Percolation dipole correlation function

Figure 9. The three-dimensional plot of experimental dipole correlation function versus time and temperature. The percolation threshold temperature Tp = 26.5°C. (Reproduced with permission from Ref. 47. Copyright 1996, The American Physical...

Figure 10. The dipole correlation function v /(f/T,-) demonstrates power-law behavior for the temperature region near the percolation onset (Ton — 12°C). (Reproduced with permission from Ref. 2. Copyright 2002, Elsevier Science B.V.)...

The dielectric relaxation at percolation was analyzed in the time domain since the theoretical relaxation model described above is formulated for the dipole correlation function T(f). For this purpose the complex dielectric permittivity data were expressed in terms of the DCF using (14) and (25). Figure 28 shows typical examples of the DCF, obtained from the frequency dependence of the complex permittivity at the percolation temperature, corresponding to several porous glasses studied recently [153-156]. 

The typical decay behavior of the dipole correlation function of the microemulsion in the percolation region is presented at Fig. 24. Figure 25 shows the temperature dependence of the effective relaxation time, defined within the fractal parameters, and corresponding to the macroscopic relaxation time Tjjj of the KWW model. In the percolation threshold T, the exhibits a maximum and reflects the well-known critical slowing down effect (131). 

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