Application of the Diffusion Theory to the Bimolecular Reactions

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Abstract
The solution of the nonlinear diffusion equation describing the process of recombination can be reduced to the solution of two more common equations—one linear diffusion equation without the recombinational member and one nonlinear equation which can be easily integrated. The proportion of recombinations between "congeneric" and "foreign" pairs, i.e., the role of monomolecularity or bimolecularity in the recombination process, is taken into account automatically by the initial conditions. In the later stage (if the excitation is uniform over the whole volume) the recombination process is simply bimolecular. At the decrease of the excitation the monomolecularity increases but never reaches a value of 100%. In the case of the stationary weak excitation the concentration of divided particles is proportional to the square root of the intensity of the excitation.

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