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Doubly folded random walks for unentangled polymers: a tree percolation model

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  • Manna, S.S.

Abstract

We study the properties of two-dimensional unentangled polymer chains in a dense environment of many other cross-linked polymer molecules incorporating the excluded volume effect. A kinetic random-walk model is introduced in which the different possible directions of a step are chosen sequentially in a clockwise direction with a pre-assigned probability. While the spanning probability and other bulk properties of this walk shows a percolation-like transition, the detailed structural properties are found to be different. A spiraling behavior is observed beyond the percolation threshold. We also study two other variants of kinetic random walks.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:246:y:1997:i:3:p:399-406
    DOI: 10.1016/S0378-4371(97)00381-6
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    1. 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.
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