Skip to main content
SpringerLink
Log in

Investigation of the dielectric response of binary disordered systems modelled as random resistor–capacitor networks

  • Original Paper
  • Published:
Indian Journal of Physics Aims and scope Submit manuscript

Abstract

In this paper, we investigate the dielectric response of binary disordered systems, which are widely modelled by random resistor–capacitor networks (RRCN). Our results show the existence of a scaling law connecting the standard deviation of conductivity to the network size and capacitors proportion. In addition, we have studied the effect of using lossy capacitors on the dielectric response of RRCN. We found that lossy capacitors may introduce substantial effects of the dielectric loss, especially at low frequencies.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. B Vainas, D P Almond, J Luo and R Stevens Solid State Ionics 126 65 (1999)

    Article  Google Scholar 

  2. S Torquato Random heterogeneous materials (New York, Springer) (2002)

  3. A K Jonscher Nature 267 673 (1977)

    Article  ADS  Google Scholar 

  4. A K Jonscher IEEE Trans. Elec. Ins. 27 407 (1992)

    Article  Google Scholar 

  5. A K Jonscher IEEE Electr. Insul. Mag. 6 16 (1990)

    Article  Google Scholar 

  6. J C Dyre and T B Schrøder Rev. Mod. Phys. 72 873 (2000)

    Article  ADS  Google Scholar 

  7. A Jonscher Nature 253 717 (1975)

    Article  ADS  Google Scholar 

  8. D P Almond and C R Bowen Phys. Rev. Lett. 92 157601 (2004)

    Article  ADS  Google Scholar 

  9. C R Bowen and D P Almond Mater. Sci. Technol. 22 719 (2006)

    Article  Google Scholar 

  10. J P Clerc, G Giraud, J M Laugier and J M Luck Adv. Phys. 39 191 (1990)

    Article  ADS  Google Scholar 

  11. M Aouaichia, N McCullen, C R Bowen, D P Almond, C Budd and R Bouamrane Eur. Phys. J. B 90 39 (2017)

    Article  ADS  Google Scholar 

  12. S Panteny, R Stevens and C R Bowen Ferroelectrics 319 199 (2005)

    Article  Google Scholar 

  13. D P Almond and B Vainas J. Phys.: Condens. Matter 11 9081 (1999)

    ADS  Google Scholar 

  14. R Bouamrane and D P Almond J. Phys.: Condens. Matter 15 4089 (2003)

    ADS  Google Scholar 

  15. D Almond, C Bowen and D Rees J. Phys. D 39 1295 (2006)

    Article  Google Scholar 

  16. D P Almond, C J Budd, M A Freitag, G W McCullen, N J Hunt and N D Smith Physica A 392 1004 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  17. N J McCullen, D P Almond, C J Budd and G W Hunt J. Phys. D: Appl. Phys. 42 064001 (2009)

    Article  ADS  Google Scholar 

  18. C R Bowen, A C E Dent, D P Almond and T P Comyn Ferroelectrics 370 166 (2008)

    Article  Google Scholar 

  19. D J Franck and C J Lobb Phys. Rev. B 37 302 (1988)

    Article  ADS  MathSciNet  Google Scholar 

  20. C J Lobb and D J Frank Phys. Rev. B 30 4090 (1984)

    Article  ADS  Google Scholar 

  21. R F Hamou, J R Macdonald and E Tuncer J. Phys.: Condens. Matter 21 025904 (2009)

    ADS  Google Scholar 

Download references

Acknowledgements

This work was supported by the Algerian Ministry of Higher Education and Scientific Research. Authors would like to thank the Directorate General for Scientific Research and Technology Development (DG-RSDT) for providing USTO-MB University with a high-performance computing facility (IBN BAJA). A special thanks to Prof. L Metoseriu and Dr. J G Beppe for useful discussions.

Author information

Authors and Affiliations

  1. LEPM, Faculté de Physique, USTO-MB, BP 1505, El M’Naouer, 31000, Oran, Algeria

    A Benyahia & R Bouamrane

Authors
  1. A Benyahia
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R Bouamrane
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A Benyahia.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Benyahia, A., Bouamrane, R. Investigation of the dielectric response of binary disordered systems modelled as random resistor–capacitor networks. Indian J Phys 94, 1895–1900 (2020). https://doi.org/10.1007/s12648-019-01642-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12648-019-01642-0

Keywords

PACS Nos.

Search

Navigation