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用随机步动法计算高分子电介质中的电枝生长时间
引用本文:沈爱梓.用随机步动法计算高分子电介质中的电枝生长时间[J].重庆工商大学学报(自然科学版),1990(3).
作者姓名:沈爱梓
作者单位:渝州大学物理系
摘    要:电介质中的电枝击穿过程是当前国际上研究的重要课题。本文试以一维链段上的随机步动为基础,计算在直链高分子电介质中的电枝生长时间与电枝长度关系,交链高分子电介质中的电枝生长时间与电枝长度关系。计算结果与对应介质中的实测结果进行了比较,结果符合得相当好.说明本文提出的电枝击穿过程的思考在不太强的发散电扬中是可取的.这对如何减少电枝击穿危害是有益的.

关 键 词:电枝击穿  随机步动  平均第一程时间  传递函数  空程函数  连通概率  重整化顶  生成函数

Calculating Grow up Time of Electrical Tree in the Polymer Dielectric by Means of the Analytic Method of Rendom Walks
Shen Aizi.Calculating Grow up Time of Electrical Tree in the Polymer Dielectric by Means of the Analytic Method of Rendom Walks[J].Journal of Chongqing Technology and Business University:Natural Science Edition,1990(3).
Authors:Shen Aizi
Abstract:At present,the electrical tree breaking process in the insulatic mate- rial is one of important subject of researches in the world.In this paper, the author tries to calculate the relation between the generating time and the generating length of an electrical tree in the linear segment polymer and in the cross segment polymer by means of analytic method of ran- dom and restricted walks. While comparing with experimental data,the author found that the analytic results agreed completely with these data.This illustrates that the author's proposal for interpretation of an electric tree breaking process is right when the divergent electric field is not intensive.This is helpful to how to reduce the impairment of electric tree break.
Keywords:electric tree break  random walks  mean firstpassage time  renormalized vertex  propagated function  without touching function  routed probability  generating function  
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