Partly quenched systems ionic

The correlation functions of the partly quenched system satisfy a set of replica Ornstein-Zernike equations (21)-(23). Each of them is a 2 x 2 matrix equation for the model in question. As in previous studies of ionic systems (see, e.g.. Refs. 69, 70), we denote the long-range terms of the pair correlation functions in ROZ equations by qij. Here we apply a linearized theory and assume that the long-range terms of the direct correlation functions are equal to the Coulomb potentials which are given by Eqs. (53)-(55). This assumption represents the mean spherical approximation for the model in question. Most importantly, (r) = 0 as mentioned before, the particles from different replicas do not interact. However, q]f r) 7 0 these functions describe screening effects of the ion-ion interactions between ions from different replicas mediated by the presence of charged obstacles, i.e., via the matrix. The functions q j (r) need to be obtained to apply them for proper renormalization of the ROZ equations for systems made of nonpoint ions. 

Several cases in which excited ions are deactivated on collision have already been discussed in previous sections and are included in Tables I and II. Collisional deactivation of electronically excited ions (i.e., quenching of metastable states) quite likely occurs in competition with many of the reactive channels shown in Table I, although it has been specifically studied or discussed for only a few systems. Collisional deactivation is at east partly responsible for attenuation of the ion beam when the attenuation technique (described earlier) is employed to determine the abundance of electronically excited ionic states. 

---