scholarly journals Existence of travelling-wave solutions representing domain wall motion in a thin ferromagnetic nanowire

2017 ◽  
Vol 148 (2) ◽  
pp. 395-407
Author(s):  
Ross G. Lund ◽  
J. M. Robbins ◽  
Valeriy Slastikov
Keyword(s):  
Domain Wall ◽  
Wall Motion ◽  
Domain Wall Motion ◽  
Travelling Wave ◽  
Travelling Wave Solutions ◽  
Implicit Function ◽  
One Dimensional ◽  
Wave Solutions ◽  
Static Solutions ◽  
Ferromagnetic Nanowire

We study the dynamics of a domain wall under the influence of applied magnetic fields in a one-dimensional ferromagnetic nanowire, governed by the Landau–Lifshitz–Gilbert equation. Existence of travelling-wave solutions close to two known static solutions is proven using implicit-function-theorem-type arguments.

CONFIGURATION AND POLARIZATION DEPENDENT TRANSVERSE DOMAIN WALL MOTION AND DOMAIN WALL SWITCHING IN FERROMAGNETIC NANOWIRE

SPIN ◽  
2013 ◽  
Vol 03 (01) ◽  
pp. 1350001 ◽  
Author(s):  
S. BARMAN ◽  
A. GANGULY ◽  
A. BARMAN
Keyword(s):  
Domain Wall ◽  
Spin Relaxation ◽  
Wall Motion ◽  
Translational Motion ◽  
Domain Wall Motion ◽  
Pulsed Current ◽  
Dominant Mechanism ◽  
Out Of Plane ◽  
Ferromagnetic Nanowire ◽  
Periodic Switching

We report that the current induced translational motion of transverse domain wall and domain wall switching in ferromagnetic nanowire is primarily governed by the configuration and polarization of the domain wall. The out-of-plane torque due to nonadiabacity and spin relaxation is found to be the dominant mechanism in the configuration and polarization dependent translational motion of the domain wall. The transverse domain wall undergoes a damped periodic back and forth translational motion along with a periodic switching from +ve polarization to -ve polarization and vice versa under the application of a pulsed current. The domain wall switching occurs at the start of each period of translation.

One- and two-dimensional travelling wave solutions in gas-fluidized beds

1996 ◽  
Vol 306 ◽  
pp. 183-221 ◽  
Author(s):  
B. J. Glasser ◽  
I. G. Kevrekidis ◽  
S. Sundaresan
Keyword(s):  
Fluidized Beds ◽  
Equations Of Motion ◽  
High Amplitude ◽  
Travelling Wave ◽  
Numerical Continuation ◽  
Model Parameters ◽  
Travelling Wave Solutions ◽  
Two Dimensional ◽  
One Dimensional ◽  
Wave Solutions

Making use of numerical continuation techniques as well as bifurcation theory, both one- and two-dimensional travelling wave solutions of the ensemble-averaged equations of motion for gas and particles in fluidized beds have been computed. One-dimensional travelling wave solutions having only vertical structure emerge through a Hopf bifurcation of the uniform state and two-dimensional travelling wave solutions are born out of these one-dimensional waves. Fully developed two-dimensional solutions of high amplitude are reminiscent of bubbles. It is found that the qualitative features of the bifurcation diagram are not affected by changes in model parameters or the closures. An examination of the stability of one-dimensional travelling wave solutions to two-dimensional perturbations suggests that two-dimensional solutions emerge through a mechanism which is similar to the overturning instability analysed by Batchelor & Nitsche (1991).

Analysis of One-Dimensional Domain Wall Motion under a Biased In-Plane Field

1978 ◽  
Vol 17 (11) ◽  
pp. 1997-2006 ◽  
Author(s):  
Toshitaka Fujii ◽  
Takashi Shinoda ◽  
Shigeru Shiomi ◽  
Susumu Uchiyama
Keyword(s):  
Domain Wall ◽  
Wall Motion ◽  
Domain Wall Motion ◽  
One Dimensional ◽  
Plane Field ◽  
Dimensional Domain

Spontaneous Domain Wall Motion at Zero External Magnetic Field in Ferromagnetic Nanowire

2010 ◽  
Vol 46 (2) ◽  
pp. 217-219 ◽  
Author(s):  
Dede Djuhana ◽  
Hong-Guang Piao ◽  
Je-Ho Shim ◽  
Sang-Hyuk Lee ◽  
Su-Hyeong Jun ◽  
...  
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Domain Wall ◽  
Wall Motion ◽  
Domain Wall Motion ◽  
Ferromagnetic Nanowire
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