| 提高重整化群精度的一个尝试 |
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| 引用本文： | 张海林,杨善让,徐志明,王升龙,白立新.提高重整化群精度的一个尝试[J].工程热物理学报,2003,24(6):992-994. |
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| 作者姓名： | 张海林 杨善让 徐志明 王升龙 白立新 |
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| 作者单位： | 1. 东北电力学院节能与测控技术研究中心,吉林,132012;华北电力大学,河北,保定,071003
2. 东北电力学院节能与测控技术研究中心,吉林,132012 |
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| 摘 要： | 以热逾渗分析散粒体导热率时,利用重整化群方法改变粗视化程度来定量地获得导热率的变化。实践表明这只有设法提高重整化群的精度才会有较好的结果。本文以逾渗转变为例,针对b=2的相关尺度变化方式,分别对二维和三维实空间的重整化变换进行了修正,导出了相应的重整化方程。计算精度有明显提高,计算结果与实验值更接近。
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| 关 键 词： | 重整化群 相变 临界现象 逾渗转变 |
| 文章编号： | 0253-231X(2003)06-0992-03 |
| 修稿时间： | 2002年11月30 |
A TRIAL TO IMPROVE THE PRECISION OF RENORMALIZATION GROUP |
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| ZHANG Hai-Lin YANG Shan-Rang XU Zhi-Ming WANG Sheng-Long BAI Li-Xin.A TRIAL TO IMPROVE THE PRECISION OF RENORMALIZATION GROUP[J].Journal of Engineering Thermophysics,2003,24(6):992-994. |
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| Authors: | ZHANG Hai-Lin YANG Shan-Rang XU Zhi-Ming WANG Sheng-Long BAI Li-Xin |
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| Abstract: | In the process of obtaining thermal conductivity of disperse system by means of percolation, one can use renormalization group to change the rough degree and get the change of thermal conductivity quantitatively. However, practice shows that the precision of renormalization group must be improved in order to get better results. In the case of b - 2 (b is the change of correlation dimension) and taking percolation change for example, this article analyzed the renormalization theory in the space of two and three dimensions respectively and obtained the renormalization group equation accordingly. It improved the precision of renormalization group. The calculation results are much closer with the experimental results. |
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| Keywords: | renormalization group phase change critical phenomenon percolation change |
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