Skip to main content
Log in

The energy and Peierls barrier of a Frenkel-Kontorova dislocation (kink)

  • Defects, Dislocations, and Physics of Strength
  • Published:
Physics of the Solid State Aims and scope Submit manuscript

Abstract

The energy of the potential relief and of the Peierls barrier for a topological excitation (kink) in the Frenkel-Kontorova model is calculated in the continual limit to the second order of perturbation theory. A new method is proposed for analysis of the problem in a strongly discrete limit. Analytical results are compared with the results of numerical calculations.

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. P. Rosenau, Phys. Lett. A 118(5), 222 (1986).

    Article  ADS  MathSciNet  Google Scholar 

  2. S. Flach and K. Kladko, Phys. Rev. E 54(3), 2912 (1996).

    Article  ADS  Google Scholar 

  3. S. Flach and C. R. Willis, Phys. Rev. E 47(6), 4447 (1993).

    Article  ADS  Google Scholar 

  4. Y. Ishimory and T. Munakata, J. Phys. Soc. Jpn. 51(10), 31367 (1982).

  5. M. Peyrard and M. D. Kruskal, Physica D (Amsterdam) 14(1), 88 (1984).

    ADS  MathSciNet  Google Scholar 

  6. T. Munakata, Phys. Rev. A 45(2), 1230 (1992).

    Article  ADS  Google Scholar 

  7. J. M. Speight and R. S. Ward, Nonlinearity 7(2), 475 (1994).

    Article  ADS  MathSciNet  Google Scholar 

  8. R. Boesch, C. R. Willis, and M. El-Batanouny, Phys. Rev. B 40(4), 2284 (1989).

    Article  ADS  Google Scholar 

  9. E. Majernikova and G. Drobny, Phys. Rev. E 47(5), 3677 (1993).

    ADS  Google Scholar 

  10. Ya. I. Frenkel’ and T. A. Kontorova, Zh. Éksp. Teor. Fiz. 8(12), 1340 (1938).

    Google Scholar 

  11. I. R. Sagdeev and V. M. Vinokur, J. Phys. (Paris) 48(9), 1395 (1987).

    Google Scholar 

  12. N. Flytzanis, S. Crowley, and V. Celli, Phys. Rev. Lett. 39(14), 891 (1977).

    Article  ADS  Google Scholar 

  13. A. M. Kosevich and A.S. Kovalev, Theory of Dynamic Crowdions. Radiation and Others Effects in Solids (Tbilisi, 1973); in Proceedings of the School on Radiation and Others Defects in Solids, Tbilisi, 1974, Vol. 1, p. 186.

  14. M. J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform (SIAM, Philadelphia, 1981; Mir, Moscow, 1987).

    Google Scholar 

  15. V. L. Indenbom, Kristallografiya 3(2), 197 (1958) [Sov. Phys. Crystallogr. 3, 193 (1959)].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Fizika Tverdogo Tela, Vol. 43, No. 7, 2001, pp. 1202–1206.

Original Russian Text Copyright © 2001 by Usatenko, Gorbach, Kovalev.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Usatenko, O.V., Gorbach, A.V. & Kovalev, A.S. The energy and Peierls barrier of a Frenkel-Kontorova dislocation (kink). Phys. Solid State 43, 1247–1251 (2001). https://doi.org/10.1134/1.1386458

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1386458

Keywords

Navigation