title: Front propagation in one-dimensional autocatalytic reactions: the breakdown of the classical picture at small particle concentrations
abstract: The autocatalytic scheme A+B-->2A in a discrete particle system is studied in one dimension via Monte Carlo simulations. We find considerable differences in the results for the front velocities and front forms compared to the classical, continuous picture, which is only valid in the limit of very small reaction probabilities p. Interestingly, we also obtain front propagation velocities fairly below the classical minimal velocity.
authors.affiliation: Theoretische Polymerphysik, Universitat Freiburg, Hermann-Herder Strasse 3, D-79104 Freiburg im Breisgau, Germany.
authors.initials: J
authors.lastname: Mai
authors.initials: IM
authors.lastname: Sokolov
authors.initials: A
authors.lastname: Blumen