Total force on the first 150 beads of three test polymer chains as a function of bead number, showing the intensification of grip forces over time: t v / L = 0.037, t v / L = 0.041, and t v / L = 0.046. The polymer has a length of L = 1450 and a Peclet number of Pe = 4. As time progresses, the grip forces exerted by neighboring polymers become stronger, leading to the stretching of the test polymer at key entanglement points. The insets depict one of the test polymers (green) and its primitive path (red), along with the primitive paths of neighboring polymers (blue), emphasizing the evolving topological interactions and constraints over time. Over the observed time interval, the contour length of the test polymer increases from 377 to 389 .
