Drift in the potential field

In the case of particle interaction described by their drift in potential, the black sphere model again allows us to obtain a simple solution of the kinetics sought for. Imposing the boundary conditions, equation (3.2.17) and (oo, t) = 0, as well as the initial condition (3.2.14) on the motion equation 

Here Z(r) = 4irDui r,0) is a solution of the following inhomogeneous equation  

Equation (3.2.35) could be transformed into a form more convenient for further analysis [71]  

It is shown below (Chapter 4) that its solution is also important for the bimolecular stage of a reaction defining a stationary recombination profile. The second linearly independent solution of this equation could be expressed through y r) as 

From pair kinetics toward the many-reactant problem 

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