activity
20092022
most citedDeterministic fractals: extracting additional information from small-angle scattering data

56 citations · 210 across the 10 of their papers we have counts for

collaborators

10 papers

cond-mat.soft2022

Electrical, elastic properties and defect structures of isotactic polypropylene composites doped with nanographite and graphene nanoparticles

L. V. Elnikova, A. N. Ozerin, V. G. Shevchenko +5

Conducting polymers have wide technological applications in sensors, actuators, electric and optical devices, solar cells etc. To improve their operational performance, mechanical,…

cond-mat.mtrl-sci2022★ 3 cited

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…

cond-mat.soft2020★ 2 cited

Spatial structure and aggregation of carbon allotrope nanofillers in isotactic polypropylene composites studied by small-angle neutron scattering

L. V. Elnikova, A. N. Ozerin, V. G. Shevchenko +4

We study the aggregation of carbon allotrope nanofillers in the matrix of isotactic polypropylene with direct small-angle neutron scattering measurements. With the ATSAS software,…

cond-mat.stat-mech2016★ 36 cited

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…

cond-mat.stat-mech2015★ 43 cited

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…

cond-mat.stat-mech2013★ 1 cited

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…

cond-mat.stat-mech2013★ 38 cited

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…

cond-mat.stat-mech2011★ 56 cited

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…

cond-mat.stat-mech2009★ 31 cited

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…

cond-mat.mes-hall2009

Do the Size Effects Exist?

A. I. Kuklin, A. V. Rogachev, A. Yu. Cherny +8

In this short paper we review a series of publications, some of which are our own, where various aspects of size effects were examined. By analyzing a series of examples we show th…