Lattice Kinetics of Diffusion-Limited Coalescence and Annihilation with Sources

Abstract

We study the 1D kinetics of diffusion-limited coalescence and annihilation with back reactions and different kinds of particle input. By considering the changes in occupation and parity of a given interval, we derive sets of hierarchical equations from which exact expressions for the lattice coverage and the particle concentration can be obtained. We compare the mean-field approximation and the continuum approximation to the exact solutions and we discuss their regime of validity.

24 pages and 3 eps figures, Revtex, accepted for publication in J. Phys. A

References in corpus (1)

• A Method of Intervals for the Study of Diffusion-Limited Annihilation, A + A --> 0

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