Diffusion-influenced reversible geminate recombination in one dimension. II. Effect of a constant field

The diffusion-influenced reversible geminate-pair recombination problem is solved exactly in one dimension, in the presence of a constant external fie ld. As the field strength changes sign, the long time asymptotics of the co mponents of the Green function solution show a primary kinetic transition, in which the equilibrium values are changed. At two other critical values o f the external field the approach to equilibrium changes, from a t(-3/2) po wer-law to exponential. At the three critical fields, asymptotic t(-1/2) de cay prevails. (C) 2001 American Institute of Physics.