Abstract
We study as an example of a continuous-time random walk (CTRW) scheme under holonomic constraints the motion of a rigid triangle, moving on a plane by flips of its vertices. This interpolates between our former model of a dumbbell (two walkers joined by a fixed segment) and the Orwoll-Stockmeyer model for polymer diffusion. The jumps of the vertices follow either Poissonian or power-law waiting-time distributions, and each vertex follows its own internal clock. Numerical simulations of the triangle`s centre-of-mass motion show it to be diffusive at short and also at long times, with a broad crossover (subdiffusive) region in between. Furthermore, we provide approximate expressions for the long-time regime and generalize our findings for systems of N random walkers.