Did Maxwell know about the percolation threshold? (on the fiftieth anniversary îf percolation theory)
National Technical University of Ukraine ‘Kyiv Polytechnical Institute’, Peremogy prosp. 37, Kiev, 03056, Ukraine
À new approximatioï obtained in terms îf the Ìàõwell approach is proposed for the effective conductivity îf à macroscopically disordered medium. In contrast to the standard Maxwell approximation, this approximation is valid over à much wider concentration range and ñàn qualitatively describe the presence îf the percolation threshold. Òhå relation îf the proposed approximation to the Padé approximant îf the standard Maxwell approximation is also discussed.