Fitting the DC conductivity and first order AC conductivity results for continuum percolation media, using percolation theory and a single phenomenological equation

✍ Scribed by D.S. McLachlan; C. Chiteme; W.D. Heiss; Junjie Wu

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 163 KB
• Volume: 338
• Category: Article
• ISSN: 0921-4526
• DOI: 10.1016/j.physb.2003.08.003

✦ Synopsis

The standard percolation equations, based on a scaling anzatz, have been one of the most commonly used and successful models for the AC and DC conductivity of good conductor-bad conductor media, with a percolation threshold. Experiments have shown that the DC and first order terms from AC conductivity results can be adequately fitted, and scaled, using both the standard percolation equations and a single analytic phenomenological equation. Results for cellular percolation systems, which support this statement are presented. In some systems non-universal exponents ðs & tÞ are observed and the origin of these, especially t values larger than 3, are discussed.