A random-resistor model proposed recently for dispersed ionic conductors is generalized to study the effect of dispersed particle size on the conductivity of such composites. Monte Carlo calculations for two-dimensional systems are reported for square as well as rodlike particles of different size. It is found that the corresponding critical concentrations pc and pc, for interface percolation and the conductor-insulator transition, respectively, strongly depend on the size and shape of the dispersed particles. The generalized model thus offers the possibility of studying a variety of physical situations which are relevant to experiments. © 1987 The American Physical Society.
Roman, H., Yussouff, M. (1987). Particle-size effect on the conductivity of dispersed ionic conductors. PHYSICAL REVIEW. B, CONDENSED MATTER, 36(13), 7285-7288 [10.1103/PhysRevB.36.7285].
Particle-size effect on the conductivity of dispersed ionic conductors
Roman H. E.;
1987
Abstract
A random-resistor model proposed recently for dispersed ionic conductors is generalized to study the effect of dispersed particle size on the conductivity of such composites. Monte Carlo calculations for two-dimensional systems are reported for square as well as rodlike particles of different size. It is found that the corresponding critical concentrations pc and pc, for interface percolation and the conductor-insulator transition, respectively, strongly depend on the size and shape of the dispersed particles. The generalized model thus offers the possibility of studying a variety of physical situations which are relevant to experiments. © 1987 The American Physical Society.
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