モンテカルロ法を用いた揺らぎを含むTownsendの放電モデルによる絶縁破壊と非平衡相転移

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概要

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• The transition from non-self-sustaining to self-sustaining discharges is examined from the standpoint of non-equilibrium phase transition by Townsend discharge model including fluctuations by means of Monte Carlo method. After exceeding the Townsend's sparking criterion z = 1 (z = λ_+ [exp(αd) -1], λ_+ : coefficient of secondary electron emission, α : Townsend's first coefficient, d : distance between the electrodes), the electron group for the self-sustaining discharges appears at the higher-number tail of the probability distribution P_<ea> of the electrons at the anode. The breakdown probability estimated is compared to the result calculated with the formula analytically led by R. A. Wijsman [Phys. Rev., 75, 833 (1949)]. The contribution of the secondary electrons to P_<ea> increases with z. The correlation coefficient between the numbers of the secondary electrons emitted at m -th and (m + 1) -th (m = 1, 2, 3, ・ ・ ・ ・) cycles increases with z. A part of the probability distribution of the secondary electrons obeys a power law. This implies a self-similarity in number of the secondary electrons, and a fractal structure may therefore exist in Townsend discharge model. The criterion z = 1 is shown as a critical point between the non-self-sustaining and the self-sustaining discharges. The equivalency between the current-voltage characteristics in this model and the information entropy against z is discussed.

• 前橋工科大学の論文
• 2003-03-27

著者

• 岡田 富男

  情報工学科

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