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

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.

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

References in corpus (3)

• The Weakly Pushed Nature of "Pulled" Fronts with a Cutoff
• Fronts with a Growth Cutoff but Speed Higher than $v^{\ast }$
• Fluctuating "Pulled" Fronts: the Origin and the Effects of a Finite Particle Cutoff

Cited by in corpus (6)

• Front propagation into unstable states
• Effects of Fluctuations on Propagating Fronts
• A generalized Cahn-Hilliard equation for biological applications
• Emergence of pulled fronts in fermionic microscopic particle models
• Velocity and diffusion coefficient of $A+A\leftrightarrow A$ reaction fronts in one dimension
• Two site self consistent method for front propagation in reaction-diffusion system