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Simulation of Low-Pressure Inductively Coupled Plasma with Displacement Potential and Gas Flow
Plasma Physics Reports. 2024. Vol. 50. No. 1. P. 89–100.
A. Yu. Shemakhin
The dependence of the parameters of low-pressure inductively coupled argon plasma (13.3–113 Pa) and field frequency of 13.56 MHz at the coil on the potential applied to the electrode and on gas flow rate up to 4000 sccm is numerically studied. The model is developed in the COMSOL Multiphysics environment and verified with experimental data, as well as over the Knudsen number. As a result of a numerical experiment, it is revealed as follows: when the displacement potential increases linearly, the density of charged particles increases exponentially and a slight increase in the electron temperature is observed; when the gas flow rate increases linearly, the density of charged particles increases exponentially, the density of excited states has an extremum at 2000 sccm, and the gas and electron temperature increases linearly.
Gordin V. A., Efremenko D., Boundary-Layer Meteorology 2026 Vol. 192 No. 51
An inverse problem of reconstructing the turbulent exchange tensor from large archives of observed wind profiles within the Åkerblom–Ekman (A-E) model framework is investigated using high-vertical-resolution radiosonde observations. The reconstructed tensor provides improved agreement between modeled and observed wind profiles compared to classical formulations based on real turbulent exchange coefficient. Instead of the classical A-E ...
Added: October 16, 2026
Kuznetsov A. P., Sedova Y. V., Stankevich N., Chaos, Solitons and Fractals 2026 Vol. 213 No. 12 Article 119309
We analyze the interaction of a quasi-periodic subsystem, in which two-, three-, and four- frequency quasi-periodic oscillations are possible, with a chaotic subsystem. A discrete version is obtained via the Euler scheme from the corresponding flow model. The dynamics of individual subsystems are discussed, including quasi-periodic bifurcations of invariant tori and the occur rence of ...
Added: October 16, 2026
Aleksei Samarin, Nazarenko A., Nazarenko D. et al., Machine Learning and Knowledge Extraction 2026 Vol. 8 No. 10 Article 330
Automated microscopic image analysis is essential for quantitative microbiology, yet manual acquisition and generic recognition models struggle with morphological variability and scene artifacts. We address both ends of this pipeline. First, we present a low-cost, open-source acquisition system, based on an Arduino UNO R3 microcontroller and NEMA 17 stepper motors, that automates focusing, magnification, and ...
Added: October 14, 2026
Parkhomenko V., Kulikova S., Buzmakov A. V., Lobachevskii Journal of Mathematics 2026 Vol. 47 No. 6 P. 2979–2992
The stability of formal concepts and its generalization as robustness are considered in the paper. We use an approximation of stability in the form of Δ-measure for fast calculations. A computationally efficient method for calculating robustness based on subcontexts is presented. We also present a new method to analytically evaluate the number of preimages for ...
Added: October 14, 2026
Kuznetsov A. P., Sedova Y. V., Sataev I. R. et al., Mathematics and Computers in Simulation 2027 Vol. 2 P. 574–592
Universal bifurcation structures on the parameter plane of nonlinear systems, known as shrimps, are discussed. An overview of numerous examples from various fields of science is given. Shrimps are typical for both maps of different dimensions and flows. The varieties of shrimp are discussed and relevant examples are given. The similarity property on the parameter ...
Added: October 14, 2026
Dmitriev A., Kornilov V., Batienkov R., Lecture Notes in Civil Engineering 2026 Vol. 886 P. 249–255
Numerous studies have provided compelling evidence that the probability distribution of avalanche sizes follows a power law, and that 1/f noise is present in the stochastic dynamics of landslides. We present a theoretical explanation of these phenomena within the framework of self-organized criticality theory, proposing a discrete-time model in the form of a sandpile cellular ...
Added: October 13, 2026
Dmitriev A., Shulman I., Lebedev A., Studies in Computational Intelligence 2026 Vol. 1265 P. 266–273
A discrete-time model is presented for the self-organization of the X/Twitter social network to the edge of a phase transition, characterized by avalanche-like propagation of information in the network. The model is based on the analogy between the critical dynamics of the X social network and sandpile cellular automata with Manna rule on the Chung-Lu ...
