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On the number of contacts of two polymer chains situated on fractal structures

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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, \(3\le b\le\infty\). By applying the exact Renormalization Group (RG) method, we establish the relevant phase diagrams whereby we calculate the contact critical exponents \(\varphi\) (for the CB and X fractals with b = 5 and b = 7). The critical exponent \(\varphi\) is associated with power law of the number of sites at which the two polymers are touching each other.

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Authors and Affiliations

  1. Faculty of Physics, University of Belgrade, P.O. Box 368, 11001, Belgrade, Serbia

    V. Miljković & S. Milošević

  2. Faculty of Natural Sciences and Mathematics, University of Kragujevac, 34000, Kragujevac, Serbia

    I. Živić

Authors
  1. V. Miljković
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  2. I. Živić
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  3. S. Milošević
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Correspondence to S. Milošević.

Additional information

Received: 12 March 2004, Published online: 3 August 2004

PACS:

64.60.Ak Renormalization-group, fractal, and percolation studies of phase transitions - 36.20.Ey Conformation (statistics and dynamics)

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Miljković, V., Živić, I. & Milošević, S. On the number of contacts of two polymer chains situated on fractal structures. Eur. Phys. J. B 40, 55–61 (2004). https://doi.org/10.1140/epjb/e2004-00238-2

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  • DOI: https://doi.org/10.1140/epjb/e2004-00238-2

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