Abstract
We study the kinetics of the A+A→0 and the A+B→0 diffusion-limited reactions by modeling the dynamics through random walks on ultrametric spaces, which allow to account for energetic randomness and to incorporate effects due to changes in temperature. We treat both pseudounimolecular (target and trapping) problems, as well as bimolecular reactions, and we compare the results to those which obtain for reactions on regular lattices and on fractals. Furthermore we analyze the possibility of describing reactions on ultrametric spaces through extensions of Smoluchowski-type approaches, and we show the limitations of such schemes when, as a function of temperature and of the reaction progress, the fluctuations in the particle densities get large.
Original language | English |
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Pages (from-to) | 6679-6686 |
Number of pages | 8 |
Journal | The Journal of Chemical Physics |
Volume | 84 |
Issue number | 12 |
DOIs | |
State | Published - 1986 |
Externally published | Yes |