| 电介质击穿逾渗模型中的标度律 |
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| 引用本文： | 邹健,丁洪志,邢修三. 电介质击穿逾渗模型中的标度律[J]. 北京理工大学学报(英文版), 1998, 7(3): 257-261 |
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| 作者姓名： | 邹健 丁洪志 邢修三 |
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| 作者单位： | 北京理工大学应用物理系!北京，100081，北京理工大学应用物理系!北京，100081，北京理工大学应用物理系!北京，100081 |
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| 摘 要： | 目的电介质材料中的无序对于电介质击穿是非常敏感的．本文将对不均匀电介质中的电击穿特性进行研究．方法建立了一个简单的内含无序的电介质击穿模型，并采用重整化群方法进行研究．结果得到了击穿的逾渗阈值Pc，击穿场强与逾渗阈值Pc的关系式Ec～（Pc－P）v，和分形维数df．结论无序材料电介质的击穿规律满足标度律，并且临界指数是普适的．
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| 关 键 词： | 电介质击穿 标度律 重整化群方法 分形 |
Scaling Rules for the Percolation Model of Dielectric Breakdown |
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| Zou Jian,Ding Hongzhi and Xing Xiusan. Scaling Rules for the Percolation Model of Dielectric Breakdown[J]. Journal of Beijing Institute of Technology, 1998, 7(3): 257-261 |
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| Authors: | Zou Jian Ding Hongzhi Xing Xiusan |
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| Affiliation: | Depatment of Applied Physics, Beijing Institute of Technology, Beijing 100081;Depatment of Applied Physics, Beijing Institute of Technology, Beijing 100081;Depatment of Applied Physics, Beijing Institute of Technology, Beijing 100081 |
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| Abstract: | Aim To study the dIelectric breakdown phenomenon in the materials with quenched disorder. Methods Renormolization group methods were used. Results The percolation limit for breakdown pc , the breakdown field Ec～(Pc-p)v, and the fractal dimension of the structure of dielectric breakdown df were obtained. Conclusion The breakdown properties of the materials with quenched disorder are characterized by universal power laws, where the exponents are universal. |
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| Keywords: | dielectric breakdown scaling rules renormolization group methods fractal |
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