Added: October 13, 2026
Arutyunov K., Kharitonov I. A., Petrosyants K. O., JETP Letters 2026 Vol. 124 No. 6 P. 1–16
Superconducting properties of metallic micro- and nanowires can be entirely different from those of bulk superconductors. Of particular interest is the nonequilibrium current-induced state of a quasi-one-dimensional superconducting channel. The most interesting phenomenon here is the stepped I–V characteristic, explained by a process known as phase slip center activation. If the origin of such step-like ...
Added: October 13, 2026
Makarov D. M., Kalikin N., Fashchevsky K. A. et al., Electrochimica Acta 2026 Vol. 579 Article 150159
Machine learning (ML) has become a powerful tool for accelerating the development of carbon-based supercapacitors;
however, most published models assume that a single predictive framework can describe both conventional
porous carbons and hybrid carbon electrodes. Here, we test this assumption using a comprehensive
benchmark dataset and an extended literature-curated dataset enriched with synthesis- and electrolyte-related
descriptors. Three ML algorithms ...
Added: October 13, 2026
Skvortsov I. V., Shemakhin A.Y,, Danilov I. Y. et al., High Energy Chemistry 2024 Vol. 58 No. Suppl. 3 P. S421–S424
The paper presents the results of predicting the characteristics of a inductive coupled radio frequency discharge at low pressure in a one-dimensional approximation using a perceptron. The electric and magnetic field strengths of the ICRF discharge were used as prediction characteristics. The prediction results obtained using the perceptron were compared with the model data of ...
Added: February 26, 2026
Shemakhin A.Y,, Zheltukhin V. S., Shemakhin E. Y. et al., High Energy Chemistry 2024 Vol. 58 No. 3 P. S416–S420
The calculations by mathematical model of the RF plasma flow at a pressure of 13.3–133 Pa at Knudsen Kn⩽0.1 is performed. The model is based on Navier–Stokes equations together with the continuum model for electron and metastable components of the RF plasma taking into account non-maxwellian EEDF. Results of plasma flow calculations for electrons density, distributions of ...
Added: February 26, 2026
Petrosyants K. O., Kharitonov I. A., Tegin M. S., WSEAS Transactions on Circuits and Systems 2023 Vol. 22 P. 126–134
A scheme of automated multi-level electro-thermal modeling of power PCB modules using software tools Comsol at the device construction level, SPICE tool at the circuit level, and Asonika-TM tool at board level was proposed to improve the conventional design approach. The effectiveness of the proposed methodology is demonstrated in the example of electro-thermal analysis of ...
Added: November 6, 2025
Kharitonov I. A., Kofanov Y. N., Тегин М. С., Наноиндустрия 2023 Т. 16 № S9-1(119) С. 189–196
The paper presents a set of developed software tools to provide joint electro-thermal modeling of power electronic circuits on PCBs using Comsol, SPICE, Asonika-TM software tools. Examples of joint electro-thermal modeling of power electronic circuit on printed circuits have also been presented. ...
Added: May 21, 2023
Kofanov Y. N., Vinokurov Y., Sotnikova S., , in: 2019 International Seminar on Electron Devices Design and Production (SED).: IEEE, 2019. P. 1–4.
In this paper, we would like to suggest the algorithm of optoelectronic devices’ thermal working modes providing method. It solves the problem of gaining the projected working accuracy in high heat load including internal heat release on electronic components of printed circuit assemblies and optical part of optoelectronic device – the problem that is often ...
Added: June 24, 2019
Nikitin A. A., Savost’yanov Anton Sergeevich, Moscow University Computational Mathematics and Cybernetics 2017 Vol. 41 No. 3 P. 122–129
The two-species model of self-structured stationary biological communities proposed by U. Dieckmann and R. Law is considered. A way of investigating the system of integro-differential equations describing the model equilibrium is developed, nontrivial stationary points are found, and constraints on the model parameter space resulting in similar stationary points are studied. The results are applied ...
