Av. Barzykin et al., Theory of diffusion-assisted reactions on micelle surfaces: Photoinduced electron transfer followed by back transfer, J PHYS CH B, 103(43), 1999, pp. 9156-9160
A general theory of diffusion-assisted irreversible reactions on micelle su
rfaces is presented. An exact solution for the experimental observables is
given in a matrix form in terms of the eigenmodes of the diffusion operator
in the same geometry but without interaction potential and reaction. Photo
induced electron transfer followed by back transfer is considered in detail
as a practically important example of reaction. Excellent agreement of the
matrix solution with the numerical solution of the corresponding partial d
ifferential equations via a standard discretization procedure is observed f
or typical sets of parameter values.