Local Polar and Long-Range Isotropic Activity Assisted Swelling and Collapse Dynamics of an Active Ring Polymer
Sandeep Kumar, Snigdha Thakur
Abstract
The circular and ring structures in many synthetic or natural systems simultaneously experience local and long-range forces. In this work, we use numerical simulations to investigate the concurrent effect of a local polar and attractive long-range activity on the active ring polymer. While the long-range attraction leads to a systematic collapse, the polar activity tends to swell the shorter rings and crumple the larger ones. We show that the steady-state conformation of such an active ring strongly depends on the kind of activity. The dominance of local tangential activity for very short rings, while the long-range activity at intermediate length scales is observed. However, in contrast to our intuition, we observe the dominance of local polar activity again for very large rings. We quantify these observations by comparing the scaling laws and local structures with the passive rings. Further, the relaxation dynamics of the ring were characterized by the R g, and a nonmonotonic behavior was observed for polar activity.