SELF-AVOIDING TRAILS ON FINITELY RAMIFIED FRACTALS

ZHENG DA-FANG; LIN ZHI-FANG; TAO RUI-BAO

doi:10.7498/aps.38.1140

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.
Authors and contacts
ZHENG DA-FANG,

LIN ZHI-FANG,

TAO RUI-BAO

1.
复旦大学物理系
References

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Vol. 38, Issue 7 - 1989-04-05

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SELF-AVOIDING TRAILS ON FINITELY RAMIFIED FRACTALS

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