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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 Aparticle is allowed at any time. In this paper, we analyze the problem in thefull range of parameter space, keeping the discrete nature of the lattice andthe particles intact. Our analysis of the stochastic dynamics of the foremostoccupied lattice site yields simple expressions for the front speed and thefront diffusion coefficient which are in excellent agreement with simulationresults.Comment: 5 pages, 5 figures, to appear in Phys. Rev.

physical review. e, statistical physics, plasmas, fluids, and related interdisciplinary topics

Front propagation and diffusion in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>A</mml:mi><mml:mi>⇆</mml:mi><mml:mi>A</mml:mi><mml:mo>+</mml:mo><mml:mi>A</mml:mi></mml:math>hard-core reaction on a chain

Front propagation and diffusion in theA⇆A+Ahard-core reaction on a chain