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

S.S. Manna

Physica A: Statistical Mechanics and its Applications, 1997, vol. 246, issue 3, 399-406

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.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:246:y:1997:i:3:p:399-406

DOI: 10.1016/S0378-4371(97)00381-6

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