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• W3098636680 endingPage "P10020" @default.
• W3098636680 startingPage "P10020" @default.
• W3098636680 abstract "The winding angle probability distribution of a planar self-avoiding walk has been known exactly since a long time: it has a gaussian shape with a variance growing as $<theta^2>sim ln L$. For the three-dimensional case of a walk winding around a bar, the same scaling is suggested, based on a first-order epsilon-expansion. We tested this three-dimensional case by means of Monte Carlo simulations up to length $Lapprox25,000$ and using exact enumeration data for sizes $Lle20$. We find that the variance of the winding angle scales as $<theta^2>sim (ln L)^{2alpha}$, with $alpha=0.75(1)$. The ratio $gamma = <theta^4>/<theta^2>^2=3.74(5)$ is incompatible with the gaussian value $gamma =3$, but consistent with the observation that the tail of the probability distribution function $p(theta)$ is found to decrease slower than a gaussian function. These findings are at odds with the existing first-order $epsilon$-expansion results." @default.
• W3098636680 created "2020-11-23" @default.
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• W3098636680 creator A5048018354 @default.
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• W3098636680 date "2011-10-20" @default.
• W3098636680 modified "2023-09-27" @default.
• W3098636680 title "The equilibrium winding angle of a polymer around a bar" @default.
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• W3098636680 doi "https://doi.org/10.1088/1742-5468/2011/10/p10020" @default.
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