In order to understand the effects of ball mill diameter on the selection function, you need to have a look at Austin's scale-up model and interpret it accordingly.
Attached is my recent paper that provides a description of the scale-up model (see Equations 8 to 13).
You may want to check also the following somewhat related discussions: https://www.researchgate.net/post/iv_to_reduce_size_of_tungsten_in_ball_millIs_it_possible https://www.researchgate.net/post/How_can_I_determine_the_best_RPM_for_Dry_Ball_Milling_machine_in_order_to_let_the_balls_to_fall_from_the_best_angles