Study of the steady state of a two species annihilation process with separated reactants

MIGUEL LUIS HOYUELOS; HECTOR MÁRTIN,; EZEQUIEL ALBANO,

JOURNAL OF PHYSICS. A - MATHEMATICAL AND GENERAL

IOP Publishing

Año: 1995 vol. 28 p. 483 - 489

0305-4470

The steady-state behaviour of the irreversible reaction A+B -> C with separated reactants in one dimension is studied, when currents J of A and B particles are directed towards each other by means of an analytical approach. The interparticle distance distribution in the reaction front is derived. Fixing the reaction constant, and for large J, the process is limited by reaction and the average interparticle distance at the reaction front (lAB) behaves as lAB approximately J^-1. In the limit J -> 0 the process is limited by diffusion and the behaviour lAB approximately J^(-1/2) holds. The crossover between both regimes is well described analytically and the crossover current is found to be Jc=k^2/(pi D). These results are in excellent agreement with Monte Carlo simulation results.