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• W3102117062 abstract "We present an exact solution for the distribution of sample averaged monomer to monomer distance of ring polymers. For non-interacting and weakly-interacting models these distributions correspond to the distribution of the area under the reflected Bessel bridge and the Bessel excursion respectively, and are shown to be identical in dimension d greater or equal 2. A symmetry of the problem reveals that dimension d and 4 minus d are equivalent, thus the celebrated Airy distribution describing the areal distribution of the one dimensional Brownian excursion describes also a polymer in three dimensions. For a self-avoiding polymer in dimension d we find numerically that the fluctuations of the scaled averaged distance are nearly identical in dimensions 2 and 3, and are well described to a first approximation by the non-interacting excursion model in dimension 5." @default.
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• W3102117062 date "2016-06-15" @default.
• W3102117062 modified "2023-09-27" @default.
• W3102117062 title "Size distribution of ring polymers" @default.
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• W3102117062 doi "https://doi.org/10.1038/srep27661" @default.
• W3102117062 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/4908590" @default.
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