Electrical conductivity of a two-dimensional model for a structurally anisotropic composite

Journal Article · Mon Feb 15 00:00:00 EST 2010 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S106377611002010X· OSTI ID:21443412

Balagurov, B. Ya., E-mail: [e-mail].r ^[1]

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1. Russian Academy of Sciences, Emanuel Institute of Biochemical Physics (Russian Federation)

The electrical conductivity of a two-dimensional structurally anisotropic model for a composite is considered. The model represents an isotropic matrix with a system of nonconducting inclusions in the form of infinitely thin straight line segments (scratches). The scratches make an angle {theta} or -{theta} with a preferred axis (for definiteness, axis y) at the same probability, and their centers are chaotically distributed. An approximate effective medium method is used to obtain a general expression for the effective conductivity tensor of this model that is valid over a wide concentration range. In this approximation, both components of tensor are shown to vanish at the same percolation threshold, which is expressed explicitly. The conductivity of the model in a critical region is considered in terms of the similarity hypothesis.

• OSTI ID: 21443412
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 110, Issue 2; Other Information: DOI: 10.1134/S106377611002010X; Copyright (c) 2010 Pleiades Publishing, Ltd.; ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANISOTROPY
APPROXIMATIONS
COMPOSITE MATERIALS
ELECTRIC CONDUCTIVITY
INCLUSIONS
TENSORS
TWO-DIMENSIONAL CALCULATIONS
CALCULATION METHODS
ELECTRICAL PROPERTIES
MATERIALS
PHYSICAL PROPERTIES