Gauge Theory of Topological Entanglements. II: -- A Pair of Fluctuating Chains --
Open Access
- 1 July 1982
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 68 (1) , 164-177
- https://doi.org/10.1143/ptp.68.164
Abstract
A statistical theory is developed for the study of interactions between two long flexible polymers which are of topological origin. The probability of finding a pair of closed Brownian chains in entangled states of fixed topological numbers are given as a function of their separation. The Gauss linking number is studied for the topological number by the introducing fictitious “magnetic fields” produced by the chains. Comparisons are made with the results of Monte Carlo study on random walks.Keywords
This publication has 1 reference indexed in Scilit:
- Sequence of invariants for knots and linksJournal de Physique, 1981