Physical properties anomalous diffusion

Tn the critical region of mixtures of two or more components some physical properties such as light scattering, ultrasonic absorption, heat capacity, and viscosity show anomalous behavior. At the critical concentration of a binary system the sound absorption (13, 26), dissymmetry ratio of scattered light (2, 4-7, II, 12, 23), temperature coefficient of the viscosity (8,14,15,18), and the heat capacity (15) show a maximum at the critical temperature, whereas the diffusion coefficient (27, 28) tends to a minimum. Starting from the fluctuation theory and the basic considerations of Omstein and Zemike (25), Debye (3) made the assumption that near the critical point, the work which is necessary to establish a composition fluctuation depends not only on the average square of the amplitude but also on the average square of the local... 

Conclusions. Equation (593) brings to an end our long discussion of anomalous diffusion. Throughout its course we have seen that the characteristic feature of random inhomogeneous structures and the physical processes taking place in them is their hierarchy causing in turn anomalous behavior of their physical properties on the macrolevel, namely, anomalous large spatial fluctuations of local electric and elastic fields. 

The ultrathin fibrillar structures (fibers, medical threads, meshes, mats and scaffolds) are of utmost interest as the modem functional materials with specific properties such as the high surfaceA olume ratio of a single filament, effective surface modification, special physical-chemical behavior, and anomalous diffusion [1-5]. At the present time ultrathin fibers and articles on their base are efficiently applicable in biomedicine, tissue engineering, in filtration and separation processes, for composite design, in electronics, analytical supplies, sensor-based diagnostics, and in other iimovative applications [6-9]. 

This function accounts for the mesoscale region and comprises most of the listed distribution functions [154]. It includes three empirical parameters, a, pK, and aw. Having ascertained the relationships between these parameters and the properties of anomalous self-diffusion, fractal morphology, and polydispersity of the finite pore-size, physical significance can be assigned to these parameters in the framework of the percolation models [152],... 

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