Diffusion-controlled chemical reactions modeled by continuous-time random walks

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Abstract
In the kinetic theory of pseudo‐first‐order diffusion‐controlled chemical reactions, the diffusion motion of one component can be suppressed as long as the relative diffusion coefficient is assigned to the other component. The continuous‐time‐random‐walk (CTWR) treatment of the pseudo‐first‐order reactions reaffirmed this well‐known notion in the case of an exponential jump time distribution. In the case of a long‐tail jump time distribution of Scher–Montroll, the decay dynamics depends upon which component is assigned the role of random walker, especially at low survival fractions.

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