Abstract
We analyze the limiting behavior of the densities ρA(t) and ρB(t) for the diffusion controlled chemical reaction A + B → inert. We prove that for equal initial densities ρA(0)=ρB(0) there is a change in behavior from d ≤4, where ρA(t)=ρB(t)∼ C t d 4, to d≥4, where ρA(t)=ρB(t)∼ C t as t→∞. For unequal initial densities ρA(t)(0)<ρB(0), ρA(t)∼e -C t in d=1, ρA(t)∼e-Ct/log t in d=2, ρA(t)∼e-Ct in d≥3. The term C depends on the initial densities and changes with d.
Original language | English (US) |
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Pages (from-to) | 88-94 |
Number of pages | 7 |
Journal | Physica A: Statistical Mechanics and its Applications |
Volume | 168 |
Issue number | 1 |
DOIs | |
State | Published - Sep 1 1990 |
Externally published | Yes |
Bibliographical note
Funding Information:Supported in part by NSF Grant DMS 89-01545. 2 Supported in part by NSF Grant DMR 89-18903.