56 citations · 265 across the 14 of their papers we have counts for
14 papers
The influence of packing protocol, size ratio, and pore structure on fractal exponents in dense polydisperse packings
Artem A. Vladimirov, Alexander Yu. Cherny, Eugen M. Anitas +1
We study fractal properties of systems of densely and randomly packed disks, obeying a power-law distribution of radii, which is generated by using various protocols: Delaunay tria…
Dense Random Packing of Disks With a Power-Law Size Distribution in Thermodynamic Limit: Fractal-like Properties
Alexander Yu. Cherny, Eugen M. Anitas, Artem A. Vladimirov +1
The correlation properties of a random system of densely packed disks, obeying a power-law size distribution, are analyzed in reciprocal space in the thermodynamic limit. This limi…
Dense random packing with a power-law size distribution: the structure factor, mass-radius relation, and pair distribution function
Alexander Yu. Cherny, Eugen M. Anitas, Vladimir A. Osipov
We consider dense random packing of disks with a power-law distribution of radii and investigate their correlation properties. We study the corresponding structure factor, mass-rad…
Revised scattering exponents for a power-law distribution of surface and mass fractals
Alexander Yu. Cherny, Eugen M. Anitas, Vladimir A. Osipov +1
We consider scattering exponents arising in small-angle scattering from power-law polydisperse surface and mass fractals. It is shown that a set of fractals, whose sizes are distri…
The structure of deterministic mass and surface fractals: theory and methods of analyzing small-angle scattering data
A. Yu. Cherny, E. M. Anitas, V. A. Osipov +1
Small-angle scattering (SAS) of X-rays, neutrons or light from ensembles of randomly oriented and placed deterministic fractal structures are studied theoretically. In the standard…
Small-angle scattering from the Cantor surface fractal on the plane and the Koch snowflake
A. Yu. Cherny, E. M. Anitas, V. A. Osipov +1
The small-angle scattering (SAS) from the Cantor surface fractal on the plane and Koch snowflake is considered. We develop the construction algorithm for the Koch snowflake, which…
The structure factor of fat deterministic Vicsek fractals: a small-angle scattering study
E. M. Anitas
We study here the small-angle scattering structure factor for deterministic fat fractals in the reciprocal space. It is shown that fat fractals are exact self-similar in the range…
Scattering from surface fractals in terms of composing mass fractals
A. Yu. Cherny, E. M. Anitas, V. A. Osipov +1
We argue that a finite iteration of any surface fractal can be composed of mass-fractal iterations of the same fractal dimension. Within this assertion, the scattering amplitude of…
Structural properties of fractals with positive Lebesgue measures
Eugen M. Anitas
Small-angle scattering (SAS) data which show a succession of power-law decays with decreasing values of scattering exponents, can be described in terms of fractal structures with p…
Small-angle scattering from fat fractals
Eugen M. Anitas
A number of experimental small-angle scattering (SAS) data are characterized by a succession of power-law decays with arbitrarily decreasing values of scattering exponents. To desc…
Small-angle scattering from three-phase systems: Investigation of the crossover between mass fractal regimes
Eugen M. Anitas, Alexander Yu. Cherny, Vladimir A. Osipov +1
In this paper, we construct a three-phase model (that is, a system consisting of three homogeneous regions with various scattering length densities), which illustrate the behavior…
Small-angle scattering from multi-phase fractals
A. Yu. Cherny, E. M. Anitas, V. A. Osipov +1
Small-angle scattering (SAS) intensities observed experimentally are often characterized by the presence of successive power-law regimes with various scattering exponents whose val…
Deterministic fractals: extracting additional information from small-angle scattering data
A. Yu. Cherny, E. M. Anitas, V. A. Osipov +1
The small-angle scattering curves of deterministic mass fractals are studied and analyzed in the momentum space. In the fractal region, the curve I(q)q^D is found to be log-periodi…
The scattering from generalized Cantor fractals
A. Yu. Cherny, E. M. Anitas, A. I. Kuklin +2
We consider a fractal with a variable fractal dimension, which is a generalization of the well known triadic Cantor set. In contrast with the usual Cantor set, the fractal dimensio…