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Kinetic roughening and interacting reacting species: Nonlinear aspects. (English) Zbl 0925.92132

Summary: We consider the \(A+B\to 0\) reaction, in which particles interact through shortrange forces. The analysis leads to expressions akin in form to those which describe kinetic roughening. In a situation in which particles are generated with a constant rate \(j_0\), their concentration \(n(t)\) grows as \(j_0^\beta t^\gamma\) in \(d=1\). Here the theoretical analysis predicts \(\gamma= 1/5\) and \(\beta= 2/5\), in very good agreement with direct Monte-Carlo simulations of the reaction-diffusion process.

MSC:

92E20 Classical flows, reactions, etc. in chemistry
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