The non-linear correlation dynamics

In this Section we consider again the kinetics of bimolecular A + B 0 recombination but instead of the linearized approximation discussed above, the complete Kirkwood superposition approximation, equation (2.3.62) is used which results in emergence of two new joint correlation functions for similar particles, Xu r,t), u = A,B. The extended set of the correlation functions, 71 (1), XB r,t) and Y r,t) is believed to be able 

Substitution of equation (2.3.62) into a set of equations (4.1.13) to (4.1.16) for noncharged (neutral) particles = 0) does not affect equa- 

When obtaining this final form, the integration variable was changed in (5.1.1). 

For the compactness of equations (5.1.2) to (5.1.4), the functional (spatial convolution) has been introduced above as 

Taking into account that r = (r + r — 2rr cosi9) /, where i9 is an angle between r and r, the mean value in equation (5.1.8) could be easily calculated. In doing so we arrive at  

---