https://doi.org/10.1140/epjb/e2004-00238-2
On the number of contacts of two polymer chains situated on fractal structures
1
Faculty of Physics, University of Belgrade, P.O. Box
368, 11001 Belgrade, Serbia
2
Faculty of Natural Sciences and
Mathematics, University of Kragujevac, 34000 Kragujevac, Serbia
Corresponding author: a emilosev@etf.bg.ac.yu
Received:
12
March
2004
Published online:
3
August
2004
We study the critical behavior of the number
of monomer-monomer contacts for two polymers in a good
solvent. Polymers are modeled by two self-avoiding walks
situated on fractals that belong to the checkerboard
(CB) and X family. Each member of a family is labeled by
an odd integer b, 
. By applying the
exact Renormalization Group (RG) method, we establish the
relevant phase diagrams whereby we calculate the contact
critical exponents φ (for the CB and X fractals
with b=5 and b=7). The critical exponent φ is
associated with power law of the number of sites at which
the two polymers are touching each other.
PACS: 64.60.Ak – Renormalization-group, fractal, and percolation studies of phase transitions / 36.20.Ey – Conformation (statistics and dynamics)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004
