Please use this identifier to cite or link to this item:
https://physrep.ff.bg.ac.rs/handle/123456789/330
Title: | Critical exponents of surface-interacting self-avoiding walks on a family of truncated n-simplex lattices | Authors: | Elezović-Hadžić, Sunčica Knežević, Milan |
Keywords: | Critical exponents;Fractals;Polymer adsorption;Renormalization group;Self-avoiding walks | Issue Date: | 1-Jun-1996 | Journal: | Physica A: Statistical Mechanics and its Applications | Abstract: | We study the critical behavior of surface-interacting self-avoiding random walks on a class of truncated simplex lattices, which can be labeled by an integer n ≥ 3. Using the exact renormalization group method we have been able to obtain the exact values of various critical exponents for all values of n up to n = 6. We also derived simple formulas which describe the asymptotic behavior of these exponents in the limit of large n (n → ∞). In spite of the fact that the coordination number of the lattice tends to infinity in this limit, we found that most of the studied critical exponents approach certain finite values, which differ from corresponding values for simple random walks (without self-avoiding walk constraint). |
URI: | https://physrep.ff.bg.ac.rs/handle/123456789/330 | ISSN: | 0378-4371 | DOI: | 10.1016/0378-4371(96)00018-0 |
Appears in Collections: | Journal Article |
Show full item record
SCOPUSTM
Citations
4
checked on Nov 23, 2024
Page view(s)
13
checked on Nov 25, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.