Homogeneity value

This homogeneity value will become positive when the null hypothesis is not rejected by Fisher s E-test (F < Ei a)Vl)V2) and will be closer to 1 the more homogeneous the material is. If inhomogeneity is statistically proved by the test statistic F > Fi a>VuV2, the homogeneity value becomes negative. In the limiting case F = hom(A) becomes zero. 

The development of the miscibility gap for W < 0 and the antiphases ( Tjeq) for W > 0 have entirely different kinetic implications. For decomposition, mass flux is necessary for the evolution of two phases with differing compositions. Furthermore, interfaces between these two phases necessarily develop. The evolution of ordered phases from disordered phases (i.e., the onset of nonzero structural order parameters) can occur with no mass flux macroscopic diffusion is not necessary. Because the 77+q-phase is thermodynamically equivalent to the 7/iq-phase, the development of 77+q-phase in one material location is simultaneous with the evolution of r lq-phase at another location. The impingement of these two phases creates an antiphase domain boundary. These interfaces are regions of local heterogeneity and increase the free energy above the homogeneous value given by Eq. 17.14. The kinetic implications of macroscopic diffusion and of the development of interfaces are treated in Chapter 18. 

Effects of dopaminergic antagonists on dopamine-stimulated cAMP accumulation, adenylate cyclase activity, and calmodulin-stimulated phosphodiesterase (PDE) activity in intact bovine parathyroid cells or cellular homogenates. Values for or IC50 are given as uM. NT, not tested. 

The most striking first conclusions are the high Ggas values, which are 3-10 times as high as the corresponding homogeneous values. If it is taken... 

It is of interest that Reference 28 reports for the system Fe(CN)6 /Fe(CN)6 the homogeneous value 1.24 eV obtained by model calculation, which agrees well with the value presented above. As for the heterogeneous reorganization energy, the same paper reports, as it might be expected, a much lower value (0.4 eV) obtained from tunnel currents measured on heavily doped Sn02 electrodes. 

When 0= 0° this means that the liquid completely wets the solid, [(AGT)max]heterogeneous equals zero, and spontaneous heterogeneous nucleation occurs with no super-saturation at the equilibrium temperature. When 6 = 90° then [(AGT)max]heterogeneous is half the homogeneous value, and when 6= 180° both homo- and heterogeneous nucleation energy barriers are equal. 

Table 5 shows homogeneous values whatever the chosen model equation. More importantly, it also shows a very high value for the constant of PRT. We can appreciate values of kpRx around 1010 mor s l. This reaction is at least 100 times faster than that of bimolecular termination. 

There may exist a scale effect of homogenized value, which scale effect is inherent for fracture system. On the other hand, the size of element is dependent on the size of structure and objective of... 

Figures 1 through 3 show the calculated rninimum critical parameten. Note that homogeneous values calculated by Clark and by Chalmers are also included. Comments will be provided on the effect that hi er isotopes of plutonium have on the critical parameters presented.

The diagnostic core experiments have been accompanied by detailed analytical investigations of reactivity worths. It has been shown that a proper treatment of adjoint flux variations in the cells is very important in the calculations. Fuel worths are reduced by typically S% in the heterogeneous cells these corrections indicate that significant improvements can be made to the benchmark homogeneous values. 

However, since this approach assumes a constant, homogeneous value of the scalar order parameter, it fails to describe the core of topological defects, where P2 deviates from its bulk value on length scales of the order of The continuum theory for n also fails to describe multi-domain systems because it cannot handle the variation of P2 across domain boundaries. 

The invariants of similarity which are ratios of simple homogeneous values are called simplexes. 

The invariants of similarity could be also expressed not only as ratios of simple homogeneous values but also as ratios of more complicated heterogeneous values. For example, according to Newton s law the resultant force (/) acting on a given body is equal to the pr uct of its mass ( i) and... 

AG if nucleation is homogeneous. Values for the latent heat of fusion and surface free energy are -2.53 X 10 J/m and 0.255 J/m, respectively. Use the supercooling value found in Table 10.1. 

We emphasize that when the C component is absent (tj) = 0) the above model reduces to the well-known model for block copolymers [56-59] or reactive polymer blends [9,10]. In this case, the evolution of the reactive AB system is governed solely by Eq. (8.2) and the morphology of the mixture resembles the lamellar structure formed by micro phase-separated symmetric diblock copolymers [9]. (In the context of our work, we only consider reactive blends, and do not consider diblock copolymers.) When r+ = r = r for such reactive binary mixtures, a linear stability analysis gives the growth rate, w k), for the kth mode of the fluctuations of the order parameter around the homogeneous value cp = 0 as ... 

Finally, we note that a linear stability analysis of both Eqs. (8.3) and (8.4) for the ternary case gives a growth rate iVp(fe) for the ka, mode of the fluctuations of the second order parameter around the homogeneous value tp = 0 as ... 

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