Fluctuations of Ring Polymers

S Medalion, E Aghion, H Meirovitch, E. Barkai, D. Kessler

Research output: Contribution to journalArticlepeer-review


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
Original languageEnglish
Article number27661
Pages (from-to)1-8
Number of pages8
JournalScientific Reports
StatePublished - 25 Jan 2015


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