Skip to main content
Log in

Numerical simulation of the generation of magnetic inhomogeneities in ferromagnets with inhomogeneous parameters

  • Magnetism
  • Published:
Physics of the Solid State Aims and scope Submit manuscript

Abstract

The generation and evolution of magnetic inhomogeneities of the stationary breather type, which appear in a flat layer with the magnetic anisotropy and exchange interaction parameters that are different from those in the bulk of an infinite ferromagnet after transmission through a 180° domain wall, have been investigated theoretically. The dependences of the amplitude and frequency of vibrations on the parameters of the defect have been constructed for the revealed magnetic inhomogeneities, and the ranges of the parameters determining the possibility of their existence have been found.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

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

    Google Scholar 

  2. V. S. L’vov, Nonlinear Spin Waves (Nauka, Moscow, 1987) [in Russian].

    Google Scholar 

  3. J. M. Winter, Phys. Rev. 124, 452 (1961).

    Article  ADS  MATH  Google Scholar 

  4. A. Hubert and R. Schafer, Magnetic Domains (Springer, Heidelberg, 1998).

    Google Scholar 

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

    Google Scholar 

  6. A. I. Mitsek and S. S. Semyannikov, Sov. Phys. Solid State 11(5), 899 (1969).

    Google Scholar 

  7. V. G. Bar’yakhtar and Yu. I. Gorobets, Cylindrical Magnetic Domains and Their Lattices (Naukova Dumka, Kiev, 1988) [in Russian].

    Google Scholar 

  8. D. I. Paul, J. Phys. C: Solid State Phys. 12, 585 (1979).

    Article  ADS  Google Scholar 

  9. A. F. Kabychenkov and V. G. Shavrov, Sov. Phys. Solid State 29(1), 111 (1987).

    Google Scholar 

  10. M. A. Shamsutdinov, V. G. Veselago, M. M. Farztdinov, and E. G. Ekomasov, Sov. Phys. Solid State 32(2), 288 (1990).

    Google Scholar 

  11. I. I. Kryukov, L. N. Mysovskaya, and K. S. Sakhaev, Fiz. Met. Metalloved. 10, 37 (1990).

    Google Scholar 

  12. V. V. Plavskii, M. A. Shamsutdinov, E. G. Ekomasov, and A. G. Davletbaev, Phys. Met. Metallogr. 75, 589 (1993).

    Google Scholar 

  13. P. P. D’yachuk and E. V. Larikov, Phys. Solid State 37(12), 2059 (1995).

    ADS  Google Scholar 

  14. D. I. Paul, Phys. Rev. Lett. 53, 1649 (1982).

    Google Scholar 

  15. S. C. Badescu, V. Badescu, N. Rezlescu, and R. Baduscu, J. Magn. Magn. Mater. 193, 132 (1999).

    Article  ADS  Google Scholar 

  16. A. N. Grigorenko, S. A. Mishin, and E. G. Rudashevskii, Sov. Phys. Solid State 30(10), 1699 (1988).

    Google Scholar 

  17. V. V. Makhro, Sov. Phys. Solid State 29(8), 1415 (1987).

    Google Scholar 

  18. A. I. Morosov and A. S. Sigov, Phys. Solid State 46(3), 395 (2004).

    Article  ADS  Google Scholar 

  19. V. V. Kruglyak, A. N. Kuchko, and V. I. Finokhin, Phys. Solid State 46(5), 867 (2004).

    Article  ADS  Google Scholar 

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

    MATH  Google Scholar 

  21. T. I. Belova and A. E. Kudryavtsev, Phys.-Usp. 40(4), 359 (1997).

    Article  ADS  Google Scholar 

  22. L. V. Yakushevich and L. A. Krasnobai, Biophysics 52(2), 179 (2007).

    Article  Google Scholar 

  23. R. N. Garifullin, L. A. Kalyakin, and M. A. Shamsutdinov, Zh. Vychisl. Mat. Mat. Fiz. 47, 1208 (2007).

    MathSciNet  Google Scholar 

  24. E. G. Ekomasov, Sh. A. Azamatov, and R. R. Murtazin, Phys. Met. Metallogr. 105(4), 313 (2008).

    Article  ADS  Google Scholar 

  25. R. M. Vakhitov, E. R. Gareeva, M. M. Vakhitova, and A. R. Yumaguzin, Phys. Solid State 51(9), 1859 (2009).

    Article  ADS  Google Scholar 

  26. E. G. Ekomasov, Sh. A. Azamatov, R. R. Murtazin, A. M. Gumerov, and A. D. Davletshina, Bull. Russ. Acad. Sci.: Phys. 74(10), 1459 (2010).

    Article  MATH  Google Scholar 

  27. A. Chacon, A. Bellorin, L. E. Guerrero, and G. A. Gonzalez, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 77, 046212 (2008).

    Article  ADS  Google Scholar 

  28. M. B. Fogel, S. E. Trullinger, A. R. Bishop, and J. A. Krumhandl, Phys. Rev. B: Solid State 15, 1578 (1976).

    Article  ADS  Google Scholar 

  29. E. M. Maslov, Phys. Lett. A 151, 364 (1988).

    Article  ADS  Google Scholar 

  30. I. Habibullin and A. Kundu, Nucl. Phys. B 795, 549 (2008).

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    MATH  Google Scholar 

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

    MATH  Google Scholar 

  33. V. F. Kovalenko and E. L. Nagaev, Sov. Phys.-Usp. 29(4), 297 (1986).

    Article  ADS  Google Scholar 

  34. E. G. Ekomasov and M. A. Shabalin, Phys. Met. Metallogr. 101(Suppl. 1), 48 (2006).

    Article  ADS  Google Scholar 

  35. A. M. Balbashov, A. V. Zalesskii, V. G. Krivenko, and E. V. Sinitsyn, Sov. Tech. Phys. Lett. 14(2), 129 (1988).

    Google Scholar 

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

    MATH  Google Scholar 

  37. V. V. Kiselev and A. A. Raskovalov, Theor. Math. Phys. 163(1), 479 (2010).

    Article  MATH  Google Scholar 

  38. V. G. Bar’yakhtar, B. A. Ivanov, and M. V. Chetkin, Sov. Phys.-Usp. 28(7), 563 (1985).

    Article  ADS  Google Scholar 

  39. V. N. Nazarov, R. R. Shafiev, M. A. Shamsutdinov, and I. Yu. Lomakina, Phys. Solid State 54(2), 298 (2012).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to E. G. Ekomasov.

Additional information

Original Russian Text © E.G. Ekomasov, R.R. Murtazin, Sh.A. Azamatov, 2012, published in Fizika Tverdogo Tela, 2012, Vol. 54, No. 8, pp. 1487–1492.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ekomasov, E.G., Murtazin, R.R. & Azamatov, S.A. Numerical simulation of the generation of magnetic inhomogeneities in ferromagnets with inhomogeneous parameters. Phys. Solid State 54, 1584–1590 (2012). https://doi.org/10.1134/S1063783412080112

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063783412080112

Keywords

Navigation