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Theory of Casimir Forces: A Unified Approach Using Finite-Temperature Field Theory
Journal of Mathematical Physics. 2025. Vol. 66. No. 12. Article 123301.
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.
Pilé I., Shchur L., Deng Y., Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 114 Article 014101
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Swendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for models in different universality classes: Ising model, Potts model with three components, and four-state Potts model. The overlap of two ...
Added: July 6, 2026
Irkutsk: ISDCT SB RAS, 2026.
We study a model problem on the filtration of a conducting fluid through a
porous layer. A porous medium is presented as an assemblage of identical spherical
cells. Each cell consists of a porous core and liquid shell. We derive apriori estimates
for flow characteristics which show the specific behavior of the fluid. Our estimates
are validated numerically. ...
Added: July 5, 2026
М.: Наука и технологии, 2026.
«Телекоммуникации» ежемесячный рецензируемый производственный, информационно-аналитический и учебно-методический журнал выходит в свет с июля 2000 г.
Для руководителей и работников промышленности, научно-исследовательских и проектно-конструкторских институтов, высших учебных заведений, аспирантов и студентов, а также для специалистов, разрабатывающих, выпускающих и эксплуатирующих средства телекоммуникаций.
Новости разработок и производства, прогнозы развития, защита информации, Нормативные, справочные, аналитические и учебно-методические материалы.
Переход к глобальному информационному ...
Added: July 4, 2026
МФТИ, 2025.
абота редакции научного журнала «Труды Московского физико-технического института» (кратко «Труды МФТИ»), редакционной коллегии и редакционного совета осуществляется в соответствии с Положением, утвержденным ректором института. В состав редакционной коллегии входят руководители института, факультетов, институтских и факультетских кафедр. Главный редактор журнала —президент МФТИ, член-корр. РАН Кудрявцев Н.Н.
Журнал «Труды МФТИ» входит в базу данных РИНЦ (Российский Индекс Научного Цитирования) и доступен в электронной ...
Added: July 4, 2026
Bobkov G. A., Bobkov G. A., Bobkova I. V. et al., Journal of Superconductivity and Novel Magnetism 2025 Vol. 38 Article 239
In recent years, a number of studies have predicted the emergence of a nontrivial proximity effect in superconductor/antiferromagnet (S/AF) heterostructures. This effect is of considerable interest for the efficient integration of antiferromagnetic materials into the fields of superconducting spintronics and electronics. A key element of this proximity effect is the Néel triplet correlations, initially predicted ...
Added: July 2, 2026
Bakurskiy S. V., Skryabina O. V., Ruzhickiy V. I. et al., Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 113 P. 134509-1–134509-10
The miniaturization of superconducting electronics demands precise control over quasiparticle dynamics at the nanoscale. Understanding and controlling quasiparticle dynamics is essential for advancing superconducting electronics, particularly as device dimensions approach the nanoscale. Here we present direct experimental evidence for the quasiparticle-to-supercurrent conversion in planar SN-N-NS Josephson nanobridges with submicron electrodes. By employing a versatile measurement ...
Added: July 2, 2026
Polevoy K. B., Bakurskiy S. V., Ruzhickiy V. I. et al., Physical Review Applied 2026 Vol. 25 P. 024030-1–024030-12
We present a comprehensive study of planar Nb-Al-Nb Josephson junctions with submicrometer dimen sions (L ≈ 100 nm, active area of approximately 5 × 104 nm2), where the intrinsic superconductivity of the aluminum weak link plays a crucial role in enhancing device performance. Through a combi nation of theoretical modeling and experimental characterization, we demonstrate ...
Added: July 2, 2026
Springer, 2026.
This book presents established and new research on the close connections between graph games and systems of logic, particularly existing and newly designed modal logics. The volume utilizes two graph games – the sabotage game and the hide-and-seek game – to demonstrate the natural interplay between designing new graph games and exploring new kinds of ...
Added: June 30, 2026
Pochinka O., Barinova M., Journal of Geometry and Physics 2026 Vol. 228 P. 1–8
In the present paper we consider an Ω-stable 3-diffeomorphism with a solid or thickened surfaced non-trivial basic set. Such basic sets include, for instance, all one-dimensional expanding attractors and those two-dimensional basic sets that are not expanding. We prove that the chain recurrent set of every such a diffeomorphism necessarily contains at least two non-trivial ...
Added: June 30, 2026
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
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., Brandyshev P., 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