A modeling of the soil structure and surface roughness by means of the concepts of the fractal growth is presented. Two parameters are used to control the model: the fragmentation dimension, Df , and the maximum mass of the deposited aggregates, Mmax. The fragmentation dimension is related to the particle size distribution through the relation N(r ≥ R) ∼ Rf , where N(r ≥ R) is the accumulative ...

We present a unified scaling theory for the structural behavior of polymers embedded in a disordered energy substrate. An optimal polymer configuration is defined as the polymer configuration that minimizes the sum of interacting energies between the monomers and the substrate. The fractal dimension of the optimal polymer in the limit of strong disorder (SD) was found earlier to be larger than ...

In this study, a fractal, Y-shaped dual-mode resonator bandpass filter (BPF) with input-output cross-coupling is introduced. A parallel-coupling feed structure with a cross coupling has been used to generate two transmission zeroes (TZs) near the lower and upper cutoff frequency that can effectively improve the passband edge selectivity. Also, a fractal shaped based on conventional diamond and ...

If G is a graph and n a positive integer, then the generalized Sierpiński graph S G is a fractal-like graph that uses G as a building block. The construction of S G generalizes the classical Sierpiński graphs S n p , where the role of G is played by the complete graph Kp. An explicit formula for the number of connected components in S G is given and it is proved that the (edge-)connectivity of ...

In gold (Au) exploration, the analysis of both bulk leach extractable (BLEG) and acid-extractable Au in <180μm stream sediment fraction are two most common approaches. The Eskişehir- Sivrihisar region Western Türkiye hosts several orogenic type mineral deposits. purpose this study is to delineate geochemical anomalies ore-related elements track their dispersion, which may lead discovery unknown...

in this work, sio2 –zro2 mixed oxides was prepared by the polymeric sol–gel route. the characterization of pore structure, which determines the permeation process of membrane, is of great importance. so far, most investigations have focused on such pore structure as specific surface area and pore size distribution, but the surface fractal, the important parameter reflecting the roughness of por...

In-line holographic microscopy images of micrometer-scale fractal aggregates can be interpreted with an effective-sphere model to obtain each aggregate's size and the population-averaged fractal dimension. We demonstrate this technique experimentally using model fractal clusters of polystyrene nanoparticles and fractal protein aggregates composed of bovine serum albumin and bovine pancreas insu...