Temporal cut-offs

Eqnation (6) holds in a certain limited range of time bordered by temporal cut-offs r, i.e., inner cnt-off and onter cnt-off, which are... 

Beyond the temporal cut-offs, when the diffusing species hardly recognize the fractal character of the surface, the Cottrell relation in Eq. 

Lacr a et al, 2008), there is clear that the correlation factor parallels the spectral norm and temporal cut-off limits, in each reported case, including the experimental or measured situation. That is, as correlation factor increase as both spectral norm and cut-off time increase as well. 

The simulation uses a variable-time step method in order to simulate the kinetics over different Pd and PdAu surfaces [85]. The temporal behavior of all intermediates is explicitly tracked throughout the simulation. All atop, bridge, and 3-and 4-fold hollow sites are specifically followed as a function of time. The simulation follows all lateral and through-space interactions between coadsorbed intermediates within a cut off of two nearest-nearest neighbors. 

A characteristic feature of the size distribution function is the cut-off at > 1.5. The temporal changes in the particle size distribution of 1,2-dichloroethane-in-water emulsions were obtained by statistical analysis of the photomicrographs shown in Figure 9.1. The results are plotted as the size distribution function, and compared with the theoretical prediction based on LSW theory (Figure 9.4). Although small deviations from LSW theory were noted (i.e. the size distribution function broadens slightly), it is clear that the time-independent nature of the size... 

---