Abstract
The electric conduction of the model of a structurally anisotropic composite that represents an isotropic matrix with disk-shaped inclusions (oblate spheroids) is analytically studied. The disks have the same orientation and their centers are randomly distributed in the composite volume. The cases of dielectric and ideally conducting inclusions are considered. The conduction of the model in a broad concentration range is described by the approximate effective medium method. Conduction in the critical region (in the vicinity of the metal–dielectric phase transition point) is studied using the similarity hypothesis.
Similar content being viewed by others
References
B. I. Shklovskii and A. L. Efros, Sov. Phys. Usp. 118, 845 (1975).
A. L. Efros and B. I. Shklovskii, Phys. Status Solidi B 76, 475 (1976).
B. Ya. Balagurov, Electrophysical Properties of Composites. Macroscopic Theory (URSS–Lenand, Moscow, 2015) [in Russian].
J. Tobochnik, M. A. Dubson, M. L. Wilson, and M. F. Thorpe, Phys. Rev. A 40, 5370 (1989).
K. H. Han, J. O. Lee, and Lee Sung-Ik, Phys. Rev. B 44, 6791 (1991).
W. Xia and M. F. Thorpe, Phys. Rev. A 38, 2650 (1988).
E. J. Garboczi, M. F. Thorpe, M. S. de Vries, and A. R. Day, Phys. Rev. A 43, 6473 (1991).
R. J. Landauer, J. Appl. Phys. 23, 779 (1952).
Yu. A. Dreizin and A. M. Dykhne, Sov. Phys. JETP 36, 127 (1972).
M. G. Kendall and P. A. P. Moran, Geometrical Probability (Griffin, London, 1963).
L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media (Butterworth–Heinemann, Oxford, 1993; Nauka, Moscow, 1982).
Y. B. Yi and R. Esmail, J. Appl. Phys. 111, 124903 (2012).
C. D. Lorenz and R. M. Ziff, J. Chem. Phys. 114, 3659 (2001).
J. G. Berryman, Phys. Rev. A 27, 1053 (1983).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © B.Ya. Balagurov, 2016, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2016, Vol. 150, No. 2, pp. 401–410.
Rights and permissions
About this article
Cite this article
Balagurov, B.Y. Conduction of the three-dimensional model of a composite with structural anisotropy. J. Exp. Theor. Phys. 123, 348–356 (2016). https://doi.org/10.1134/S1063776116060017
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776116060017