Zobrazeno 1 - 10
of 113
pro vyhledávání: '"Zakrzewski, Wojtek"'
Publikováno v:
Phys. Rev. E 100, 062205 (2019)
We study the long-range electron and energy transfer mediated by a polaron on an $\alpha$-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 i
Externí odkaz:
http://arxiv.org/abs/1909.08266
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
Externí odkaz:
http://arxiv.org/abs/1808.10052
Autor:
ter Braak, Floris, Zakrzewski, Wojtek
We study various properties of the soliton solutions of the modified regularized long-wave equation. This model possesses exact one- and two-soliton solutions but no other solutions are known. We show that numerical three-soliton configurations, for
Externí odkaz:
http://arxiv.org/abs/1707.00669
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,
Externí odkaz:
http://arxiv.org/abs/1602.02003
A new approach for the construction of finite action solutions of the supersymmetric $\mathbb{C}P^{N-1}$ sigma model is presented. We show that this approach produces more non-holomorphic solutions than those obtained in previous approaches. We study
Externí odkaz:
http://arxiv.org/abs/1507.08508
We investigate the geometric characteristics of constant gaussian curvature surfaces obtained from solutions of the $G(m,n)$ sigma model. Most of these solutions are related to the Veronese sequence. We show that we can distinguish surfaces with the
Externí odkaz:
http://arxiv.org/abs/1412.1368
Autor:
Zakrzewski, Wojtek, Baron, Helen
We investigate the validity of collective coordinate approaximations to the scattering of solitons in several classes of models in (1+1) dimensional field theory models. We look at models which are deformations of the sine-Gordon (SG) or the nonlinea
Externí odkaz:
http://arxiv.org/abs/1411.3620
Publikováno v:
J. Math. Phys. 56, 023506 (2015)
Constant curvature surfaces are constructed from the finite action solutions of the supersymmetric $\mathbb{C}P^{N-1}$ sigma model. It is shown that there is a unique holomorphic solution which leads to constant curvature surfaces: the generalized Ve
Externí odkaz:
http://arxiv.org/abs/1406.3371
Autor:
Ferreira, L. A., Zakrzewski, Wojtek J.
We report analytical and numerical results on breather-like field configurations in a theory which is a deformation of the integrable sine-Gordon model in (1+1) dimensions. The main motivation of our study is to test the ideas behind the recently pro
Externí odkaz:
http://arxiv.org/abs/1404.5812
Autor:
Ferreira, L. A., Zakrzewski, Wojtek J.
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 n
Externí odkaz:
http://arxiv.org/abs/1308.4412