Eur. Phys. J. B 18, 645-654 (2000)
https://doi.org/10.1007/s100510070013

Calculation of second topological moment (m²) of two entangled polymers

¹ Dipartimento di Fisica, Università di Trento, 38050 Povo, Italy
² INFN, Gruppo Collegato di Trento, 38050 Povo, Italy
³ Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany

Corresponding author: ^a kleinert@physik.fu-berlin.de

Received: 22 March 2000
Revised: 22 September 2000
Published online: 15 December 2000

Abstract

We set up a field theoretical model based on Abelian Chern-Simons field theories to describe the topological entanglement of two polymers. The topological states of the system are distinguished using the link invariant of Gauss. The second topological moment of the two polymers , where m is the linking number, is exactly computed by field theoretical methods. The result is applied to estimate approximatively the mean square average of the linking number of a polymer P₁ in a dilute solution with other polymers.