Nodes on a token ring are rebalanced from an initial condition to a condition in which the load is optimally distributed based on a specified level of balance. Nodes are treated as electrically charged particles for purposes of the simulation and are assigned simulation values based on proportions between the size of the cluster, the computing power of the nodes, and the specified level of balance. A simulation module performs the rebalancing simulation by assigning the specified values to the particles and outputting, for each corresponding node, a token indicating the particle's final position and the position of the node on the token ring. The tokens are input to a redistribution module, which rebalances the cluster based on the generated tokens.