Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-09-23
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.
Panja Debabrata
Saarloos Wim van
Tripathy Goutam
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