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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Conductivity near the percolation threshold ： ウィキペディア英語版 Conductivity near the percolation threshold In a mixture between a dielectric and a metallic component, the conductivity $\backslash sigma$ and the dielectric constant $\backslash epsilon$ of this mixture show a critical behavior if the fraction of the metallic component reaches the percolation threshold.〔 The behavior of the conductivity near this percolation threshold will show a smooth change over from the conductivity of the dielectric component to the conductivity of the metallic component and can be described using two critical exponents s and t, whereas the dielectric constant will diverge if the threshold is approached from either side. To include the frequency dependent behavior, a resistor-capacitor model (R-C model) is used. == Geometrical percolation== For describing such a mixture of a dielectric and a metallic component we use the model of bond-percolation. On a regular lattice, the bond between two nearest neighbors can either be occupied with probability $p$ or not occupied with probability $1-p$. There exists a critical value $p\_c$. For occupation probabilities $p\; >\; p\_c$ an infinite cluster of the occupied bonds is formed. This value $p\_c$ is called the percolation threshold. The region near to this percolation threshold can be described by the two critical exponents $\backslash nu$ and $\backslash beta$ (see Percolation critical exponents). With these critical exponents we have the ''correlation length'', $\backslash xi$ $\backslash xi(p)\; \backslash propto\; (p\_c\; -\; p)^$ and the ''percolation probability'', P: $P(p)\; \backslash propto\; (p\; -\; p\_c)^$ 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Conductivity near the percolation threshold」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.