Second topological moment of two closed polymers.

Ignazio Lazzizzera

Abstract

The exact calculation of the second topological moment of two closed polymers is done by a field theoretical technique. Namely Chern-Simons fields are used to describe the linking number m in an action where a quartic interaction among "matter" fields accounts for the steric repulsion (the so called "excluded volume effect") between the chain elements of the polymers. Effects of self-entanglement are ignored. The result allows an estimation of the mean square average of the linking number of a given polymer in solution with others.




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