Advertisement

On the statistical mechanics of elastic manifolds with random interaction

  • K. V. Samokhin
Condensed Matter

Abstract

We study the statistical mechanics of D-dimensional elastic manifolds, interacting via randomly distributed forces. It is shown, that this model can be mapped onto the statistical mechanics of disorder-induced roughening of a D-dimensional interface with D transverse degrees of freedom in a disordered medium. The roughness exponent ζ for the lateral deformations is calculated for different kinds of elastic response of the manifolds.

PACS numbers

05.90.+m 46.30.Pa 68.90.+g 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    G. Blatter et al., Rev. Mod. Phys. 66, 1125 (1994).CrossRefADSGoogle Scholar
  2. 2.
    T. Nattermann and P. Rujan, Int. J. Mod. Phys. B 3, 1597 (1989).ADSGoogle Scholar
  3. 3.
    H. Leschhorn et al., preprint cond-mat/9603114, to be published in Annalen der Physik (1996).Google Scholar
  4. 4.
    D. Cule and T. Hwa, Phys. Rev. Lett. 77, 278 (1996).CrossRefADSGoogle Scholar
  5. 5.
    A. Volmer and T. Nattermann, to be published in Europhys. Lett. (1996).Google Scholar
  6. 6.
    K. V. Samokhin, JETP Lett. 64, 580 (1996).ADSGoogle Scholar
  7. 7.
    C. Carraro and D. R. Nelson, preprint cond-mat/9607184.Google Scholar
  8. 8.
    L. D. Landau and E. M. Lifshitz, Theory of Elasticity, Pergamon Press, New York, 1975.Google Scholar
  9. 9.
    A. I. Larkin, Zh. Éksp. Teor. Fiz. 58, 1466 (1970) [Sov. Phys. JETP 31, 784 (1970)].Google Scholar
  10. 10.
    S. F. Edwards and P. W. Anderson, J. Phys. F 5, 965 (1975).ADSGoogle Scholar
  11. 11.
    T. Halpin-Healy, Phys. Rev. A 42, 711 (1990).CrossRefADSGoogle Scholar
  12. 12.
    D. S. Fisher, Phys. Rev. Lett. 56, 1964 (1986).ADSGoogle Scholar
  13. 13.
    L. Balents and D. S. Fisher, Phys. Rev. B 48, 5949 (1993).CrossRefADSGoogle Scholar
  14. 14.
    Y. Imry and S.-K. Ma, Phys. Rev. Lett. 35, 1399 (1976).ADSGoogle Scholar
  15. 15.
    M. V. Feigel’man et al., Phys. Rev. Lett. 63, 2303 (1989).ADSGoogle Scholar
  16. 16.
    M. Kardar and Y.-C. Zhang, Phys. Rev. Lett. 58, 2087 (1987).ADSGoogle Scholar
  17. 17.
    T. Nattermann and H. Leschhorn, Europhys. Lett. 14, 603 (1991).ADSGoogle Scholar

Copyright information

© MAIK "Nauka/Interperiodica" 1996

Authors and Affiliations

  • K. V. Samokhin
    • 1
    • 2
  1. 1.Institut für Theoretische PhysikUniversität zu KölnKölnGermany
  2. 2.L. D. Landau Institute of Theoretical PhysicsMoscowRussia

Personalised recommendations