Skip to main content
SpringerLink
Log in

Nucleation and evolution of magnetic inhomogeneities of the pulson and 2D soliton type in magnets with local anisotropy inhomogeneities

  • Theory of Metals
  • Published:
The Physics of Metals and Metallography Aims and scope Submit manuscript

Abstract

The dynamics of a 180° domain wall in a magnet with two-dimensional inhomogeneities of the parameters of magnetic anisotropy and the conditions of excitation of nonlinear magnetization waves have been investigated using numerical methods. Three types of localized magnetic inhomogeneities that appear in the region of anisotropy inhomogeneities have been revealed, namely, a pulson, a pulson transforming into a 2D soliton, and a 2D soliton. Regions of the values of the parameters that describe the magnetic-anisotropy inhomogeneities, which determine the existence of each of these inhomogeneities, have been found.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. S. V. Vonsovskii, Magnetism (Nauka, Moscow, 1971; Wiley, New York, 1974).

    Google Scholar 

  2. Dynamic and Kinetic Properties of Magnets, Ed. by S. V. Vonsovskii and E. A. Turov (Nauka, Moscow, 1986) [in Russian].

    Google Scholar 

  3. M. A. Shamsutdinov, I. Yu. Lomakina, V. N. Nazarov, A. T. Kharisov, and D. M. Shamsutdinov, Ferro- and Antiferromagnetodynamics. Nonlinear Oscillations, Waves and Solitons (Nauka, Moscow, 2009) [in Russian].

    Google Scholar 

  4. A. I. Mitsek and S. S. Semyannikov, “Effect of Antiphase Boundaries on the Magnetic Properties of Ferromagnets,” Fiz. Tverd. Tela 11, 1103–1113 (1969).

    CAS  Google Scholar 

  5. B. N. Filippov, A. P. Tankeev, Yu. G. Lebedev, and E. I. Raevskii, “Static and Dynamic Properties of Domain Walls in Thickness-Inhomogeneous Magnetic Bubble Domains,” Fiz. Met. Metalloved. 49, 518–531 (1980).

    Google Scholar 

  6. I. I. Kryukov, L. N. Mysovskaya, and K. S. Sakhaev, “Micromagnetism of a Uniaxial Magnet with a Platelike Precipitate upon an Arbitrary Orientation of an External Magnetic Field,” Fiz. Met. Metalloved., No. 10, 37–45 (1990).

  7. A. F. Kabychenkov and V. G. Shavrov, “Inhomogeneous State of a Uniaxial Ferromagnet Caused by a Spatial Inhomogeneity of Anisotropy, in the Vicinity of an Orientation Phase Transition,” Fiz. Tverd. Tela 29, 202–203 (1987).

    Google Scholar 

  8. M. A. Shamsutdinov and B. N. Fillipov, “Domain Wall Oscillations in a Magnetic Field in a Ferromagnet with Nonuniform Parameters,” Fiz. Met. Metalloved., No. 8, 87–96 (1991).

  9. M. A. Shamsutdinov, V. G. Veselago, M. M. Farztdinov, and E. G. Ekomasov, “Structure and Dynamic Characteristics of Domain Walls in Magnets with Inhomogeneities of Magnetic Anisotropy,” Fiz. Tverd. Tela 32, 497–502 (1990).

    Google Scholar 

  10. D. I. Paul, “Soliton Theory and the Dynamics of a Ferromagnetic Domain Wall,” J. Phys. C: Solid State Phys 12, 585–593 (1979).

    Article  CAS  Google Scholar 

  11. P. P. D’yachuk and E. V. Larikov, “Multilayer Ferromagnet Structures with Periodic Inhomogeneities of Anisotropy,” Fiz. Tverd. Tela 37, 3735–3737 (1995).

    Google Scholar 

  12. V. V. Plavskii, M. A. Shamsutdinov, E. G. Ekomasov, and A. G. Davletbaev, “Characteristic of the Domain Wall Localized at a Lamellar Inclusion, in a Magnetic Field,” Phys. Met. Metallogr. 75, 589–594 (1993).

    Google Scholar 

  13. S. C. Badescu, V. Badescu, N. Rezlescu, and R. Baduscu, “Modeling the Nonlinear Dynamics Domain Walls,” J. Magn. Magn. Mater. 193, 132–135 (1999).

    Article  CAS  Google Scholar 

  14. A. M. Balbashov, A. V. Zalesskii, V. G. Krivenko, and E. V. Sinitsyn, “Detection of Magnetic Inhomogeneities in a YFeO3 Single Crystal by the Nuclear Magnetic Resonance Method,” Pis’ma Zh. Tekh. Fiz. 14, 293–297 (1988).

    CAS  Google Scholar 

  15. M. V. Chetkin, A. P. Kuz’menko, A. V. Kaminskii, and V. N. Filatov, “Resonance Retardation of a Domain Wall in Orthoferrites by Winter Magnons,” Fiz. Tverd. Tela 40, 1656–1660 (1998).

    CAS  Google Scholar 

  16. R. M. Vakhitov and V. E. Kucherov, “Structure and Properties of Magnetic Inhomogeneities of the “Static Soliton” Type in (001) Plates with a Combined Anisotropy,” J. Appl. Phys 85, 310–313 (1999).

