THE PERMITTIVITY OF A PLANAR PERCOLATION SYSTEM

We have studied the permittivity of a thin (planar) percolation system (PPS) spread over a plane which is in turn sunk into the host medium. We present the numerical simulation of the PPS as well as RG speculations. It appears that u and s indices (epsilon(L, p(c), omega = 0) approximately L(s/nu), epsilon(L = infinity, p(c), omega) approximately omega-(2-u)) of the planar and 2D systems are different: DELTA(s/nu) congruent-to 0.25 and u(PPS) congruent-to 0.42 < u2D = 0.5. We find out that the Shklovskii-Efros scaling relation is true in spite of the fact that the PPS is a non-universal system. The indices depend upon the permittivity of the host medium.