The Critical Behavior of Partially Directed SAW on Sierpinski Carpets |
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| Authors: | Kai-Lun YAO Guo-Ce ZHUANG JiA-Fu WANG |
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| Institution: | 1. Physics Department, Huazhong University of Science and Technology, Wuhan 430074, China;
2. Center of Theoretical Physics, CCAST (World Lab. ) P. O. Box 8730, Beijing;
3. Physics Department, Yancheng Teacher's College, Yancheng 224002, China |
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| Abstract: | Using the fractal-cell generation method we perform a numerical simulation study for partially directed self-avoiding walks (PDSAW) on Sierpinski carpets. The obtained critical exponents vH is found to be independent of the fractal dimension of Sierpinski carpet df, but v⊥ is dependent on df . This result indicates that PDSAW on different Sierpinski carpets belong to different universality classes. Compared with the fully directed self-avoiding walks (FDSAW) on the same carpets, the obtained results indicate that PDSAW and FDSAW belong to the same universality class. |
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