Relaxation dynamics in the presence of unequally spaced attractors along the reaction coordinate

We show how reaction coordinate path lengths affect the relaxation efficiency of a complex system. To this purpose, we consider the metric contributions to the transition rates. These metric contributions contain information about the system's change of geometry at the barrier crossing and, therefore, are directly related, differentially, to the path lengths. The results of this work can enrich the accuracy with which we describe how complex systems relax to preferential structures.