In this paper we describe a new multiscale model for char acterizing positive valued and long range dependent data The model uses the Haar wavelet transform and puts a con straint on the wavelet coe cients to guarantee positivity which results in a swift O N algorithm to synthesize N point data sets We elucidate our model s ability to capture the covariance structure of real data study its mult...

Heat transfer by electromagnetic radiation is one of the common methods of energy transfer between objects. Using the fluctuation-dissipation theorem, we have studied the effect of particle arrangement in the transmission of radiative heat in many-body systems. In order to show the effect of the structure morphology on the collective properties, the radiative heat transfer is studied and the re...

many studies suggested that fractals could be brought in any structural anarchy, such as cancers, for diagnosis and prognosis evaluation by quantifying it and expressing it in terms of fractal geometry. in this study, we aimed to evaluate pathologic grades or breast carcinomas by fractal analysis. this cross-sectional study was performed on 60 women with breast ductal carcinoma. from all the pa...

Theory is developed that relates the reactivity of nanoparticles to the structure of aggregates they may form in suspensions. This theory is applied to consider the case of reactive oxygen species (ROS) generation by photosensitization of C(60) fullerenes. Variations in aggregate structure and size appear to account for an apparent paradox in ROS generation as calculated using values for the ph...

In this paper, the fractal dimensions are proposed for characterizing the optical fiber corrosion sensors, which is applied to measure the steel corrosion based on Fe-C alloy film. Because corrosion was a complex random phenomenon and the corrosion surface of Fe-C alloy film of the optical fiber corrosion sensor possessed fractal characteristics, the image fractal dimensions is as a quantitativ...

Dilute oil dispersions of fractal carbon black particles with attractive van der Waals interactions display continuous shear thickening followed by shear thinning at high shear rates. The shear thickening transition occurs at gamma c approximately 10(2)-10(3) s(-1) and is driven by hydrodynamic breakup of clusters. Pre-shearing dispersions at shear rates gamma>gamma c produces enhanced-modulus ...

introduction: water and soil retention curve is one of the most important properties of porous media to obtain in a laboratory retention curve and time associated with errors. for this reason, researchers have proposed techniques that help them to more easily acquired characteristic curve. one of these methods is the use of fractal geometry. determining the relationship between particle size di...

1 I n t r o d u c t i o n The aim of geometric modeling is to model forms by manipulating or combining well-known shapes such as circles and boxes. In order to be convenient such a model should allow easy control and manipulation of the final shape. When dealing with fractal geometric modeling, the control on ffactal figures is not so easily achieved as with classical smooth ones. The difficult...