Lattice models of theta-shaped polymers and other branching structures

Abstract: We implement a new version of the BFACF algorithm combined with the Wang-Landau method to sample lattice polymers with a theta shape. The initial goal is to understand how the three "arms" scale in length, and if this resembles the scaling of a large knotted polygon in dilute solution. Other shapes like "tadpoles" are also studied. These branching structures can potentially be used to model R-loops and other complex polymer molecules.

This is work in progress, in collaboration with Aleks Owczarek and James Gleeson.

geometric topology

Audience: researchers in the topic

GEOTOP-A seminar

Series comments: Web-seminar series on Applications of Geometry and Topology