Abstract
In this paper we study the transient diffusion-limited A+B→0, A0 = B0 annihilation via deterministic reaction-diffusion equations and via simulation of the stochastic many-particle problem. We show that the two approaches are not equivalent and that the deterministic expressions capture only part of the picture. A lower bound is derived for the density decay which indicates that the overall density follows the power law t-x with α = mm(d/4, 1). Hierarchical oscillations superimposed on the power-law decay are observed for reactions on Sierpinski gaskets.
Original language | English |
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Pages (from-to) | 1015-1023 |
Number of pages | 9 |
Journal | Journal of Statistical Physics |
Volume | 65 |
Issue number | 5-6 |
DOIs | |
State | Published - Dec 1991 |
Keywords
- A+B→0
- fractals