Possible fractal structure of exact universal exchange?correlation potential
نویسندگان
چکیده
منابع مشابه
Three-dimensional Microvascular Networks Fractal Structure: Potential for Tissue Characterization?
It has been shown that the fractal dimension of 2D microvascular networks can discriminate between normal vs. tumor tissue (Gazit et al., 1995, 1997). We have determined the fractal characteristics of five 3D microvascular networks and conclude on the correlation between the computed fractal characteristics and the nature of the tissue of origin. The networks considered in the fractal analysis ...
متن کاملUniversal fractal scaling of self-organized networks.
There is an abundance of literature on complex networks describing a variety of relationships among units in social, biological, and technological systems. Such networks, consisting of interconnected nodes, are often self-organized, naturally emerging without any overarching designs on topological structure yet enabling efficient interactions among nodes. Here we show that the number of nodes a...
متن کاملUniversal fractal time of biological growth
The West-Brown-Enquist universal growth curve has been mapped on the power law function with the time-dependent scaling factor and exponent representing the temporal fractal dimension of the growth of species like mammals, birds, fish, crustaceans, regardless of taxon, cellular metabolic rate and body size. The results obtained permit formulation of three important rules governing the biologica...
متن کاملFractal structure of sprites
A large scale model of sprites based on a phenomenological probabilistic approach to modeling of streamer corona discharges is developed. The model utilizes the experimentally documented macroscopic properties of positive and negative streamer corona in air and allows a realistic determination of the propagation of multiple breakdown branches in a self-consistent electric field. The model resul...
متن کاملFractal Structure of Random Matrices ∗
A multifractal analysis is performed on the universality classes of random matrices and the transition ones. Our results indicate that the eigenvector probabi;ity distribution is a linear sum of two χ 2-distribution throughout the transition between the universality ensembles of random matrix theory and Poisson.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Chaos, Solitons & Fractals
سال: 2004
ISSN: 0960-0779
DOI: 10.1016/s0960-0779(04)00241-3