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

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

2006-07-17

arxiv.org/abs/cond-mat/0607417v1

Physics

Condensed Matter

Statistical Mechanics

6 figures

Scientific paper

We study front propagation in the reaction diffusion process $A\leftrightarrow2A$ on one dimensional lattice with hard core interaction between the particles. We propose a two site self consistent method (TSSCM) to make analytic estimates for the front velocity and are in excellent agreement with the simulation results for all parameter regimes. We expect that the simplicity of the method will allow one to use this technique for estimating the front velocity in other reaction diffusion processes as well.

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