 92112 Privman , Vladimir
 DISCRETE TO CONTINUOUSTIME CROSSOVER DUE TO ANISOTROPY
IN DIFFUSIONLIMITED TWOPARTICLE ANNIHILATION REACTIONS
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Sep 18, 92

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Abstract. Diffusionlimited reaction A+A>inert with anisotropic hopping
on the d=1 lattice, is solved exactly for a simultaneous updating,
discrete timestep dynamics. Diffusiondominated processes slow
down as the anisotropy increases. For large times or large anisotropy,
one can invoke the appropriate continuum limits. In these limits
the effects of the anisotropy on variation of particle density can be
absorbed in time rescaling. However, in other regimes, when the
discreteness of the time steps is nonnegligible, the anisotropy
effects are nontrivial, although they are always quite small
numerically.
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