CROSSOVER TIME OF DIFFUSION-LIMITED REACTIONS ON A TUBULAR LATTICE - COMMENT

Li derived a scaling argument concerning the dimensional crossover of the bimolecular diffusion-limited A+B-->0 reaction in two-and three-di mensional tubular lattices, showing significant disagreements with Mon te Carlo simulations [Phys. Rev. E 55, 6646 (1997)]. Here we explain t hat 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 cr ossover (the Li case) and another where it only occurs after the cross over (the simulation case).