On the settling dynamics of Brownian filaments in centrifuge systems and field-induced knot tightening

We investigate the settling dynamics of elastic Brownian filaments by analyzing a wide range of Peclet numbers. Using the Brownian Dynamics method, we make a statistical study on the dynamics of a single filament over a long period of time. We observe that the competition between gravitational and thermal effects can either increase or decrease the average settling velocity of the filaments. Also, the filament's flexibility plays a strong role in the diffusion of the filament perpendicular to gravity, resulting in supper diffusion-like behavior in some cases. At highly flexible regimes, we identify field-induced compaction of the filament, as well as the stabilization of knot structures at high Peclet numbers.