| 有限分枝分形上的自迴避迹行走 |
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| 引用本文： | 郑大昉,林志方,陶瑞宝.有限分枝分形上的自迴避迹行走[J].物理学报,1989,38(7):1140-1045. |
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| 作者姓名： | 郑大昉 林志方 陶瑞宝 |
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| 作者单位： | 复旦大学物理系 |
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| 基金项目： | 国家自然科学基金;国家教育委员会博士点基金 |
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| 摘 要： | 本文考虑在Sierpinski gasket及分支Koch曲线上的自迴避迹行走,运用实空间重整化群技术求出了相应的关联长度临界指数ν。结果表明,在Sierpinski gasket上,自迴避迹行走与自迴避行走属同一普适类;而在较高分枝度(Rmax>3)的Koch曲线上,两者属不同普适类。
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| 收稿时间： | 1988-10-11 |
SELF-AVOIDING TRAILS ON FINITELY RAMIFIED FRACTALS |
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| ZHENG DA-FANG,LIN ZHI-FANG and TAO RUI-BAO.SELF-AVOIDING TRAILS ON FINITELY RAMIFIED FRACTALS[J].Acta Physica Sinica,1989,38(7):1140-1045. |
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| Authors: | ZHENG DA-FANG LIN ZHI-FANG and TAO RUI-BAO |
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| Abstract: | Using an exact real-space renormalization-group technique, we show that self-avoiding trails (SAT) and self-avoiding walks (SAW) on the Sierpinski gasket enjoy the same critical exponent ν for the ‘correlation length' and therefore belong to the same universcllily class. On the other hand, it is shown that SAT on branching Koch curves with maximum ramification number Rmax>3 belongs to another universality class different from that of SAW. |
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