Front Propagation and Diffusion in the A <--> A + A Hard-core Reaction on a Chain

Details Front Propagation and Diffusion in the A <--> A + A Hard-core Reaction on a Chain Front Propagation and Diffusion in the A <--> A + A Hard-core Reaction on a Chain

2002-09-23

arxiv.org/abs/cond-mat/0209514v3

Phys. Rev. E 67, 046206 (2003)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures, to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.67.046206

We study front propagation and diffusion in the reaction-diffusion system A $\leftrightharpoons$ A + A on a lattice. On each lattice site at most one A particle is allowed at any time. In this paper, we analyze the problem in the full range of parameter space, keeping the discrete nature of the lattice and the particles intact. Our analysis of the stochastic dynamics of the foremost occupied lattice site yields simple expressions for the front speed and the front diffusion coefficient which are in excellent agreement with simulation results.

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