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Issue 20, 2018
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A bead–spring chain as a one-dimensional polyelectrolyte gel

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The physical principles underlying expansion of a single-chain polyelectrolyte coil caused by Coulomb repulsions among its ionized groups, and the expansion of a cross-linked polyelectrolyte gel, are probably the same. In this paper, we analyze a “one-dimensional” version of a gel, namely, a linear chain of charged beads connected by Hooke's law springs. In the Debye–Hückel range of relatively weak Coulomb strength, where counterion condensation does not occur, the springs are realistically stretched on a nanolength scale by the repulsive interactions among the beads, if we use a spring constant normalized by the inverse square of the solvent Bjerrum length. The persistence length and radius of gyration counter-intuitively decrease when Coulomb strength is increased, if analyzed in the framework of an OSF-type theory; however, a buckling theory generates the increase that is consistent with bead–spring simulations.

Graphical abstract: A bead–spring chain as a one-dimensional polyelectrolyte gel

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Publication details

The article was received on 20 Jan 2018, accepted on 22 Feb 2018 and first published on 22 Feb 2018

Article type: Paper
DOI: 10.1039/C8SM00156A
Citation: Soft Matter, 2018,14, 4074-4080
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    A bead–spring chain as a one-dimensional polyelectrolyte gel

    G. S. Manning, Soft Matter, 2018, 14, 4074
    DOI: 10.1039/C8SM00156A

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