Added: September 3, 2018
Nikitin A.A., Savost’yanov A. S., Moscow University Computational Mathematics and Cybernetics 2017 Vol. 41 No. 3 P. 122–129
The two-species model of self-structured stationary biological communities proposed by U. Dieckmann and R. Law is considered. A way of investigating the system of integro-differential equations describing the model equilibrium is developed, nontrivial stationary points are found, and constraints on the model parameter space resulting in similar stationary points are studied. The results are applied ...
Added: September 3, 2017
Gladchenkov E., Zakharchenko K. V., Ibragimovich R. F. et al., Instruments and Experimental Techniques 2017 Vol. 60 No. 3 P. 339–344
A mathematical model of an ionizing-radiation monitor based on diamond detectors has been developed. Experimental investigations of the monitor were carried out, and, using their results, the model was verified and optimized. In was demonstrated thet the developed model makes it possible to calculate data of sensor measurements with an accurancy of 10% or better. ...
Added: May 15, 2017
Zakhariev I., Aksenov S. A., Journal of Chemical Technology and Metallurgy 2017 Vol. 52 No. 5 P. 1002–1007
Free bulging process is an experimental technique which can be used to characterize a sheet material in conditions of biaxial tension during hot forming. Analytical and semi-analytical models of this process are usually based on the hypothesis offering certain relations between the geometrical characteristics of a bulge during forming. The paper presents an original relation ...
Added: December 11, 2016
Presnova A., Качество. Инновации. Образование 2016 № 5 С. 33–41
Built parametric suboptimal control of supply of drugs using the method of algorithmic design in the problem of stabilization of the cells of the immune system in patients with the HIV. A mathematical model describing the dynamics of HIV in the human body represents a nonlinear system of differential equations. In this paper uses the ...
Added: May 25, 2016
Chumachenko E., Logashina I. V., Zakhariev I., Металлург 2016 № 4 С. 102–105
The paper is devoted to simulation, analysis and optimization of a forging technology for manufacturing of titanium sections of high-pressure apparatuses. Computer simulation of material forming during the forging was performed using finite element method. The punching force evolution was study as well as deformation uniformity of the product walls, fillability of the dies and ...
Added: May 17, 2016
Presnova A., Качество. Инновации. Образование 2016 № 2 С. 31–40
In this paper, using the theory of differential games developed the algorithm of constructing guaranteed control for nonlinear systems. Through the transition from the nonlinear model to model the linear form with parameters that depend on the state, will move from finding solutions to equations of Hamilton-Jacobi-Bellman equation to the Riccati equation. Moreover, the appointment ...
Added: May 3, 2016
Zakhariev I., Aksenov S. A., В кн.: Труды XV Всероссийской научно-технической конференции и школы молодых учёных, аспирантов и студентов АКТ-2014.: Воронеж: ООО Фирма "Элист", 2014. С. 32–38.
This work is devoted to the investigation of the thickness-height dependence of the freely molded dome. The series of simulations were produced by finite element method. The generalization of the simulation results allowed us to obtain an analytical thickness-height relation of the dome ...
Added: October 22, 2015
O.N. Savina, , in: RECENT ADVANCES on COMPUTATIONAL SCIENCE and APPLICATIONS. [Proceedings of the 4th International Conference on Applied and Computational Mathematics (ICACM '15)]Issue 52: Mathematics and Computers in Science and Engineering Series.: Seul: World Scientific and Engineering Academy and Society, 2015. P. 19–22.
Analytically and numerically calculations according to the original effective algorithms for largescale
acoustic-gravity wave perturbations in the chromosphere from sources at the level of the photosphere are
analyzed. Limitations to the energy flux of acoustic-gravity waves from the photosphere through the
chromosphere are formulated. Structure of a narrow region with elevated pressure at the resonance altitude
where the horizontal ...
Added: October 13, 2015
Puzino Y. A., Вестник Чувашского государственного педагогического университета им. И.Я. Яковлева. Серия: Механика предельного состояния 2014 № 22 С. 46–52
The increasing of the efficiency of technological modes of steel products manufacturing requires simulation of metal forming during hot deformation. To obtain correct results, one should set the correct initial and boundary conditions, including the mechanical properties of materials, which represent the dependence of the stress-strain and strain rate at maintained temperature.
In the experiments one ...
Added: January 19, 2015