The permittivity of a planar percolation system
A P Vinogradov; I G Busarov; O P Posudnevsky; V E Romanenko; A P Vinogradov; Sci. Centre for Appl. Problems in Electrodynamics, Acad. of Sci., Moscow, Russia; I G Busarov; Sci. Centre for Appl. Problems in Electrodynamics, Acad. of Sci., Moscow, Russia; O P Posudnevsky; Sci. Centre for Appl. Problems in Electrodynamics, Acad. of Sci., Moscow, Russia; V E Romanenko; Sci. Centre for Appl. Problems in Electrodynamics, Acad. of Sci., Moscow, Russia
Журнал:
Journal of Physics: Condensed Matter
Дата:
1994-06-06
Аннотация:
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<sub>c</sub>, omega =0) approximately L<sup>s</sup>v/, epsilon (L= infinity , p<sub>c</sub>, omega ) approximately omega <sup>1-u</sup>) of the planar and 2D systems are different: Delta (s/v) approximately=0.25 and u<sub>pps</sub> approximately=0.42<u<sub>2D</sub>=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.
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