The critical exponents ν, ν<sub>||</sub> and ν<sub>⊥</sub> of directed SAW on Sierpinski carpets: a computer simulation study
Kai-Lun Yao; Guo-Ce Zhuang; Kai-Lun Yao; Center of Theor. Phys., CCAST, World Lab., Beijing, China; Guo-Ce Zhuang; Center of Theor. Phys., CCAST, World Lab., Beijing, China
Журнал:
Journal of Physics A: Mathematical and General
Дата:
1990-12-07
Аннотация:
The critical behaviour of fully directed self-avoiding walks (DSAW) on Sierpinski carpets is studied by numerical simulation. The authors propose a fractal cell generation method to form an infinite fractal lattice with the structure of a Sierpinski carpet. The obtained critical exponent ν<sub>||</sub> is independent of the fractal dimension of a Sierpinski carpet d<sub>f</sub> but ν and ν<sub>⊥</sub> are dependent on d<sub>f</sub>. The results indicate that DSAW on different Sierpinski carpets belong to different universality classes.
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