Equally mobile A and B particles

Of greater interest is the behaviour of the joint correlation functions presented in Fig. 6.35(b). At any reaction time XQ r,t) Xfi, r,t) holds now an increase of the maximum of Xa(t-, t) in time is very slow. According to the above-given estimates for neutral non-interacting particles, it has a logarithmic character  

The deviation of the joint correlation function Ab from Xa arises due to the additional effect of the dynamic aggregation, which is observed mainly at the relative distances r r. It follows from equation (6.3.6), that the 

The whole reaction volume at long times may be qualitatively considered as consisting of domains with the linear size each domain has particles of one kind only, A or B. Particles A are distributed inside such domains randomly (which follows from the fact that X (r, t) const, as r 0- In 

Therefore, in the symmetric situation. Dp, = D, the recombination kinetics may be also separated into two subsequent stages of dynamic and statistical aggregation. At long times the particle density in these aggregates (domains), characterized by the maximum values of the correlation functions Xi, r 0,t), is not very high. The reaction rate is governed by the ratio of two distinctive spatial scales — and r.  

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