Skip to main content
SpringerLink
Log in

On the theory of the galvanomagnetic properties of composite materials: Lattice model

  • Order, Disorder, and Phase Transition in Condensed System
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

The problem of the galvanomagnetic properties of composite materials is formulated for a lattice model. The effective galvanomagnetic characteristics of a weakly heterogeneous lattice are determined in the quadratic approximation in the deviation of local conductivity tensor \(\hat \sigma \) (r) from average value <\(\hat \sigma \)>. In the case of a low concentration (c ≪ 1) of “defect” bonds, effective conductivity tensor \(\hat \sigma \) e of a binary lattice model is calculated in the c-linear approximation. Effective medium method equations are derived for the formulated lattice problem, and the results are compared with the results obtained in a continuous medium model.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. I. M. Lifshitz, M. Ya. Azbel’, and M. I. Kaganov, Electron Theory of Metals (Nauka, Moscow 1971; Consultants Bureau, New York, 1973).

    Google Scholar 

  2. C. Herring, J. Appl. Phys. 31, 1939 (1960).

    Article  ADS  MATH  Google Scholar 

  3. Yu. A. Dreizin and A. M. Dykhne, Sov. Phys. JETP 36, 127 (1973).

    ADS  Google Scholar 

  4. B. Ya. Balagurov, J. Exp. Theor. Phys. 118, 311 (2014).

    Article  ADS  Google Scholar 

  5. H. Stachowiak, Physica 45, 481 (1970).

    Article  ADS  Google Scholar 

  6. B. I. Shklovskii, Sov. Phys. JETP 45, 152 (1977).

    ADS  Google Scholar 

  7. D. J. Bergman and D. Stroud, Phys. Rev. B: Condens. Matter 32, 6097 (1985).

    Article  ADS  Google Scholar 

  8. B. Ya. Balagurov, Sov. Phys. JETP 66, 1079 (1987).

    Google Scholar 

  9. B. Ya. Balagurov, J. Exp. Theor. Phys. 119, 714 (2014).

    Article  ADS  Google Scholar 

  10. B. Ya. Balagurov and V. A. Kashin, J. Exp. Theor. Phys. 83, 553 (1996).

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Emanuel Institute of Biochemical Physics, Russian Academy of Sciences, ul. Kosygina 4, Moscow, 119334, Russia

    B. Ya. Balagurov

Authors
  1. B. Ya. Balagurov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to B. Ya. Balagurov.

Additional information

Original Russian Text © B.Ya. Balagurov, 2015, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2015, Vol. 148, No. 1, pp. 140–149.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Balagurov, B.Y. On the theory of the galvanomagnetic properties of composite materials: Lattice model. J. Exp. Theor. Phys. 121, 122–130 (2015). https://doi.org/10.1134/S1063776115060035

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063776115060035

Keywords

Search

Navigation