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- W2080793205 abstract "The topological properties of a melt of polymer molecules in the form of closed loops is considered. The use of topological invariants within a statistical mechanical framework is explained as well as their connection to gauge fields and gauge field theory. Attention is focused in this paper on the configurational properties of a single loop in a melt of loops where the winding number between each pair is zero. The configurations of all the chains, except one, are averaged out in the partition sum. The effect of the topological constraint on the remaining chain is to produce two configurational weighting factors which involve unusual geometrical properties. One is a phase factor depending on the writhe of the configuration and the other is a Boltzmann-like factor with the self-inductance of the configuration in the role of the interaction energy. The term based on the writhe has the remarkable property of transforming random-walk-like configurations into those of stiff rods, while the inductance term promotes a transition to a completely collapsed state. The actual configuration of the loop is shown to be a non-trivial balance between these opposing tendencies with the size R of the loop scaling with the length as R2 ∼ L0.89." @default.
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- W2080793205 date "1995-06-01" @default.
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- W2080793205 title "Topology, gauge fields and the statistical mechanics of a melt of polymer rings" @default.
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- W2080793205 doi "https://doi.org/10.1016/0166-1280(94)04077-6" @default.
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