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Mathematical Modeling of Field Emission From a Microscale-Size Cathode to a Vacuum
IEEE Transactions on Electron Devices. 2025. Vol. 72. No. 3. P. 1462–1468.
Danilov V., Borisov V.
In this article, we propose a numerical method for calculating solutions of the PDE (the heat equation for the cathode temperature and the continuity equation for the current density inside and outside the cathode) with discontinuous flux at the emission surface of a cathode placed in a vacuum. The discontinuity of the flux appears because of the Nottingham effect and tunneling of emitting electrons. In the present article, this approach is applied to mathematical modeling of field emission from a conic silicon cathode of small size (about ten micrometers) to a vacuum, but can be used in other problems with similar types of flux jumps.
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
Махлуф М., Ozhegov R., Elezov M. et al., Фотоника 2026 Vol. 20 No. 6 P. 414–423
This paper compares the ranging precision of direct time-of-flight (dToF) and non-line-of-sight (NLOS) LiDAR architectures, both using a superconducting nanowire single-photon detector (SNSPD). Both systems operate at 1550 nm with a 50 ps pulsed laser and time-correlated single-photon counting (TCSPC). The dToF configuration achieved approximately 100 µm precision at 10 m, while the NLOS configuration achieved 500 µm precision for ...
Added: October 12, 2026
Singapore: Springer, 2026.
This volume presents the Proceedings of the 34th IUPAP Conference on Computational Physics (CCP2023), held in Kobe, Japan on August 4–8, 2023. It offers a collection of peer-reviewed articles that highlight recent developments in computational and simulation research across various areas of physics. Key topics include the use of data science, quantum computing, and machine ...
Added: October 12, 2026
Goncharov A., Chibisov A., Advanced Theory and Simulations 2023 Vol. 12 No. 13 Article 2200816
Designing stable quantum computers with the ability to correct errors responsibly requires a detailed understanding of the physical processes that underlie these devices. In this study, detailed quantum mechanical simulations of the atomic structure, charge distribution of electron density, and distribution and orientation of magnetic and quantum states as a function of applied external pressure ...
Added: October 11, 2026
Chibisov A., Gnidenko A., Chibisova M. et al., FlatChem 2023 Vol. 41 Article 100533
Manufacturing precise quantum computers with small errors in quantum operations, long coherence times, and low power consumption is the most important challenge in modern nanoelectronics. To understand the operating modes of such calculators in detail, both the optimal arrangement of the qubit system within the structure and changes in its magnetic properties must be comprehensively ...
Added: October 11, 2026
Borisov V., Danilov V., Электросвязь 2025 № 12 С. 73–84
Представлены результаты математического моделирования процесса полевой эмиссии из катода малых размеров – одного из основных физических процессов, обеспечивающих работы многих электронных устройств, в частности FED-дисплеев (устройства, работающие на принципе полевой эмиссии), кантилеверов и т.д. Дается краткий обзор текущих результатов в области исследования, обосновывается актуальность задачи, приводятся примеры наиболее вероятного использования результатов решения задачи. Обсуждаются физические ...
Added: May 29, 2026
Gaydukov R. K., Lungin L. E., Russian Journal of Nonlinear Dynamics 2026 Vol. 22 No. 3 P. 537–547
This study numerically investigates boundary layer separation criteria for flows over small surface irregularities on a flat plate at high Reynolds numbers using the double-deck model framework.
By solving the Prandtl equations with self-induced pressure, critical amplitude values (i.e. the height of a hump or the depth of a pit) separating attached laminar flow ...
Added: April 21, 2026
Burov N.A., Gaydukov R.K., Russian Journal of Mathematical Physics 2026 Vol. 33 No. 2 P. 263–275
The spreading of a droplet of incompressible fluid over a substrate under the action of capillary forces and gravity is studied within a phase-field framework. An asymptotic analysis shows that the solution of the phase-field system (regularized problem) converges to the solution of the corresponding limiting problem when a regularization parameter tends to zero. The ...
Added: April 11, 2026
Didenkulova E., Flamarion M., Pelinovsky E., Physica D: Nonlinear Phenomena 2025 Vol. 481 Article 134815
A comparison of the statistical characteristics of a rarefied soliton gas is carried out within the framework of integrable and non-integrable equations from the Korteweg-de Vries (KdV) hierarchy. As examples, multi-soliton solutions of the modified KdV equation, and the modular Schamel equation are considered. A common property of the dynamics of bipolar solitons is the ...
Added: March 11, 2026
He Y., Slunyaev A., Mori N. et al., Physica D: Nonlinear Phenomena 2026 Vol. 488 Article 135098
Extreme wave localizations in nonlinear dispersive media, arising from modulation instability in weakly nonlinear
wave interactions, can be effectively modeled by breather solutions. These breathers are exact solutions
of the nonlinear Schrödinger equation and provide accurate models for understanding and controlling unidirectional
rogue wave dynamics in numerical simulations or laboratory settings. A recent study by Y. He et ...
