Open AccessSELF-AVOIDING TRAILS ON FINITELY RAMIFIED FRACTALS
Author(s) -
Dewen Zheng,
Zhifang Lin,
Ruibao Tao
Publication year - 1989
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.38.1140
Subject(s) - ramification , renormalization group , sierpinski triangle , universality (dynamical systems) , fractal , critical exponent , exponent , mathematics , sierpinski carpet , pure mathematics , class (philosophy) , combinatorics , statistical physics , discrete mathematics , physics , mathematical analysis , computer science , geometry , mathematical physics , quantum mechanics , artificial intelligence , linguistics , philosophy , scaling
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.