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

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

2005-05-24

arxiv.org/abs/cond-mat/0505599v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 6 figures

Scientific paper

10.1103/PhysRevE.74.011109

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.

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