This paper reports the experimental determination of the growth exponents and activation enthalpies for the ordering process of standing cylinder-forming all-organic polystyrene-block-poly (methyl methacrylate) block copolymer (BCP) thin films as a function of the BCP degree of polymerization (N). The maximum growth exponent of 1/3 is observed for the BCP with the lowest N at the border of the order-disorder transition. Both the growth exponents and the activation enthalpies exponentially decrease with the BCP segregation strength (\ensuremath{\chi}N) following the same path of the diffusivity.