    Article  CAS  Google Scholar 

  17. E. G. Ekomasov, Sh. A. Azamatov, and R. R. Murtazin, “Studying the Nucleation and Evolution of Magnetic Inhomogeneities of the Soliton and Breather Type in Magnetic Materials with Local Inhomogeneities of Anisotropy,” Phys. Met. Metallogr. 105, 313–321 (2008).

    Article  Google Scholar 

  18. A. P. Kuz’menko, E. A. Zhukov, and Ts. Li, “Resonance Excitation of Magnetoelastic Oscillations in Orthoferrites by a Single Domain Wall,” Vestn. Tikhookean. Gos. Univ., No. 1, 9–24 (2005).

  19. M. V. Chetkin and Yu. N. Kurbatova, “Generation of Pairs of Antiferromagnetic Vortices and Their Dynamics at a Domain Wall in Yttrium Orthoferrite,” Phys. Solid State 43(8), 1563–1566 (2001).

    Article  CAS  Google Scholar 

  20. S. G. Osipov and V. V. Ternovskii, “Numerical Simulation of Three-Dimensional Periodic Self-Consistent Micromagnetic Structures,” Fiz. Met. Metalloved., No. 5, 181–184 (1990).

  21. A. B. Borisov, A. P. Tankeev, and A. G. Shagalov, “New Types of Two-Dimensional Vortex-Like States in Magnets,” Fiz. Tverd. Tela, 31(5), 140–147 (1989).

    Google Scholar 

  22. A. B. Borisov, S. A. Zykov, N. A. Mikushina, and A. S. Moskvin, “Vortices and Magnetic Structures of the Target Type in a Two-Dimensional Ferromagnet with Anisotropic Exchange,” Phys. Solid State 44, 324–332 (2002).

    Article  CAS  Google Scholar 

  23. V. G. Bar’yakhtar, M. V. Chetkin, B. A. Ivanov, and S. N. Gadetskii, Dynamics of Topological Magnetic Solitons (Springer, Berlin, 1994), Tracts in Modern Physics, Vol. 129.

    Book  Google Scholar 

  24. E. G. Ekomasov, Sh. A. Azamatov, and R. R. Murtazin, “Excitation of Nonlinear Solitary Flexural Waves in a Moving Domain Wall,” Phys. Met. Metallogr. 108, 532–537 (2009).

    Article  Google Scholar 

  25. O. M. Braun and Yu. S. Kivshar’, The Frenkel-Kontorova Model: Concepts, Methods, and Applications (Springer, Berlin, 2004; Fizmatlit, Moscow, 2008).

    Google Scholar 

  26. M. Dehghan and A. Shokri, “A Numerical Method for Solution of the Two-Dimensional Sine-Gordon Equation Using the Radial Basis Functions,” Mathem. Comp. Simul. 79, 700–715 (2008).

    Article  Google Scholar 

  27. A. G. Bratsos, “The Solution of Two-Dimensional Sine-Gordon Equation Using the Method of Lines,” J. Comp. Appl. Math. 206, 251–277 (2007).

    Article  Google Scholar 

  28. A. M. Kosevich and A. S. Kovalev, Introduction to Nonlinear Physical Mechanics (Naukova Dumka, Kiev, 1989) [in Russian].

    Google Scholar 

  29. N. S. Bakhvalov, N. P. Zhidkov, and G. M. Kobel’kov, Numerical Methods (Nauka, Moscow, 1987) [in Russian].

    Google Scholar 

  30. E. G. Ekomasov, R. R. Murtazin, and A. M. Gumerov, “(2 + 1)D Solution of Modified Sine-Gordon Equation,” Chronicles of United Foundation for Electronic Resources “Science and Education,” No. 5 (2010). http://ofernio.ru/portal/newspaper/ofernio/2010/5.doc.

  31. R. K. Dodd, J. C. Eilbeck, J. Gibbon, and H. C. Morris, Solitons and Nonlinear Wave Equations (Academic, London, 1982, 1984; Mir, Moscow, 1988).

    Google Scholar 

  32. I. L. Bogolyubskii and V. G. Makhan’kov, “Dynamics of Spherically Symmetric Pulsons of Large Amplitude,” Pis’ma Zh. Eksp. Teor. Fiz. 25(2), 120–123 (1977).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Bashkir State University, ul. Z. Validi 32, Ufa, 450074, Russia

    E. G. Ekomasov, R. R. Murtazin, Sh. A. Azamatov & A. E. Ekomasov

Authors
  1. E. G. Ekomasov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. R. Murtazin
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Sh. A. Azamatov
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. E. Ekomasov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © E.G. Ekomasov, R.R. Murtazin, Sh.A. Azamatov, A.E. Ekomasov, 2011, published in Fizika Metallov i Metallovedenie, 2011, Vol. 112, No. 3, pp. 227–238.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ekomasov, E.G., Murtazin, R.R., Azamatov, S.A. et al. Nucleation and evolution of magnetic inhomogeneities of the pulson and 2D soliton type in magnets with local anisotropy inhomogeneities. Phys. Metals Metallogr. 112, 213–223 (2011). https://doi.org/10.1134/S0031918X11030185

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0031918X11030185

Keywords

Search

Navigation