Hierarchy of equations of motion for nonlinear coherent excitations applied to magnetic vortices
| dc.creator | Mertens, F. G. | |
| dc.creator | Schnitzer, H. -J. | |
| dc.creator | Bishop, A. R. | |
| dc.date | 1999-02-10 | |
| dc.date.accessioned | 2026-07-07T03:12:47Z | |
| dc.date.available | 2026-07-07T03:12:47Z | |
| dc.description | Starting from a travelling wave ansatz we show successively that the shape of a nonlinear excitation generally depends also on the 1st, 2nd, ... time derivative of the position X of the excitation. From the Hamilton equations we derive a hierarchy of equations of motion for X. The type of the excitation determines on which levels the hierarchy can be truncated consistently: "Gyrotropic" excitations are governed by odd-order equations, non-gyrotropic ones by even-order equations. Examples for the latter case are kinks in 1-dimensional models and planar vortices of the 2D anisotropic (easy-plane) Heisenberg model. The non-planar vortices of this model are the simplest gyrotropic example. For this case we solve the Hamilton equations for a finite system with one vortex and free boundary conditions and calculate the parameters of the 3rd-order equation of motion. This equation yields trajectories which are a superposition of two cycloids with different frequencies, which is in full agreement with computer simulations of the full many-spin model. Finally we demonstrate that the additional effects from the 5th-order equation are negligible. | |
| dc.description | 22 pages, 7 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9902151 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9902151 | |
| dc.identifier | Phys. Rev. B 56, 5 (1997) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/29046 | |
| dc.subject | Condensed Matter | |
| dc.title | Hierarchy of equations of motion for nonlinear coherent excitations applied to magnetic vortices | |
| dc.type | text |