?
Theory of Casimir Forces: A Unified Approach Using Finite-Temperature Field Theory
Journal of Mathematical Physics. 2025. Vol. 66. No. 12. Article 123301.
Petr E. Brandyshev, Yury A. Budkov
We present a quantum theory of Casimir forces between perfect electrical conductors, based on quantum electrodynamics and quantum statistical physics. This theory utilizes Kapusta’s finite-temperature field theory, combined with the Faddeev–Popov ghost formalism. This approach allows us to calculate Casimir forces at finite temperatures, providing both previously known and new physical insights from a unified perspective. Furthermore, our method enables us to compute the stress tensor associated with Casimir forces, in accordance with the Helmholtz free energy of an equilibrium quantum electromagnetic field. Using this method, we calculate the tangential pressure in a slit-like pore due to the Casimir effect.
German O., Illarionov A., Известия РАН. Серия математическая 2026 Т. 90 № 3 С. 3–18
Пусть симплекс с целочисленными вершинами - содержащий ровно одну целочисленную точку, отличную от своих вершин. В работе доказывается, что если точка находится во внутренности симплекса или в относительной внутренности некоторой гиперграни симплекса, то объем симплекса ограничен величиной, зависящей только от размерности, в противном случае объем симплекса может быть сколь угодно большим. Этот результат применяется для вывода асимптотической формулы для среднего числа вершин полиэдров ...
Added: June 29, 2026
Ivchenko A., Nigmatullin R. R., Dorokhin S. V., Mathematics 2026 Vol. 9 No. 4 Article 381
n this paper, we focus on the generalization of the Hurst empirical law and suggest a set of reduced parameters for quantitative description of long-time series. These series are usually considered as a specific response of a complex system (economic, geophysical, electromagnetic and other systems), where successive fixations of external factors become impossible. We consider ...
Added: June 27, 2026
Ivchenko A., Шестопёров А. И., Фомина Е. В., Microgravity Science and Technology 2025 Vol. 37 No. 19 P. 1–19
The paper is dedicated to the analysis of medico-biological data obtained during locomotor testing of astronauts. Accurate data interpretation plays a crucial role in locomotion system monitoring, prophylaxis of long-duration spaceflight negative effects and thus in the development of an autonomous medical support system for deep space expeditions. During the locomotor testing the astronaut changes ...
Added: June 26, 2026
Gadzhimirzaev S., Хельвас А. В., 2023 3rd International Conference on Innovative Research in Applied Science, Engineering and Technology (IRASET) Mohammedia, Morocco 2023 P. 1–6
The article proposes the architecture for eventdriven Emergency Operation Center with Machine Vision Component. Sources of information are analyzed and approaches to machine vision events for tactical situations detection and estimation are discussed. Messages from Machine Vision Components are converted to Common Alerting Protocol and processed by Operation Center environment for tactical situations recognition. ...
Added: June 26, 2026
Gadzhimirzaev S., Хельвас А. В., Лукьянченко П. П., Computer Research and Modeling 2023 Vol. 15 No. 1 P. 129–140
In this article we propose a new approach to the analysis of econometric industry parameters for the industry consolidation level. The research is based on the simple industry automatic control model. The state of the industry is measured by quarterly obtained econometric parameters from each industry’s company provided by the tax control regulator. An approach ...
Added: June 26, 2026
Gadzhimirzaev S., Хельвас А. В., International Frequency Sensor Association (IFSA) Publishing, 19-21 February 2025 Granada, Spain 2025 P. 172–176
The paper presents models for an innovative fully robotic warehouse for storing boxed goods. A discrete multiagent simulation of the movement of shuttles in a warehouse for a given sequence of pallet shipments has been implemented. Different strategies for placement of boxes in various areas of a warehouse are evaluated, as well as optimal routing ...
Added: June 26, 2026
Никонов В. Д., Никитин С. С., Патракеев М. В., Ionics 2025 Vol. 31 No. 1 P. 675–687
Modification of perovskite-type oxides is an effective way to develop functional materials with advanced properties. The effects of cerium introduction into the A sublattice of La0.5Sr0.5FeO3−δ and variation of La:Sr ratio on the defect structure and charge transfer characteristics were studied in this work. The LaxSr0.85−xCe0.15FeO3−δ oxides were found to be single-phase with cubic (x = 0.1) and orthorhombic ...
Added: June 26, 2026
Fedorov Timofey, Moscow Mathematical Journal 2026 Vol. 26 No. 1 P. 73–85
We obtain a complete list of smooth projective threefolds over C for which the dimension of the space of vanishing cycles (in H2(Y,Q) of the smooth hyperplane section Y) equals 2. We also obtain a complete list of rank 2 very ample vector bundles E on smooth projective surfaces with c2(E)=3. ...
Added: June 25, 2026
Воронеж: Издательский дом ВГУ, 2026.
В сборнике представлены материалы докладов и лекций, включенных в программу весенней математической школы. ...
Added: June 25, 2026
Воронеж: Издательский дом ВГУ, 2026.
В сборнике представлены материалы докладов и лекций,
включенных в программу Воронежской зимней матаматической школы С. Г. Крейна - 2026. ...
Added: June 25, 2026
Nikolai N. Kalikin, Petr E. Brandyshev, Yury A. Budkov, Journal of Chemical Physics 2026 Vol. 164 No. 15 Article 154904
This study presents a mean-field theory for zwitterionic polymer solutions confined within attractive slit-like nanopores. Building upon our prior model for self-coacervation [Budkov et al., Soft Matter 19, 3281–3289 (2023)], we demonstrate that strong electrostatic dipole–dipole correlations between monomeric units, coupled with attraction to pore walls, can induce capillary-driven liquid–liquid phase separation inside the pore—a ...
