Abstract
We study a system in which diffusing particles (species A) are injected into a reactive d-dimensional substrate (species B) at rate λ, with the rule that A+B→C (inert). The amount of species C, C(t), and the number of surviving A particles, A(t), are calculated for substrate dimensions d=1, 2, and 3. We find the surprising results A(t)∼ for d=3 and C(t)∼ √t lnt for d=1. We confirm our predictions by performing Monte Carlo simulations for d=1, 2, and 3 and experiments for the reaction +→ for d=2.
- Received 27 July 1992
DOI:https://doi.org/10.1103/PhysRevLett.70.1461
©1993 American Physical Society