Sokolov, I. M.; Argyrakis, P.; Blumen, A. Kinetic roughening and interacting reacting species: Nonlinear aspects. (English) Zbl 0925.92132 Fractals 1, No. 3, 470-474 (1993). 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 PDFBibTeX XMLCite \textit{I. M. Sokolov} et al., Fractals 1, No. 3, 470--474 (1993; Zbl 0925.92132) Full Text: DOI