A method of successive approximations for solving the quasi-variational Signorini inequality

We solve the semicoercive quasi-variational Signorini inequality that corresponds to the contact problem with friction known in the elasticity theory by a method of successive approximations. For solving auxiliary problems with a given friction occurring on each outer step of the iterative process we use the Uzawa method based on iterative proximal regularization of a modified Lagrangian functional. We study the stabilization of the sequence of auxiliary finite-element solutions obtained on outer steps of the method of successive approximations and present results of numerical calculations.     

Positron annihilation in electron-irradiated n-type gap crystals

Abstract

The defects in n-GaP crystals irradiated by 2.3 MeV electrons up to 1 × 10¹⁹ cm^?2 at RT were studied by means of positron annihilation (angular correlation) and electrical property measurements. It was found that positrons are trapped in some radiation-induced vacancy-type defects (acceptors) but that the effect saturates at high electron fluences (D1 × 10¹⁸ cm^?2). The trapping rate in irradiated samples increases with temperature in the range 77–300 K. Post-irradiation isochronal annealing reveals the positron traps clustering at about 200–280°C. All positron sensitive radiation-induced defects disappear upon annealing up to 500°C.     

Low-frequency resonance increase in the resistance of a microcontact between ferromagnetic and nonmagnetic metals

The magnetic dynamics of a mesoscopic three-dimensional magnet has been studied by measuring the resistance of a nanodimensional (point) microcontact between paramagnetic and ferromagnetic metals. The resistance was measured by a modulation technique under conditions where a significant role was played by dipole-dipole interaction, magnetic field, and dissipation. It was found that the resistance of the microcontact exhibits resonance growth at low frequencies (～10³ s^?1). The properties of resonances are described by a model of microcontact gyromagnetic oscillations (MCGMOs) based on mutual transformation of spin and mechanical angular momentum. Experimental techniques, basic properties, and the MCGMO model are described. The passage of an electric current through the interface between paramagnetic and ferromagnetic metals leads to nonequilibrium magnetization localized at the interface. A high current density in the microcontact determines the strong excitation of magnetization (high density of magnons) at which the interaction between magnons becomes significant. In a uniaxial magnet, the attraction of magnons leads to the formation of a spatially localized configuration of gapless long-wavelength magnons (magnetic soliton). At a given excitation of magnetization, the vector structure of a magnetic soliton possesses a minimum free energy (configuration energy minimum). The configuration energy minimum of a magnetic soliton is responsible for the radical increase in the soliton spin relaxation time, which determines the fundamental possibility of exciting stationary low-frequency MCGMOs.     

Structural and magnetic phase transitions in gadolinium under high pressures and low temperatures

High pressure structural transition studies have been carried out on rare earth metal gadolinium in a diamond anvil cell at room temperature to 169?GPa. Gadolinium has been compressed to 38% of its initial volume at this pressure. With increasing pressure, a crystal structure sequence of hcp?→?Sm-type?→?dhcp?→?fcc?→?dfcc?→?monoclinic has been observed in our studies on gadolinium. The measured equation of state of gadolinium is presented to 169?GPa at ambient temperature. Magnetic ordering temperature of gadolinium has been studied using designer diamond anvils to a pressure of 25?GPa and a temperature of 10?K. The magnetic ordering temperature has been determined from the four-point electrical resistivity measurements carried out on gadolinium. Our experiments show that the magnetic transition temperature decreases with increasing pressure to 19?GPa and then increases when gadolinium is subjected to higher pressures.     

Stability of the periodic motions of autonomous systems with lag

In the article we give a generalization of the theorem of A. A. Andronov and A. A. Vitt on the stability of the periodic motions of autonomous systems described by ordinary differential equations to autonomous time-lag systems. The investigation is based on the procedures developed by N. N. Krasovskii which consider the differential equations with lag in a functional space of continuous functions. There is a bibliography of eight items.Translated from Matematicheskie Zametki, Vol. 2, No. 5, pp.561–568, November, 1967.     

Identification of novel small-molecule inhibitors of severe acute respiratory syndrome-associated coronavirus by chemical genetics

The severe acute respiratory syndrome-associated coronavirus (SARS-CoV) infected more than 8,000 people across 29 countries and caused more than 900 fatalities. Based on the concept of chemical genetics, we screened 50,240 structurally diverse small molecules from which we identified 104 compounds with anti-SARS-CoV activity. Of these 104 compounds, 2 target the SARS-CoV main protease (M(pro)), 7 target helicase (Hel), and 18 target spike (S) protein-angiotensin-converting enzyme 2 (ACE2)-mediated viral entry. The EC(50) of the majority of the 104 compounds determined by SARS-CoV plaque reduction assay were found to be at low micromolar range. Three selected compounds, MP576, HE602, and VE607, validated to be inhibitors of SARS-CoV M(pro), Hel, and viral entry, respectively, exhibited potent antiviral activity (EC(50) < 10 microM) and comparable inhibitory activities in target-specific in vitro assays.     

Research in the chemistry of heterocyclic quinoneimines. 3. Oxidative cyclization of 2,5-diarylamino-substituted 1,4-benzoquinone-4-phenylimines — Simple method for the preparation of 2-arylamino-5-aryl-3-phenazinones

2,5-Diarylamino-1,4-benzoquinone-4-phenylimines, which are formed in the reaction of 1,4-benzoquinone-4-phenylimine with aromatic amines, are converted under oxidative conditions to products of intramolecular oxidative cyclization, viz., 2-arylamino-5-aryl-3-phenazinones.See [4] for Communication 2.Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 3, pp. 330–333, March, 1984.     

Positron annihilation and Hall effect in electron irradiatedn-InP crystals

Positron annihilation and Hall effect inn-InP crystals as a function of electron irradiation up to 1 · 10¹⁹ cm^–2 and post-irradiated isochronal annealing up to 550 °C have been studied. It is concluded that in irradiatedn-InP samples positrons interact with negatively charged acceptor-type defect with level atE _c –0.33 eV, probablyV _In (primary defect). In post-irradiated isochronal annealed (up to 330 °C) samples ofn-InP positron trapping occurs preferably in secondary defects-vacancy clusters, which are formed in the temperature range (150–300 °C). Inn-InP crystals containing radiation induced defects the trapping rate was found to decrease with temperature in the range (300–77) K.