Eur. Phys. J. B 40, 55-61 (2004)
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

Abstract

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.