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arXiv · 1510.08287

Winding angle distributions for two-dimensional collapsing polymers

Arturo Narros·Aleksander L Owczarek·Thomas Prellberg
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Abstract

We provide numerical support for a long-standing prediction of universal scaling of winding angle distributions. Simulations of interacting self-avoiding walks show that the winding angle distribution for $N$-step walks is compatible with the theoretical prediction of a Gaussian with a variance growing asymptotically as $C\log N$, with $C=2$ in the swollen phase (previously verified), and $C=24/7$ at the $θ$-point. At low temperatures weaker evidence demonstrates compatibility with the same scaling and a value of $C=4$ in the collapsed phase, also as theoretically predicted.

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Arturo Narros, Aleksander L Owczarek, Thomas Prellberg. 2015-11-03. Winding angle distributions for two-dimensional collapsing polymers. https://doi.org/10.1088/1742-6596%2F686%2F1%2F012007

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