Added: February 12, 2026
Averboukh Y., Volkov A., Dynamic Games and Applications 2024 Vol. 14 P. 285–303
The planning problem for the mean field game implies that one tries to transfer the system of infinitely many identical rational agents from the given distribution to the final one using the choice of the terminal payoff. It can be formulated as the mean field game system with the boundary condition only on the distribution. ...
Added: June 27, 2025
D.I. Iudin, N.L. Aleksandrov, Syssoev A. A. et al., Atmospheric Research 2025 Vol. 323 Article 108187
Lightning development involves transient events that produce non-stationary, abrupt changes in lightning structure. The most prominent (and most studied) examples of reactivation of lightning side branches are recoil leaders that are initiated near the tips of previously decayed positive leader channels. This study proposes a numerical model that, among other things, takes into account evolution ...
Added: May 8, 2025
Flamarion M. V., E. Pelinovsky, E. Didenkulova, Physics of Wave Phenomena 2025 Vol. 33 No. 1 P. 9–19
The present paper is devoted to the study of the dynamics of narrowband wave fields within the
nonintegrable Schamel equation, which plays an important role in plasma physics, wave dynamics in metamaterials,
and electrical circuits. A Monte Carlo approach is used to obtain a large number of random independent
realizations of the wave fields, allowing for an investigation ...
Added: March 23, 2025
Уткин М. В., Grachev N. N., Utkin B. et al., В кн.: Инновационные, информационные и коммуникационные технологии. Сборник трудов XХ Международной научно-практической конференции.: Ассоциация выпускников и сотрудников ВВИА им. проф. Жуковского, 2024. С. 237–242.
The paper focuses on the numerical simulation of an antenna array using the CST MWS package. Special attention is given to the selection of the array elements' constructive parameters, such as dielectric permittivity, emitter radius, and spacing between elements, as well as the computation of the radiation pattern. The analysis emphasizes the width of the ...
Added: February 17, 2025
Poplavsky E. I., Kuznetsova A., Troitskaya Y. I., , in: Proceedings of 8th International Scientific Conference-School for Young Scientists. Physical and Mathematical Modeling of Earth and Environment Processes—2022. (PMMEEP 2022).: Springer, 2023. P. 235–238.
Added: February 11, 2025
Kuznetsova A., Байдаков Г. А., Троицкая Ю. И., Izvestia, Atmospheric and Oceanic Physic 2024 Vol. 60 No. 3 P. 306–319
This paper provides an overview of a series of papers aimed at creating a regional model based on the WAVEWATCH III spectral wave model adapted to conditions of an inland water body using the WRF atmospheric model. The models are adapted and verified based on results of a series of full-scale experiments on studying the wind–wave ...
Added: December 6, 2024
Artem A. Krylov, Kovachev S., Radiuk E. et al., Applied Sciences (Switzerland) 2022 Vol. 12 No. 9 Article 4614
The paper is devoted to the problem of numerical modeling of earthquake response of porous saturated soil deposits to seismic waves propagation. Site-specific earthquake response analysis is a necessary and important component of seismic hazard assessment. Accounting for the complex structure of porous saturated soils, i.e., the content in them, in addition to the solid ...
Added: September 30, 2024
Gaydukov R. K., Indian Journal of Pure and Applied Mathematics 2026 Vol. 57 No. 3 P. 808–825
The paper is deals with the heat transfer in the laminar flow of a viscous incompressible fluid along a plate with a small heated localized irregularity. It is well known that double- and triple-deck structures of the boundary layer arise in such flow problems. These structures make it possible, among other things, to describe the phenomenon of ...
Added: May 21, 2024
R. K. Gaydukov, V. G. Danilov, Computational Mathematics and Mathematical Physics 2024 Vol. 64 No. 6 P. 1317–1325
Mathematical modeling of the ice–water phase transition during liquid flow inside a pipe
with a small ice buildup on the wall at high Reynolds numbers is considered. As a mathematical model
describing the dynamics of the phase transition, a double-deck boundary layer model and a phase field
system are used. Results of numerical simulation are presented. ...
Added: February 17, 2024
A. V. Slunyaev, Shrira V. I., Physics of Fluids 2023 Vol. 35 No. 12 Article 126606
Rogue waves are known to be much more common on jet currents. A possible explanation was put forward in Shrira and Slunyaev
[“Nonlinear dynamics of trapped waves on jet currents and rogue waves,” Phys. Rev. E 89, 041002(R) (2014)] for the waves trapped on
current robust long-lived envelope solitary waves localized in both horizontal directions become possible, ...
Added: December 20, 2023
Slunyaev A., Известия РАН. Физика атмосферы и океана 2023 Т. 59 С. 793–814
По результатам прямого численного моделирования нерегулярных нелинейных волн на поверхности глубокой воды в рамках трехмерных потенциальных уравнений гидродинамики определены
вклады различных волновых компонент (второй, третьей и разностной гармоник) в формирование
распределений вероятностей высот экстремальных волн, а также амплитуд гребней и ложбин. Проанализированы результаты моделирования с учетом 4- и 5-волновых нелинейных взаимодействий.
Разные нелинейные гармоники участвуют в формировании распределений ...
Added: December 20, 2023