Critical behaviour and isotropicization of the relative spectral density of 1/ƒnoise and of higher-order moments near the percolation threshold in media with elongated inclusions†

Abstract

The higher-order moments of the current distribution in composites containing oriented inclusions with a high degree of elongation have been studied. The weak link model for this type of media is proposed. The critical exponents of the higher-order moments are expressed in terms of the well-known indices of percolation theory. It is demonstrated that, in contrast to the electrical conductivity, the higher-order moments isotropicize.