Percolation and transport coefficients of biaxial anisotropic composites
- 10 February 1992
- journal article
- Published by IOP Publishing in Journal of Physics: Condensed Matter
- Vol. 4 (6) , 1521-1533
- https://doi.org/10.1088/0953-8984/4/6/017
Abstract
Second-order phase transitions are studied for a biaxial anisotropic disordered system composed of randomly distributed metal and non-metal regions, the former having tensor-type conductivity along the principal axes. Integrals are derived for the anisotropic Hall and Seebeck coefficients using Green functions. Computer calculations show that near the percolation threshold, the decrease of the biaxial anisotropy of the effective conductivity and Hall and Seebeck coefficients is described by new critical exponents. A model of 'special points' of the biaxial anisotropic infinite cluster above the threshold and the two-component infinite cluster below the threshold is developed.Keywords
This publication has 13 references indexed in Scilit:
- Percolation and anisotropic conductivity, the Hall effect and thermopower in disordered systemsJournal of Physics C: Solid State Physics, 1987
- Percolation and critical behaviour of kinetic coefficientsJournal of Physics C: Solid State Physics, 1985
- Percolation conductivity in anisotropic systemJournal of Physics C: Solid State Physics, 1983
- Topology of a two-component disordered system below and above the percolation thresholdPhilosophical Magazine Part B, 1982
- Percolative conduction in anisotropic media: A renormalization-group approachPhysical Review B, 1981
- Anisotropy of percolation conductionPhysica Status Solidi (b), 1978
- The geometry of the percolation thresholdAIP Conference Proceedings, 1978
- On a relation between percolation theory and the elasticity of gelsJournal de Physique Lettres, 1976
- Conduction in anisotropic disordered systems: Effective-medium theoryPhysical Review B, 1974
- Percolation Theory and Electrical ConductivityPhysical Review Letters, 1971