Abstract
We study theoretically and numerically the steady state diffusion controlled reaction , where currents of and particles are applied at opposite boundaries. For a reaction rate , and equal diffusion constants , we find that when the reaction front is well described by mean-field theory. However, for , the front acquires a Gaussian profile—a result of noise induced wandering of the reaction front center. We make a theoretical prediction for this profile which is in good agreement with simulation. Finally, we investigate the intrinsic (nonwandering) front width and find results consistent with scaling and field theoretic predictions.
- Received 12 September 1995
DOI:https://doi.org/10.1103/PhysRevE.53.R2017
©1996 American Physical Society