Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/9930
Title: Statistics of semiflexible self-avoiding trails on a family of two-dimensional compact fractals
Authors: Živić, Ivan
Elezović-Hadžić S.
Milosevic I.
Issue Date: 2011
Abstract: We have applied the exact and Monte Carlo renormalization group (MCRG) method to study the statistics of semiflexible self-avoiding trails (SATs) on the family of plane-filling (PF) fractals. Each fractal of the family is compact, that is, the fractal dimension df is equal to 2 for all members of the PF family, which are enumerated by an odd integer b, 3 ≤ b ≤ ∞. Varying values of the stiffness parameter s of trails from 1 to 0 (so that when s decreases the trail stiffness increases) we calculate exactly (for 3 ≤ b ≤ 7) and through the MCRG approach (for b ≤ 201) the sets of the critical exponents ν (associated with the mean squared end-to-end distances of SATs) and γ (associated with the total number of different SATs). Our results show that critical exponents are stiffness dependent functions, so that ν(s) is a monotonically decreasing function of s, for each studied b, whereas γ(s) displays a non-monotonic behavior for some values of b. On the other hand, by fixing the stiffness parameter s, our results show clearly that for highly flexible trails (with s = 1 and 0.9) ν is a non-monotonic function of b, while for stiffer SATs (with s ≤ 0.7) ν monotonically decreases with b. We also show that γ(b) increases with increasing b, independently of s. Finally, we compare the obtained SAT data with those obtained for the semiflexible self-avoiding walk (SAW) model on the same fractal family, and for both models we discuss behavior of the studied exponents in the fractal-to-Euclidean crossover region b → ∞. © 2011 IOP Publishing Ltd and SISSA.
URI: https://scidar.kg.ac.rs/handle/123456789/9930
Type: article
DOI: 10.1088/1742-5468/2011/10/P10015
SCOPUS: 2-s2.0-80155175951
Appears in Collections:Faculty of Science, Kragujevac

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