Comment on “Crossover time of diffusion-limited reactions on a tubular lattice”

Abstract

Li derived a scaling argument concerning the dimensional crossover of the bimolecular diffusion-limited $A+B\ensuremath{\rightarrow}0$ reaction in two- and three-dimensional tubular lattices, showing significant disagreements with Monte Carlo simulations [Phys. Rev. E 55, 6646 (1997)]. Here we explain that this apparent discrepancy originates from the finite-size effects related to the short dimensions of the tubes. Depending on tube width, two different cases arise: one where segregation occurs before the crossover (the Li case) and another where it only occurs after the crossover (the simulation case).