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Diffusion-limited reaction A+A->inert with anisotropic hopping on the d=1lattice, is solved exactly for a simultaneous updating, discrete time-stepdynamics. Diffusion-dominated processes slow down as the anisotropy increases.For large times or large anisotropy, one can invoke the appropriate continuumlimits. In these limits the effects of the anisotropy on variation of particledensity can be absorbed in time rescaling. However, in other regimes, when thediscreteness of the time steps is nonnegligible, the anisotropy effects arenontrivial, although they are always quite small numerically.Comment: 13 pages, TeX (plain) + 2 figures, Postscrip

Discrete to continuous-time crossover due to anisotropy in diffusion-limited two-particle annihilation reactions