We set up a Chern-Simons theory for the entanglement of two polymers P_1 and P_2, and calculate the second topological moment <m^2>, where m is the linking number. The result applies approximately to a polymer in an ensemble of many others, if these are considered as a single very long effective polymer.
@article{arxiv.cond-mat/0003355,
title = {Calculation of Second Topological Moment <m^2> of Two Entangled Polymers},
author = {F. Ferrari and H. Kleinert and I. Lazzizzera},
journal= {arXiv preprint arXiv:cond-mat/0003355},
year = {2016}
}
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Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html Latest update of paper also at http://www.physik.fu-berlin.de/~kleinert/302