Velocity and diffusion coefficient of $A+A\leftrightarrow A$ reaction fronts in one dimension

Abstract

We study front propagation in the reversible reaction-diffusion system A + A <-> A on a 1-d lattice. Extending the idea of leading particle in studying the motion of the front we write a master equation in the stochastically moving frame attached to this particle. This approach provides a systematic way to improve on estimates of front speed obtained earlier. We also find that the leading particle performs a correlated random walk and this correlation needs to be taken into account to get correct value of the front diffusion coefficient.

5 pages, 6 figures

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Cited by in corpus (1)

• Two site self consistent method for front propagation in reaction-diffusion system