Dynamics of the Nucleus of Magnetization Reversal in a Ferro- and Antiferromagnet

Шамсутдинов, М. А.; Назаров, В. Н.; Lomakina, I. Yu.

doi:10.1109/intmag.2006.375915

Cited by 12 publications

(26 citation statements)

References 1 publication

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“…Nonlinear differential equations having a solution in the form of nonlinear localized waves (solitons) are often used in the models describing waves and oscillations in nonlinear media. For example, the sine-Gordon equation (SGE) is used for describing the dynamics of DNA in molecular biology, dynamics of domain walls in magnetics, dislocation in crystals and flux quanta in Josephson contacts and junctions (e. g., [1][2][3][4]). Researchers usually have to enter additional terms or account for the influence of perturbations in SGE for a more complete description of these processes.…”

Section: Introductionmentioning

confidence: 99%

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Changing the Dynamic Parameters of Localized Breather and Soliton Waves in the Sine-Gordon Model with Extended Impurity, External Force, and Decay in the Autoresonance Mode

Екомасов¹,

Назаров²,

Samsonov³

2022

Nelin. Dinam.

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Possibility of changing the dynamic parameters of localized breather and soliton waves for the sine-Gordon equation in the model with extended impurity, variable external force and dissipation was investigated using the autoresonance method. The model of ferromagnetic structure consisting of two wide identical layers separated by a thin layer with modified values of magnetic anisotropy parameter was taken as a basis. Frequency of external field is a linear function of time. The sine-Gordon equation (SGE) was solved numerically using the finite differences method with explicit scheme of integration. For certain values of the extended impurity parameters a magnetic inhomogeneity in the form of magnetic breather is formed when domain wall passes through it with constant velocity. The numerical simulation showed that using special variable force and small amplitude it is possible to resonantly increase the amplitude of breather. For each case of the impurity parameters values, there is a threshold value of the magnetic field amplitude leading to resonance. Geometric parameters of thin layer also have influence on the resonance effect — for decreasing layer width the breather amplitude grows more slowly. For large layer width the translation mode of breather oscillations is also excited. For certain parameters of extended impurity, a soliton can form. For a special type of variable field with frequency linearly dependent on time, soliton is switched to antisoliton and vice versa.

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Section: Introductionmentioning

confidence: 99%

“…However, the (1+1)-dimensional models are the most studied. For some applications, it is necessary to account for dissipation and external force in the system (e. g., [1][2][3][10][11][12][13][14]). Parameters of SGE are also often set as functions of coordinates and time [15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Changing the Dynamic Parameters of Localized Breather and Soliton Waves in the Sine-Gordon Model with Extended Impurity, External Force, and Decay in the Autoresonance Mode

Екомасов¹,

Назаров²,

Samsonov³

2022

Nelin. Dinam.

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“…Lately, there have been many studies devoted to the use of magnetic inhomogeneities (magnetic vortices and skyrmions) in spintronic devices [1,2]. Solitontype magnetic inhomogeneities, which have many similar dynamic properties, may serve as an alternative [3]. The development of new experimental techniques that make it possible to analyze the processes of formation and propagation of nanoscale localized magnetization waves and their interaction with domain walls (DWs) [4][5][6] also stimulated an increase in applied interest in this field [7].…”

mentioning

confidence: 99%

The Possibility of Controlling the Dynamics and Structure of a Magnetic Soliton in a Three-Layer Ferromagnetic Structure

et al. 2021

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Generation and excitation of a magnetic soliton in a three-layer ferromagnet using dc magnetic fields and weak ac fields in the presence of dissipation in the system have been considered. An analysis of the solutions to the equation of motion in an ac field shows the possibility of increasing the magnetic-soliton amplitude with time under certain conditions. The resonance effect is also affected by the geometric parameters of the thin layer: the translational mode of soliton oscillations is excited at a large layer width.

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“…It has a lot of applications in different fields of physics including hydrodynamics, condensed matter physics, field theory, etc. [1][2][3][4]. Impurities are normally thought to be stationary when considering equations with different inhomogeneities and impurities.…”

mentioning

confidence: 99%

Professor Victor P. Odintsov is the Founder and the First Director of Ufa Eye Research Institute Bashkir State University

Galimova

2019

Oftalʹmologiâ

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A new model of oscillators was suggested, in which an oscillating particle in the minimum energy state has a nonzero velocity. A system consisting of a point material particle and a scalar field described by the nonlinear Klein-Gordon equation has been considered. It has been shown that, when taking into account relativistic effects, in the case of small rest masses of a particle an energy minimum at zero velocity is impossible for such a particle. It is showed that the behavior of a field in such a system is not stationary and is characterized by the presence of waves emitted and absorbed by the system in the minimum energy state. The system properties having being analyzed, a concept of the localized vacuum was suggested; it was showed that the localized vacuum hypothesis is useful in solving the cosmological constant problem.

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Dynamics of the Nucleus of Magnetization Reversal in a Ferro- and Antiferromagnet

Cited by 12 publications

References 1 publication

Changing the Dynamic Parameters of Localized Breather and Soliton Waves in the Sine-Gordon Model with Extended Impurity, External Force, and Decay in the Autoresonance Mode

Changing the Dynamic Parameters of Localized Breather and Soliton Waves in the Sine-Gordon Model with Extended Impurity, External Force, and Decay in the Autoresonance Mode

The Possibility of Controlling the Dynamics and Structure of a Magnetic Soliton in a Three-Layer Ferromagnetic Structure

Professor Victor P. Odintsov is the Founder and the First Director of Ufa Eye Research Institute Bashkir State University

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