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ANALYTICAL SOLUTION OF A PERCOLATION MODEL FOR CHARGE DECAY ON SURFACES

P. Bozsoki1,* , S. D. Baranovskii1, P. Thomas1, T. A. Yovcheva2, G. A. Mekishev2

Affiliation

  1. Department of Physics and Material Sciences Center, Phillips University Marburg, D-35032 Marburg, Germany
  2. Department of Experimental Physics, University of Plovdiv ‘P Hilendarski’ Tzar Assen Street 24, 4000 Plovdiv, Bulgaria

Abstract

Recently, a percolation analysis has been applied to describe potential decays on surfaces of corona-charged electrets [Yovcheva et al., J. Phys.: Condens. Matter 16, 455 (2004)]. In this analysis, a numerical method based on a “black-box” software was used, and this does not allow a transparent treatment of parameters responsible for the decays. We suggest an exact analytical solution of this theoretical problem, within the very same model as the one used by Yovcheva et al. The analytical solution provides a much better understanding of the potential decay phenomenon than a “black-box” numerical calculation..

Keywords

Electret, Surface potential decay, Percolation theory, Analytical solution.

Submitted at: Dec. 9, 2004
Accepted at: Jan. 26, 2005

Citation

P. Bozsoki, S. D. Baranovskii, P. Thomas, T. A. Yovcheva, G. A. Mekishev, ANALYTICAL SOLUTION OF A PERCOLATION MODEL FOR CHARGE DECAY ON SURFACES, Journal of Optoelectronics and Advanced Materials Vol. 7, Iss. 1, pp. 301-304 (2005)