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Polydisperse chains placed on a one-dimensional lattice

Author

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  • Stilck, Jürgen F.
  • Neto, Minos A.
  • Dantas, Wellington Gomes

Abstract

Using a transfer matrix technique, we calculate the entropy of polydisperse chains placed on an one-dimensional lattice, as a function of the density of internal and endpoint monomers. The polydispersivity is determined considering different activities for the two types of monomers, as is usual for equilibrium polymerization and living polymers. If the mean number of monomers in the chains is fixed, the entropy as a function of the density of monomers displays a maximum and is limited from below by the entropy of monodisperse chains. The increase of entropy due to the polydispersivity is a linear function of the density of monomers. We also calculate the distribution of chain sizes, obtaining an exponential relation.

Suggested Citation

  • Stilck, Jürgen F. & Neto, Minos A. & Dantas, Wellington Gomes, 2006. "Polydisperse chains placed on a one-dimensional lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(2), pages 442-448.
    • Handle: RePEc:eee:phsmap:v:368:y:2006:i:2:p:442-448
    DOI: 10.1016/j.physa.2005.12.025
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    Cited by:

    1. do Nascimento, Denise A. & Neto, Minos A. & Salmon, Octavio R. & Ricardo de Sousa, J. & Dinóla Neto, F. & Nunes da Silva, J., 2015. "Entropy of dimers chains placed on a one-dimensional lattice with q-states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 19-24.

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