Abstract
We review our scaling results for the diffusion-limited reactions A + A → 0 and A+B→0 on Euclidean and fractal geometries. These scaling results embody the anomalies that are observed in these reactions in low dimensions; we collect these observations under a single phenomenological umbrella. Although we are not able to fix all the exponents in our scaling expressions from first principles, we establish bounds that bracket the observed numerical results.
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Lindenberg, K., Sheu, W.S. & Kopelman, R. Scaling properties of diffusion-limited reactions on fractal and euclidean geometries. J Stat Phys 65, 1269–1283 (1991). https://doi.org/10.1007/BF01049612
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DOI: https://doi.org/10.1007/BF01049612