Three-Species Diffusion-Limited Reaction with Continuous Density-Decay Exponents
نویسندگان
چکیده
We introduce a model of three-species two-particle diffusion-limited reactions A + B → A or B, B + C → B or C, and C + A → C or A, with three persistence parameters (survival probabilities in reaction) of the hopping particle. We consider isotropic and anisotropic diffusion (hopping with a drift) in 1d. We find that the particle density decays as a power-law for certain choices of the persistence parameter values. In the anisotropic case, on one symmetric line in the parameter space, the decay exponent is monotonically varying between the values 1/3 and 1/2. On another, less symmetric line, the exponent is constant. For most parameter values, the density does not follow a power-law. We also calculated various characteristic exponents for the distance of nearest particles and domain structure. Our results support the recently proposed possibility that 1d diffusion-limited reactions with a drift do not fall within a limited number of distinct universality classes. PACS: 82.20.Mj, 05.70.Ln, 02.50.-r, 68.10.Jy
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