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Methods of nonlinear dynamics and equilibrium structures of magnetoelastic chains

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Abstract

To study equilibrium structures of magnetoelastic chains we have introduced an equivalent system and examined the whole class of its solutions. Appearance of various structures of the chain is due to the choice of an appropriate minimizing solution of the equivalent dynamic system. Commensurate and incommensurate structures, transitions from ferromagnetic to antiferromagnetic states, and transitions to the states with alternating clusters of ordered spins are obtained. Conditions for appearance of chaotic structures and amorphous magnetic states of the chain are discussed.

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References

  1. I. E. Dzyaloshinsky,Zh. Eksp. Teor. Fiz. 46:1420 (1964).

    Google Scholar 

  2. I. E. Dzyaloshinsky,Zh. Eksp. Teor. Fiz. 47:336 (1964).

    Google Scholar 

  3. I. E. Dzyaloshinsky,Zh. Eksp. Teor. Fiz. 47:992 (1964).

    Google Scholar 

  4. P. Bak,Rep. Progr. Phys. 45:587 (1982).

    Google Scholar 

  5. V. L. Pokrovsky and A. L. Talapov,Zh. Eksp. Teor. Fiz. 75:1151 (1978).

    Google Scholar 

  6. V. L. Pokrovsky and A. L. Talapov,Zh. Eksp. Teor. Fiz. 78:269 (1980).

    Google Scholar 

  7. L. A. Bolshov, M. S. Veschunov, and A. M. Dykhne,Zh. Eksp. Teor. Fiz. 80:1997 (1981).

    Google Scholar 

  8. S. Aubry, inSolitons and Condensed Matter Physics, A. R. Bishop and T. Schneider, eds. (Springer, Heidelberg, 1979), p. 264.

    Google Scholar 

  9. F. Axel and S. Aubry,J. Phys. C 14:5433 (1981).

    Google Scholar 

  10. V. L. Pokrovsky,J. Phys. (Paris) 42:761 (1981).

    Google Scholar 

  11. Ya. G. Sinai,Zh. Eksp. Teor. Fiz. 83:1223 (1982); Ya. G. Sinai,J. Stat. Phys. 29:401 (1982).

    Google Scholar 

  12. P. I. Belobrov, G. M. Zaslavsky, and A. G. Tret'yakov, Preprint IF-197F, Krasnoyarsk (1982).

  13. P. I. Belobrov, G. M. Zaslavsky, and A. G. Tret'yakov,Phys. Lett. 97A:409 (1983).

    Google Scholar 

  14. G. M. Zaslavsky and B. V. Chirikov,Usp. Fiz. Nauk 105:3 (1971).

    Google Scholar 

  15. P. Bak,Phys. Rev. Lett. 46:761 (1981).

    Google Scholar 

  16. G. M. Zaslavsky,Statistical Irreversibility in Nonlinear Systems (Nauka, Moscow, 1970).

    Google Scholar 

  17. B. V. Chirikov,Phys. Rep. 52:263 (1979).

    Google Scholar 

  18. S. Aubry, P. Y. Le Daeron, and G. Andre, Preprint CNRS (1982);Physica D 8:381 (1983).

  19. R. S. MacKay, J. D. Meiss, and I. C. Percival, Queen Mary College Preprint (1983);Physica D 7:283 (1983).

    Google Scholar 

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Authors and Affiliations

  1. L. V. Kirensky Institute of Physics, USSR Academy of Sciences Siberian Branch, 660036, Krasnoyarsk, USSR

    P. I. Belobrov, A. G. Tret'yakov & G. M. Zaslavsky

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  1. P. I. Belobrov
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  2. A. G. Tret'yakov
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  3. G. M. Zaslavsky
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Belobrov, P.I., Tret'yakov, A.G. & Zaslavsky, G.M. Methods of nonlinear dynamics and equilibrium structures of magnetoelastic chains. J Stat Phys 38, 393–404 (1985). https://doi.org/10.1007/BF01017869

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  • DOI: https://doi.org/10.1007/BF01017869

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