On the structure of a moving domain wall subjected to an inplane magnetic field

On the Route to Chaos for Domain Walls with a Model of Stray Field

“…The formula of Hagedorn was also tested in [8] with good results against experimental data on the apparent width of the dynamic diffuse wall observed in [9] -but again the route to chaos was not studied then. On the other hand, the values of the peak velocity of the wall in the presence of the in-plane field, obtained numerically with the formula of Hubert, agree quite well [6] with the experimental data found in the rocking method experiment [10]. To conclude, it would seem interesting to investigate again domain wall dynamics in bubble garnet materials in the range of drive fields around the transition to dynamic Bloch line stacking -this time within the context of the concept of deterministic chaos -this could shed new light on the transition discussed here.…”

Simple Quantitative Analysis of Spatio-Temporal Diagrams for Domain Wall Dynamics

“…Initial conditions of the form q(x, 0) = 0, 0(x, 0) = O and periodic boundary conditions were assumed. Equations (1, 2) were solved numerically using the full implicit scheme for the segment of the wall of the length L = 5πΛ (where A = \/A/2πM 2 is the Bloch line width parameter) divided into N = 52 numerical points with the time step of the integration procedure AT = 0.1 ns [15]. The material parameters were: M = 11.14 Gs, A = 0.81 x 10 -7 erg/cm, y = 1.75 x 10 7 1/Oe/s, Λ = 2.9 x 10-6 cm, Λ = 1.019 x 10 -5 cm.…”

Chaotic Dynamics of Domain Walls in Magnetic Garnet Films with In-Plane Fields

“…(1) and (2) Equations of motion (1) and (2) were solved by means of a full implicit numerical scheme, which is described in Ref. [9]. Force-free boundary conditions were applied [10].…”

“…During the motion of the wall, some coherent spatial structures, the so-called horizontal Bloch lines, appear [10]. It was found that in the case of the small drives the motion of the horizontal Bloch lines with the angular span equal π is regular and periodic, while an increase of the drive field and the in-plane field make the structure of the wall more complicated [9]. In particular the angular span of horizontal Bloch lines increases with an increase in the values of in-plane fields and their motion is highly irregular in time.…”

“…The so-called diffuse domain walls observed experimentally in bubble garnet materials by Vural and Humphrey [7] and analyzed numerically by Kosiński [8] can be regarded as a proof of the existence of chaotic motion of domain walls in such materials. On the other hand, external in-plane fields play an important role in various computer memory applications of domain walls and strongly influence their dynamics [9]. It is interesting therefore to investigate the influence of the external in-plane fields on the chaotic dynamics and route to chaos with the drive field treated as a control parameter.…”