The analysis of redshift surveys with fractal tools requires one to apply some form of statistical correction for galaxies lying near the geometric boundary of the sample. In this paper we compare three different methods of performing such a correction upon estimates of the correlation integral in order to assess the extent to which estimates may be biased by boundary terms. We apply the correc...

Understanding critical properties of non-equilibrium processes [1] is still a challenging problem of contemporary statistical physics. Of particular interest (both theoretical and practical) are the dynamical growth phenomena. The model for the two-dimensional (2D) growth (Diffusion Limited Aggregation) was introduced almost thirty years ago by Witten and Sander [2]. Structures grown by DLA loo...

It is considered the model of the universe in which the scales of length, time and mass are related by the special relativity constant c, by the Newton gravity constant G and by the quantum mechanics constant ¯ h. The model meets constraints from the current age of the universe, from the high-redshift supernovae data, and from primordial nucleosynthesis. The model predicts the fractal structure...

Abstract Fractal dimension can be used to the pore surface characterize. For structures in different sizes, calculation models of fractal theory should distinguished due principles gas adsorption experiments. To further study adaptability model for experimental data, author collected shale samples Longmaxi formation from Well JY1, then CO 2 and N provided PSD curves. In addition, dimensions mic...

We prove that the hierarchical fractal model recently proposed for describing the stretched polymers [A. N. Samukhin et al, Phys. Rev. Lett. 78, 326(1997)] is equivalent to a one-dimensional chain with hierarchical aperiodic structure. By use of the transfer matrix technique we calculate the electronic transmission and the dc conductance. We find that there exist sharp-edged transmission subban...

The diffusion of fractal aggregates constructed with the method by Thouy and Jullien [J. Phys. A 27, 2953 (1994)] comprised of N(p) spherical primary particles was studied as a function of the aggregate mass and fractal dimension using molecular dynamics simulations. It is shown that finite-size effects have a strong impact on the apparent value of the diffusion coefficient (D), but these can b...

The following full text is a preprint version which may differ from the publisher's version. Abstract: We study the critical probability p c (M) in two-dimensional M-adic fractal percolation. To find lower bounds, we compare fractal perco-lation with site percolation. Fundamentally new is the construction of an computable increasing sequence that converges to p c (M). We prove that p c (2) > 0....

It is well known that the permeability and density of an aggregate decreases with its size, affecting its settling velocity and coagulation rate (rate of particle capture) with other particles. This change in aggregate density with size can be described by fractal scaling relationships. Two distinctly different fractal scaling approaches, however, have been used to describe aggregate permeabili...

We discuss the Brouers-Sotolongo fractal (BSf) kinetics model. This formalism interpolates between the first and second order kinetics. But more importantly, it introduces not only a fractional order n but also a fractal time parameter a which characterizes the time variation of the rate constant. This exponent appears in non-exponential relaxation and complex reaction models as demonstrated by...

A fast method is presented for simulating the dielectric-breakdown model using iterated conformal mappings. Numerical results for the dimension and for corrections to scaling are in good agreement with the recent renormalization group prediction of an upper critical eta(c) = 4, at which a transition occurs between branching fractal clusters and one-dimensional nonfractal clusters.