charge and the potential energy of... Read More about Self-dual sectors for scalar field theories in (1 + 1) dimensions.

Oscillons in a perturbed signum-Gordon model (2018)
Journal Article
Klimas, P., Streibel, J., Wereszczynski, A., & Zakrzewski, W. (2018). Oscillons in a perturbed signum-Gordon model. Journal of High Energy Physics, 2018(04), Article 102. https://doi.org/10.1007/jhep04%282018%29102

We study various properties of a perturbed signum-Gordon model, which has been obtained through the dimensional reduction of the called ‘first BPS submodel of the Skyrme model’. This study is motivated by the observation that the first BPS submodel o... Read More about Oscillons in a perturbed signum-Gordon model.

Collective coordinate approximation to the scattering of solitons in modified NLS and sine-Gordon models (2016)
Journal Article
Baron, H., & Zakrzewski, W. (2016). Collective coordinate approximation to the scattering of solitons in modified NLS and sine-Gordon models. Journal of High Energy Physics, 2016(6), Article 185. https://doi.org/10.1007/jhep06%282016%29185

We investigate the validity of collective coordinate approximations to the scattering of two solitons in several classes of (1+1) dimensional field theory models. We consider models which are deformations of the sine-Gordon (SG) or the nonlinear Schr¨... Read More about Collective coordinate approximation to the scattering of solitons in modified NLS and sine-Gordon models.

Quasi-integrable deformations of the SU(3) Affine Toda theory (2016)
Journal Article
Ferreira, L., Klimas, P., & Zakrzewski, W. J. (2016). Quasi-integrable deformations of the SU(3) Affine Toda theory. Journal of High Energy Physics, 2016(5), Article 65. https://doi.org/10.1007/jhep05%282016%29065

We consider deformations of the SU(3) Affine Toda theory (AT) and investigate the integrability properties of the deformed theories. We find that for some special deformations all conserved quantities change to being conserved only asymptotically, i.e.... Read More about Quasi-integrable deformations of the SU(3) Affine Toda theory.

General relativisitic, nonstrandard model for the dark sector of the Universe (2015)
Journal Article
Stichel, P., & Zakrzewski, W. (2015). General relativisitic, nonstrandard model for the dark sector of the Universe. The European Physical Journal C, 75(1), Article 9. https://doi.org/10.1140/epjc/s10052-014-3218-3

We present a general relativistic version of the self-gravitating fluid model for the dark sector of the Universe (darkon fluid) introduced in Stichel and Zakrzewski (Phys Rev D 80:083513, 2009) and extended and reviewed in Stichel and Zakrzewski (En... Read More about General relativisitic, nonstrandard model for the dark sector of the Universe.

Donor-acceptor electron transport mediated by solitons (2014)
Journal Article
Brizhik, L., Piette, B., & Zakrzewski, W. (2014). Donor-acceptor electron transport mediated by solitons. Physical review E: Statistical, nonlinear, and soft matter physics, 90(5), Article 052915. https://doi.org/10.1103/physreve.90.052915

We study the long-range electron and energy transfer mediated by solitons in a quasi-one-dimensional molecular chain (conjugated polymer, alpha-helical macromolecule, etc.) weakly bound to a donor and an acceptor. We show that for certain sets of par... Read More about Donor-acceptor electron transport mediated by solitons.

Collective coordinate approximation to the scattering of solitons in the (1+1) dimensional NLS model (2014)
Journal Article
Baron, H., Zakrzewski, W., & Luchini, G. (2014). Collective coordinate approximation to the scattering of solitons in the (1+1) dimensional NLS model. Journal of Physics A: Mathematical and Theoretical, 47(26), Article 265201. https://doi.org/10.1088/1751-8113/47/26/265201

We present a collective coordinate approximation to model the dynamics of two interacting nonlinear Schrödinger solitons. We discuss the accuracy of this approximation by comparing our results with those of the full numerical simulations and find tha... Read More about Collective coordinate approximation to the scattering of solitons in the (1+1) dimensional NLS model.

Clustering and decomposition for non-BPS solutions of the CPN−1 models (2014)
Journal Article
Bolognesi, S., & Zakrzewski, W. (2014). Clustering and decomposition for non-BPS solutions of the CPN−1 models. Physical Review D, 89(6), Article 065013. https://doi.org/10.1103/physrevd.89.065013

We look at solutions [both Bogomol’nyi-Prasad-Sommerfield (BPS) and non-BPS] of the CPN−1 model on R×S1 (with twisted boundary conditions), in particular by using a conformal mapping technique, and we show how to interpret these solutions by decompos... Read More about Clustering and decomposition for non-BPS solutions of the CPN−1 models.

Numerical and analytical tests of quasi-integrability in modified Sine-Gordon models (2014)
Journal Article
Ferreira, L., & Zakrzewski, W. (2014). Numerical and analytical tests of quasi-integrability in modified Sine-Gordon models. Journal of High Energy Physics, 2014(1), Article 058. https://doi.org/10.1007/jhep01%282014%29058

Following our attempts to define quasi-integrability in which we related this concept to a particular symmetry of the two-soliton function we check this condition in three classes of modified sine-Gordon models in (1 + 1) dimensions. We find that the... Read More about Numerical and analytical tests of quasi-integrability in modified Sine-Gordon models.

A Skyrme-like model with an exact BPS bound (2013)
Journal Article
Ferreira, L., & Zakrzewski, W. (2013). A Skyrme-like model with an exact BPS bound. Journal of High Energy Physics, 2013(9), Article 097. https://doi.org/10.1007/jhep09%282013%29097

We propose a new Skyrme-like model with fields taking values on the sphere S3 or, equivalently, on the group SU(2). The action of the model contains a quadratic kinetic term plus a quartic term which is the same as that of the Skyrme-Faddeev model. T... Read More about A Skyrme-like model with an exact BPS bound.

Some aspects of self-duality and generalised BPS theories (2013)
Journal Article
Adam, C., Ferreira, L., da Hora, E., Wereszczynski, A., & Zakrzewski, W. (2013). Some aspects of self-duality and generalised BPS theories. Journal of High Energy Physics, 2013(8), Article 62. https://doi.org/10.1007/jhep08%282013%29062

If a scalar field theory in (1+1) dimensions possesses soliton solutions obeying first order BPS equations, then, in general, it is possible to find an infinite number of related field theories with BPS solitons which obey closely related BPS equatio... Read More about Some aspects of self-duality and generalised BPS theories.