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Nonlinear resistance of polymer composites with carbon nanotube additives in the percolation state

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Abstract

The electrical properties of a polymer composite with carbon nanotube additives have been analyzed. The state of the system near the percolation threshold, when charge is transferred along a single percolation path, has been considered. For this state, the current–voltage characteristics of a percolation chain made up of carbon nanotubes have been calculated under the assumption that the contact resistance between neighboring nanotubes is much higher than the intrinsic resistance of the nanotubes. According to recent data, the distance between neighboring (contacting) nanotubes has been assumed to be randomly distributed. It has been shown that, under the given conditions, the current–voltage characteristic is essentially nonlinear. This indicates the nonohmic conductivity of the composites. The dependence of the current–voltage characteristic on the spread of the contact distribution over distances has been discussed.

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References

  1. J. N. Coleman, S. Curran, A. B. Dalton, A. P. Davey, B. McCarthy, W. Blau, and R. C. Barklie, Phys. Rev. B 58, R7492 (1998).

    Article  ADS  Google Scholar 

  2. W. Bauhofer and J. Kovas, Compos. Sci. Technol. 69, 1486 (2009).

    Article  Google Scholar 

  3. A. V. Eletskii, A. A. Knizhnik, B. V. Potapkin, and J. M. Kenny, Phys. Usp. 58, 209 (2015).

    Article  ADS  Google Scholar 

  4. C. Barone, S. Pagano, and H. C. Neitzert, J. Appl. Phys. 110, 113–716 (2011).

    Article  Google Scholar 

  5. A. Chiolerio, M. Castellino, P. Jagdale, M. Giorcelli, S. Bianco, and A. Tagliaferro, Carbon Nanotubes–Polymer Nanocomposites, Ed. by S. Yellampalli (InTech, Rijeka, 2011), p. 215.

  6. A. Terenzi, M. Natali, R. Petrucci, M. Rallini, L. Peponi, A. Eletskii, A. Knizhnik, P. Popov, B. Potapkin, and J. M. Kenny, Polym. Compos. (2015). doi 10.1002/pc.23565

    Google Scholar 

  7. A. K. Sarychev and V. M. Shalaev, Electrodynamics of Metamaterials (Nauchnyi Mir, Moscow, 2011).

    MATH  Google Scholar 

  8. B. I. Shklovskii and A. L. Efros, Sov. Phys. Usp. 18, 845 (1975).

    Article  ADS  Google Scholar 

  9. D. Stauffer and A. Aharony, Introduction to Percolation Theory (Taylor, London, 1992).

    MATH  Google Scholar 

  10. M. Sahimi, Applications of Percolation Theory (Taylor, London, 1994).

    Google Scholar 

  11. S. Kirkpatrick, Rev. Mod. Phys. 45, 574 (1973).

    Article  ADS  Google Scholar 

  12. C. Grimaldi, M. Mionic, R. Gaal, L. Forro, and A. Magrez, Appl. Phys. Lett. 102, 223 114 (2013).

    Google Scholar 

  13. L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory (Nauka, Moscow, 1989, 4th ed., Pergamon, Oxford, 1977, 3rd ed.).

  14. Y. Yu, G. Song, and L. Sun, J. Appl. Phys. 108, 084319 (2010).

    Article  ADS  Google Scholar 

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Correspondence to A. V. Eletskii.

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Original Russian Text © G.S. Bocharov, A.V. Eletskii, A.A. Knizhnik, 2016, published in Zhurnal Tekhnicheskoi Fiziki, 2016, Vol. 86, No. 10, pp. 64–68.

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Bocharov, G.S., Eletskii, A.V. & Knizhnik, A.A. Nonlinear resistance of polymer composites with carbon nanotube additives in the percolation state. Tech. Phys. 61, 1506–1510 (2016). https://doi.org/10.1134/S1063784216100078

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  • DOI: https://doi.org/10.1134/S1063784216100078

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