| Issue |
Europhys. Lett.
Volume 44, Number 1, October I 1998
|
|
|---|---|---|
| Page(s) | 7 - 12 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i1998-00427-7 | |
| Published online | 01 September 2002 | |
Discreteness effects on the front propagation in the 
reaction in 3 dimensions
Theoretical Polymer Physics, University of Freiburg, Hermann-Herder-Str.3, D-79104 Freiburg i.Br., Germany
Received:
26
March
1998
Accepted:
13
August
1998
We consider numerically the front propagation in a three-dimensional, diffusion-controlled
autocatalytic reaction. We show that the interplay between local and global
ordering phenomena strongly affects the reaction kinetics, and that it leads
to the breakdown of the classical continuous scheme (described by the Fisher equation)
even at quite small concentrations of reactants. Discreteness aspects lead
to considerable deviations of the simulated behavior of chemical fronts from
the continuous scheme predictions, especially in what the fronts' structure
and their propagation velocities are concerned.
PACS: 05.40.+j – Fluctuation phenomena, random processes, and Brownian motion / 82.20.Mj – Nonequilibrium kinetics / 82.65.-i – Surface and interface chemistry
© EDP Sciences, 1998
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