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

Debabrata Panja; Goutam Tripathy; Wim van Saarloos

doi:10.1103/physreve.67.046206

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

Debabrata Panja·Goutam Tripathy·Wim van Saarloos

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Abstract

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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Debabrata Panja, Goutam Tripathy, Wim van Saarloos. 2003-01-29. Front Propagation and Diffusion in the A <--> A + A Hard-core Reaction on a Chain. https://doi.org/10.1103/physreve.67.046206

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