Jacobi Stability of a Many-Body System with Modified Potential

Doklady Mathematics - The evolution of a system of mutually gravitating particles is considered taking into account the energy loss in collisions. Collisions can be described in various ways. One...     

Multiscale model reduction for a thermoelastic model with phase change using a generalized multiscale finite-element method

Theoretical and Mathematical Physics - The development of the cryolithozone requires building and numerically implementing mathematical models of multiphysics thermoelastic processes involving with...     

The Effect of Ion Irradiation on Nanocrystallization and Surface Relief of a Ribbon from Fe72.5Cu1Nb2Mo1.5Si14B9 Alloy

Russian Physics Journal - Using the methods of X-ray diffraction and atomic force microscopy, the process of crystallization of an amorphous Fe72.5Cu1Nb2Mo1.5Si14B9 alloy irradiated with...     

Bilinear Hardy–Steklov Operators

Mathematical Notes - The weighted inequality in Lebesgue norms with bilinear Hardy–Steklov operators is characterized.     

Anisotropy of plasma reflection of solid solutions (Bi2 ? xSbx)Te3 (0 < x < 1) in the Temperature Range 78–293 K

We study IR polarized reflection spectra of solid solutions (Bi_2−x Sb _x )Te₃ (0 < x < 1) in the temperature range 78–293 K and in the excitation range of plasma oscillations of free charge carriers. We reveal that, as the content of Sb₂Te₃ in the solid solution increases from 0 to 50%, the anisotropy of both plasma frequencies and magnetic susceptibility vary insignificantly. This indicates that, at 293 K, these crystals do not show significant changes in the composition of groups of free carriers near the chemical potential level. We have found that to describe the observed anisotropy of plasma frequencies, it is necessary to take into account the effect of heavy holes of the valence band. This is also confirmed by the results of the study of the temperature behavior of plasma reflection spectra, which exhibit regularities that are similar to anomalous temperature changes of the Hall coefficient. We show that a decrease in plasma frequencies with increasing temperature cannot be described by an increase in the effective mass of charge carriers in accordance with the expression m* ∼ T ^0.17, which was obtained upon interpretation of temperature dependences of a number of kinetic coefficients. We use the empirical Moss rule ɛ_∞² E _g to estimate the rate of decrease of the thermal band gap dE _g /dT = −1.6 × 10⁻⁴ eV/deg in a crystal that contains 25% Sb₂Te₃.     

On the role of structural defects during particle channeling through carbon nanotubes

The formation of structural defects during particle-flux channeling in an array of nanotubes is studied by the molecular dynamic method. The approach accounts for the formation of defects by means of the AIREBO potential. The characteristic dependences of the energy of the channeling particles on time are considered. Data are obtained on the types of effects formed and the energy of their formation.     

Synthesis of periodic plasmonic microstructures with copper nanoparticles in silica glass by low-energy ion implantation

Ion implantation was used to locally modify the surface of silica glass to create periodic plasmonic microstructures with Cu nanoparticles. Nanoparticles were synthesized by Cu-ion irradiation of the silica glass at the ion energy of 40 keV, dose of 5×10¹⁶ ions/cm² and current density of 5 μA/cm². This procedure involves low-energy ion implantation into the glass through a mask placed at the surface. Formation of nanoparticles was observed by optical spectroscopy and atomic force microscopy. The presented results clearly demonstrate how the low-energy ions can be used for the fabrication of photonic microstructures on dielectric surfaces in a single-step process.     

Measurement and Calculation of Mechanical Properties of Silicone Rubber

Russian Physics Journal - The paper presents measurements and calculations of the mechanical properties of silicone rubber used in manufacturing an auricular prosthesis. Measurements and...