PATTERNS OF MOTION FOR RANDOM WALKERS UNDER HOLONOMIC CONSTRAINTS

As models for polymer diffusion we consider the motion in two dimensio ns and three dimensions of four random walkers restricted by different holonomic constraints. The random walkers perform uncorrelated steps, which obey algebraic waiting-time distributions. We provide numerical results for the centre-of-mass motion and analytical approximations f or the short-and long-time diffusion constants. Distinct from the two- and three-walkers problem we encounter here-depending on the constrain ts-partial nontrivial decoupling of the motion.