Dynamics of two topologically entangled chains

Autor: Ferrari, F., Paturej, J., Piatek, M., Vilgis, T. A.
Rok vydání: 2011
Předmět:
Zdroj: J.Math.Phys.52:043301,2011
Druh dokumentu: Working Paper
DOI: 10.1063/1.3574356
Popis: Starting from a given topological invariant, we argue that it is possible to construct a topological field theory with a finite number of Feynman diagrams and an amplitude of gauge invariant objects that is a function of that invariant. This is for example the case of the Gauss linking number and of the abelian BF models which has been already successfully applied in the statistical mechanics of polymers. In this work it is shown that a suitable generalization of the BF model can be applied also to polymer dynamics, where the polymer trajectories are not static, but change their shape during time.
Comment: 8 pages, 1 figure, to appear in Jour. Math. Phys
Databáze: arXiv