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Temperature dependence of the configurational free energy of a branched polymer

  • Reactivity and Reaction Modelling
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Abstract

We consider a lattice model of branched polymers in dilute solution in which the polymer is modelled as an animal, weakly embeddable in the (simple cubic) lattice. In order to model the effect on the thermodynamic properties of changing the temperature or the quality of the solvent, we include an energy associated with the number of nearneighbour contacts between pairs of vertices of the animals. We show that the configurational free energy of the animal is a continuous function of the temperature and derive rigorous upper and lower bounds on the temperature dependence of the free energy. Finally, we comment on similarities between these results and corresponding ones for a model in which the energy is associated with the cyclomatic index of the animal.

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Authors and Affiliations

  1. Department of Chemistry, University of Toronto, MSS 1A1, Toronto, Canada

    S. G. Whittington

  2. Department of Mathematics, University of Saskatchewan, S7N 0W0, Saskatoon, Canada

    C. E. Soteros

  3. Department of Mathematics, York University, Downsview, M3J 1P3, Ontario, Canada

    N. Madras

Authors
  1. S. G. Whittington
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  2. C. E. Soteros
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  3. N. Madras
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Whittington, S.G., Soteros, C.E. & Madras, N. Temperature dependence of the configurational free energy of a branched polymer. J Math Chem 7, 87–94 (1991). https://doi.org/10.1007/BF01200817

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  • DOI: https://doi.org/10.1007/BF01200817

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