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Kink model of state switching in quasi-one-dimensional nanosystems

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Abstract

A method for the analytical calculation of the kinetics of state switching induced by external field in quasi-one-dimensional systems has been developed. This method is based on the Kolmogorov approach, which was proposed to describe statistical crystallization. As applied to magnetic systems, it allows one to calculate magnetization curves and hysteresis loops. The results of analytical calculation are confirmed by stochastic Monte Carlo simulation, which also makes it possible to find characteristics of mixed domain states formed as a result of the multiple cycling of the external field amplitude.

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References

  1. One-Dimensional Nanostructures, Ed. by Z. M. Wang (New York, Springer Science + Business Media, 2008).

    Google Scholar 

  2. Molecular Magnets. Physics and Applications, Ed. by J. Bartolome et al. (Berlin, Springer, 2014).

    Google Scholar 

  3. V. V. Lukov, V. A. Kogan, I. N. Shcherbakov, et al., Vestn. Yuzhn. Nauch. Tsentra Ross. Akad. Nauk, 7, 3 (2011).

    Google Scholar 

  4. H.-B. Braun, Phys. Rev. Lett. 71, 3557 (1993).

    Article  ADS  Google Scholar 

  5. R. J. Glauber, J. Math. Phys. 4, 294 (1963).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  6. C. Coulon, R. Clérac, L. Lecren, et al., Phys. Rev. B 69, 132408 (2004).

    Article  ADS  Google Scholar 

  7. A. A. Bukharov, A. S. Ovchinnikov, N. V. Baranov, and K. Inoue, Eur. Phys. J. B 70, 369 (2009).

    Article  ADS  Google Scholar 

  8. Yu. B. Kudasov, Zh. Eksp. Teor. Fiz. 137, 406 (2010).

    Google Scholar 

  9. A. H. Kolmogorov, Izv. Akad. Nauk SSSR, Otd. Mat. 3, 355 (1937).

    Google Scholar 

  10. J. P. Hirth and J. Lothe, Theory of Dislocations (Malabar, Krieger, 1982).

    Google Scholar 

  11. J. S. Langer, Ann. Phys. 54, 253 (1969).

    Article  ADS  Google Scholar 

  12. B. V. Petukhov and V. L. Pokrovskii, JETP 36, 336 (1973).

    ADS  Google Scholar 

  13. M. Büttiker and R. Landauer, Phys. Rev. A 23, 1397 (1981).

    Article  ADS  MathSciNet  Google Scholar 

  14. B. Ivlev and V. Melnikov, Phys. Rev. B 36, 6889 (1987).

    Article  ADS  Google Scholar 

  15. V. Z. Belen’kii, Geometric Probabilistic Models of Crystallization: Phenomenological Approach (Nauka, Moscow, 1980) [in Russian].

    Google Scholar 

  16. D. Gatteschi, R. Sessoli, and J. Villain, Molecular Nanomagnets (Oxford Univ. Press, 2006).

    Book  Google Scholar 

  17. B. V. Petukhov, JETP 114, 988 (2012).

    Article  ADS  Google Scholar 

  18. B. Petukhov, J. State Mech. 09019 (2013).

    Google Scholar 

  19. B. K. Chakrabarti and M. Acharyya, Rev. Mod. Phys. 71, 847 (1999).

    Article  ADS  Google Scholar 

  20. S. W. Sides, P. A. Rikvold, and M. A. Novotny, Phys. Rev. E 59, 2710 (1999).

    Article  ADS  Google Scholar 

Download references

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Correspondence to B. V. Petukhov.

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Original Russian Text © B.V. Petukhov, 2015, published in Kristallografiya, 2015, Vol. 60, No. 2, pp. 278–282.

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Petukhov, B.V. Kink model of state switching in quasi-one-dimensional nanosystems. Crystallogr. Rep. 60, 252–256 (2015). https://doi.org/10.1134/S1063774515020200

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  • DOI: https://doi.org/10.1134/S1063774515020200

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