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Dynamics of a polymer chain in an array of obstacles

Author

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  • Nechaev, S.K.
  • Semenov, A.N.
  • Koleva, M.K.

Abstract

On the basis of the model “polymer chain in an array of obstacles” the influence of the topology effects on the dynamics of concentrated polymer systems is investigated theoretically. The 1/z-expansion (where z is the coordinational number of the lattice of obstacles) is proposed for this problem. By means of this expansion the diffusion coefficient of a linear unclosed polymer chain is calculated. The equilibrium properties of linear closed chain (i.e. ring) unentangled with either of the edges of the lattice are investigated in detail. In particular, it is shown that the diffusion coefficient D of the center of mass of closed chain consisting of N links is proportional to N−5/2.

Suggested Citation

  • Nechaev, S.K. & Semenov, A.N. & Koleva, M.K., 1987. "Dynamics of a polymer chain in an array of obstacles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 140(3), pages 506-520.
    • Handle: RePEc:eee:phsmap:v:140:y:1987:i:3:p:506-520
    DOI: 10.1016/0378-4371(87)90078-1
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    Cited by:

    1. Manna, S.S., 1997. "Doubly folded random walks for unentangled polymers: a tree percolation model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(3), pages 399-406.

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