Added: April 18, 2026
Ekaterina G. Odintsova, Darya L. Gurina, Yury A. Budkov, Colloids and Surfaces A: Physicochemical and Engineering Aspects 2026 Vol. 736 Article 139693
The behavior of water under nanoscale confinement is crucial for numerous technologies; yet predicting its
properties remains challenging due to the complex interplay of pore geometry and surface chemistry. While the
influence of general hydrophilicity is recognized, the specific role of the flexibility of surface functional groups - a
key molecular-scale feature - has remained underexplored. To address ...
Added: January 24, 2026
Dmitry Vasilyev, Journal of Physics: Conference Series 2021 Vol. 1942 Article 012017
In this work, structural, elastic and thermal properties of the Laves phase Fe2Mo (λ-) with the C14-type structure existing in the Fe – Mo system have been investigated using the quantum mechanical calculations within the frame of the density functional theory (DFT). The equilibrium lattice parameters, atoms position coordinates and average magnetic moment of atoms ...
Added: July 26, 2025
Vasilyev Dmitry, Physica B: Condensed Matter 2021 Vol. 621 No. 15 Article 413307
In this work, a new method of searching a most energetically favorable free energy calculated along different thermal expansion paths of a compound is proposed. This makes it possible to reduce the problem to a one-dimensional case and to consider free energy as having one variable - volume. The method was applied to study the ...
Added: July 25, 2025
Darya L. Gurina, Kruchinin S. E., Yury A. Budkov, Electrochimica Acta 2025 Vol. 535 Article 146711
Supercapacitors are becoming increasingly important in energy storage applications due to their high power density, long cycle life, and fast charging capabilities. However, to further enhance supercapacitor performance, a deeper understanding of the electric double layer (EDL) structure at the electrode-electrolyte interface is essential. This molecular dynamics (MD) study explores the structure and electrochemical behavior ...
Added: June 16, 2025
Yury A. Budkov, Petr E. Brandyshev, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2025 Vol. 111 No. 4 Article 044130
In this paper, we use the formalism of finite-temperature quantum field theory to investigate the Casimir force between flat, ideally conductive surfaces containing confined, but mobile ions. We demonstrate that, in the Gaussian approximation, the ionic fluctuations contribute separately from the electromagnetic fluctuations that are responsible for the standard Casimir effect. This is in line ...
Added: April 21, 2025
Darya Gurina, Budkov Y., Journal of Molecular Liquids 2025 Vol. 419 Article 126734
In this study, we used molecular dynamics simulations to investigate the effects of diluting [EMIM][NTf2] with DMSO on the behavior of the electrolyte within negatively charged slit-like micropores. Our results demonstrate clear differences in electrolyte composition between confined and bulk phase. Increasing the DMSO content leads to higher concentrations of counterions within the pores, particularly ...
Added: December 22, 2024
Yury A. Budkov, Nikolai N. Kalikin, Petr E. Brandyshev, Journal of Statistical Mechanics: Theory and Experiment 2024 Vol. 2024 No. 12 Article 123201
This extended article presents a thermomechanical approach for calculating the stress tensor from the thermodynamic potential of inhomogeneous fluids and some applications to ionic fluids. The technique, based on the invariance of the fluid's thermodynamic potential with respect to spatial transformations of translation and rotation, offers an alternative to the general covariant approach developed by ...
Added: December 15, 2024
Darya L. Gurina, Odintsova E., Yury A. Budkov, Journal of Physical Chemistry B 2024 Vol. 128 No. 9 P. 2215–2218
We present all-atom molecular simulations to investigate the behavior of 1-ethyl-3-methylimidazolium tetrafluoroborate ([EMIM][BF4]) in negatively charged carbon nanopores of different widths (h = 5÷15 nm) and lengths (l = 4÷10 nm). The goal of our study was to determine how the disjoining pressure varies as a function of the pore width at different lengths and to understand ...
Added: March 4, 2024
Budkov Y., Брандышев П. Е., Journal of Chemical Physics 2023 Vol. 159 No. 17 Article 174103
Based on the variational field theory framework, we extend our previous mean-field formalism [Y. A. Budkov and A. L. Kolesnikov, JStatMech 2022, 053205.2022], taking into account the electrostatic correlations of the ions. We employ a general covariant approach and derive a total stress tensor that considers the electrostatic correlations of ions. This is accomplished through an ...
Added: November 2, 2023
Budkov Y., Kalikin N., Polymer Science - Series C 2023 Vol. 65 No. 1 P. 46–52
We utilize the self-consistent field theory to explore the mechanical and electrical properties of charged surfaces immersed in polyelectrolyte solutions that could be potentially useful for electrochemical applications. Our research focuses on how the dielectric heterogeneity of the solution could affect the disjoining pressure and differential capacitance of the electric double layer. Relying on the ...
Added: August 31, 2023
Victoria A. Vasileva, Daria A. Mazur, Yury A. Budkov, Journal of Chemical Physics 2023 Vol. 159 No. 2 Article 024709
In this paper, we present a continuation of our research on modeling electrolyte solutions within charged pores. We make use of the model developed by Blossey et al. [Phys. Rev. E 95, 060602 (2017)], which takes into account the structural interactions between ions through a bilinear form over the gradients of local ionic concentrations in ...
Added: July 14, 2023