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Scaling properties of diffusion-limited reactions on fractal and euclidean geometries |
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| Authors: | Katja Lindenberg Wen -Shyan Sheu Raoul Kopelman |
| Institution: | (1) Department of Chemistry 0340, University of California at San Diego, 92093 La Jolla, California;(2) Institute for Nonlinear Science 0402, University of California at San Diego, 92093 La Jolla, California;(3) Present address: Department of Chemistry, University of Texas, 78712 Austin, Texas;(4) Departments of Chemistry and Physics, University of Michigan, 48109 Ann Arbor, Michigan |
| Abstract: | We review our scaling results for the diffusion-limited reactions A + A  0 and A+B0 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. |
| Keywords: | Diffusion-limited reactions fractals scaling aggregates |
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