| 多孔和复合媒质直流电导率的计算方法(Ⅰ)——应用于周期性多孔媒质 |
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| 引用本文： | 顾国庆,陶瑞宝. 多孔和复合媒质直流电导率的计算方法(Ⅰ)——应用于周期性多孔媒质[J]. 物理学报, 1988, 37(3): 439-446 |
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| 作者姓名： | 顾国庆 陶瑞宝 |
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| 作者单位： | 复旦大学物理系 |
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| 摘 要： | 我们发展了一种计算多孔和复合媒质直流电导率的第一性原理方法。本文具体讨论周期性多孔媒质直流电导率的理论计算。我们用幂级数展开法、Fourier级数展开高斯消去法和Fourier级数展开迭代法计算了许多二维多孔媒质的有效电导率,并采用改进的迭代法计算了Sierpinski地毯的直流电导率的临界指数。所有结果都与最新的实验结果符合相当好。关键词：
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| 收稿时间： | 1987-06-11 |
A METHOD FOR CALCULATING DC CONDUCTIVITIES OF THE POROUS MEDIUM AND COMPOSITE (Ⅰ)——AN APPROACH TO THE POROUS MEDIUM WITH PERIODIC STRUTURE |
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| GU GUO-QING and TAO RUI-BAO. A METHOD FOR CALCULATING DC CONDUCTIVITIES OF THE POROUS MEDIUM AND COMPOSITE (Ⅰ)——AN APPROACH TO THE POROUS MEDIUM WITH PERIODIC STRUTURE[J]. Acta Physica Sinica, 1988, 37(3): 439-446 |
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| Authors: | GU GUO-QING and TAO RUI-BAO |
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| Abstract: | A first-principle approach to the calculation of dc conductivities of the porous medium and composite is developed. In this paper, the case of the porous medium with periodic structure is discussed in detail. The effective conductivities for many two dimensional porous systems are calculated by polynomial approximation, Fourier expansion using elimination procedure and iterative approach of Fourier expansion Critical exponents for the dc conductivity of Sierpinski carpets are also calculated by an improved iterative approach. All the theoretical results agree fairly with recent experimental measurements. |
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