scholarly journals Steady one-dimensional domain wall motion in biaxial ferromagnets: Mapping of the Landau-Lifshitz equation to the sine-Gordon equation

2020 ◽  
Vol 101 (9) ◽  
Author(s):  
R. Rama-Eiroa ◽  
R. M. Otxoa ◽  
P. E. Roy ◽  
K. Y. Guslienko
Keyword(s):  
Domain Wall ◽  
Wall Motion ◽  
Gordon Equation ◽  
Domain Wall Motion ◽  
Sine Gordon Equation ◽  
One Dimensional ◽  
Lifshitz Equation ◽  
Dimensional Domain

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

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.

Effect of in-plane field on wall motion in one-dimensional domain wall

1977 ◽  
Vol 13 (5) ◽  
pp. 1169-1171 ◽  
Author(s):  
A. Emura ◽  
T. Fujii ◽  
S. Shiomi ◽  
S. Uchiyama
Keyword(s):  
Domain Wall ◽  
Wall Motion ◽  
One Dimensional ◽  
Plane Field ◽  
Dimensional Domain

scholarly journals Domain wall motion in magnetic nanowires: an asymptotic approach

2013 ◽  
Vol 469 (2160) ◽  
pp. 20130308 ◽  
Author(s):  
Arseni Goussev ◽  
Ross G. Lund ◽  
J. M. Robbins ◽  
Valeriy Slastikov ◽  
Charles Sonnenberg
Keyword(s):  
Domain Wall ◽  
Wall Motion ◽  
Ad Hoc ◽  
Travelling Waves ◽  
Perturbation Expansion ◽  
Domain Wall Motion ◽  
Magnetic Nanowires ◽  
Magnetization Dynamics ◽  
Oscillatory Solutions ◽  
One Dimensional

We develop a systematic asymptotic description for domain wall motion in one-dimensional magnetic nanowires under the influence of small applied magnetic fields and currents and small material anisotropy. The magnetization dynamics, as governed by the Landau–Lifshitz–Gilbert equation, is investigated via a perturbation expansion. We compute leading-order behaviour, propagation velocities and first-order corrections of both travelling waves and oscillatory solutions, and find bifurcations between these two types of solutions. This treatment provides a sound mathematical foundation for numerous results in the literature obtained through more ad hoc arguments.

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