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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.
Yakovlev K., Puchkin N., Journal of Complexity 2026 Vol. 97
We present a theory for simultaneous approximation of the score function and its derivatives, enabling the handling of data distributions with low-dimensional structure and unbounded support. Our approximation error bounds match those in the literature while relying on assumptions that relax the usual bounded support requirement. Crucially, our bounds are free from the curse of ...
Added: September 30, 2026
Zlotnik A., Mathematical notes 2026 Vol. 120 No. 6 P. 1005–1009
Numerical methods for solving systems of gas dynamic equations are the subject of a vast literature. A special family of spatially symmetric conservative difference methods based on preliminary kinetic, or quasi-gasdynamic (QGD), regularization of these equations was constructed and successfully tested. A pressing issue is the construction of numerical methods that are not only conservative ...
Added: September 30, 2026
Obraztsova Anna, Fominykh Nikita, Komarov Sergey et al., Applied Physics Letters 2026 Vol. 129 Article 132110
Miniaturization of edge-emitting quantum-dot lasers is hampered by increased mirror losses in ultra-short Fabry–Perot cavities and limited modal gain of quantum dots (QDs). Here, we demonstrate electrically injected InGaAs/GaAs quantum-dot stripe lasers with an 8-lm stripe width and focused-ion-beam (FIB)-etched mirrors defining cavity lengths from 300 to 77 lm. The laser cavities were fabricated using ...
Added: September 30, 2026
Beldiev I., Тимашёв Д. А., Алгебра и анализ 2026 Т. 38 № 5 С. 1–10
An algebraic variety X is called a homogeneous space if there exists a transitive regular action of an algebraic group on X. We prove inequalities between the dimension of a homogeneous space of a linear algebraic group and its Picard number. ...
Added: September 30, 2026
Planche L., Ilina A., Jay F. et al., Molecular Biology and Evolution 2026 Article 235
Admixture between populations is a common feature of human history. Admixture events introduce new genetic variation that can fuel evolution. Characterizing the significance of admixture events on the evolution of populations across various species is of great interest to evolutionary geneticists. Local Ancestry Inference (LAI) methods infer genetic ancestry of an individual at a particular ...
Added: September 30, 2026
Glutsyuk A., Ilyashenko Y., Izvestiya. Mathematics 2026 Vol. 90 No. 1 P. 73–89
We show that a completely non-degenerate B-group is uniquely determined by its factor: two such groups with conformally equivalent factors are Möbius conjugate. A similar property is inherent to the quasi-Fuchsian groups but not to degenerate B-groups. We also study the factor of a B-group as a triple: the main factor, the marked characteristic complex, and a homotopy class of ...
Added: September 30, 2026
Tuzhilin M., Автоматика и телемеханика 2026 № 11 С. 84–97
Предлагается обобщение двух известных инвариантов реальных сетей: степени и кси-центральности. Строится серия центральностей, основанная на матрице Лапласа сети и параметризованная параметром j со следующими свойствами: во-первых, при j = 0, 1 эти центральности совпадают со степенью и ксицентральностью; во-вторых, их распределение хорошо приближается распределением Вейбулла; в-третьих, для реальных сетей они имеют правостороннюю асимметрию, а для ...
Added: September 29, 2026
Melnikov I., Pelinovsky E., Доклады Российской академии наук. Физика, технические науки (ранее - Доклады Академии Наук. Физика) 2026 Т. 529 С. 29–36
Conditions for the emergence of pyramidal solitary waves (solitary waves possessing more than two inflection points) are presented for a family of generalized Korteweg – de Vries (KdV) equations. For the generalized Gardner equation, it is shown that pyramidal solitons are unstable. The decay of initial perturbations close to pyramidal solitary waves is demonstrated numerically. ...
Added: September 29, 2026
Merkulov S., Journal of Pure and Applied Algebra 2026 Vol. 230 P. 1–19
We study the dual cyclic Hochschild complex $Cyc(A,\K)$ of a
(possibly, infinite-dimensional) $A_\infty$-algebra $(A,\mu)$ and prove
that any pre-Calabi-Yau extension $\pi$ of the given $A_\infty$ structure $\mu$ in $A$
induces on the cyclic cohomology of $(A,\mu)$ a representation of a new dg properad of {\em oriented}\, ribbon graphs. We compute the cohomology of that properad in terms of ...
Added: September 29, 2026
Kartsev A., Васильев Д. А., Kushchuk L. et al., Materials Today Communications 2026
Amorphous carbon coatings, including diamond-like carbon (DLC), exhibit a wide range of structural and mechanical properties governed by the local bonding topology (the sp2/sp3 ratio), as well as by deposition conditions and substrate material. Recently, machine-learning interatomic potentials trained predominantly on density functional theory (DFT) reference data have significantly advanced multiscale modeling of amorphous carbon ...
Added: September 28, 2026
Хрыстик М. А., European Journal of Combinatorics 2026 Vol. 136 P. 104393–104393
Let 𝑓𝑊(𝑛) be the number of different factors of length 𝑛 appearing in a word 𝑊. In a classical result by Morse and Hedlund, a characterization is given for infinite words satisfying the condition 𝑓𝑊(𝑛)≤𝑛 for some 𝑛∈ℕ. In this paper, we describe the form of finite words that satisfy the condition 𝑓𝑊(𝑛)≤𝑛. We study ...
Added: September 28, 2026
The Search of the Process e+e−→(ω, ρ)→ηe+e− at 680–820 MeV c.m. Energy Range with the CMD-3 Detector
A. K. Narvatkina, Physics of Atomic Nuclei 2025 Vol. 88 No. 4 P. 386–393
We report a search for the rare Dalitz decays ω → ηe+e− and ρ → ηe+e− using data from the CMD-3 detector at the VEPP-2000 e+e− collider. These decays probe the electromagnetic structure of vector mesons and test the Vector Dominance Model (VDM) in low-energy QCD. A blind analysis technique, combined with kinematic constraints and ...
Added: September 28, 2026
Fominykh N., Stegailov V., Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 114 Article 115132
The enigmatic puzzle of the Verwey transition in magnetite Fe3O4 has been unresolved for almost a century. We present an ab initio-based model of the polaron transport combining kinetic Monte Carlo and molecular dynamics calculations to directly describe the coupling of polarons with lattice vibrations. Contrary to the Ihle-Lorenz small-polaron model, we find no significant ...
Added: September 28, 2026
Piliugin L., Antropov A., Lobashev E. et al., Journal of Nuclear Materials 2026 Vol. 632 Article 156876
The effects of dislocations on the mobility of gas nanobubbles pinned to them are considered as novel unex- plored mechanisms of accelerated fission gas release and investigated using classical molecular dynamics of helium bubbles in FCC aluminum. Non-equilibrium methods are developed to calculate the mobility of a pinned bubble both along and across the dislocation ...
Added: September 28, 2026
Teregulov T., Loubenets E. R., / Series Quantum Physics "arXiv". 2026. No. 2609.31472.
We develop a new three-party quantum secret-sharing (QSS) protocol based on a three-qubit W state. This protocol encodes the secret-sequence bits using X gates and employs randomly selected Hadamard operations and measurement bases to generate information and security-test rounds. We evaluate the efficiency of the proposed protocol and analyze its security against an internal adversary ...
Added: September 28, 2026
Щербинин С. А., Корзникова Е. А., Дмитриев С. В. et al., Physics Letters A 2026 Vol. 591 Article 131884
In this work, a simple genetic algorithm (GA) is used to find and characterize different QBs in a 𝛽-FPUT chain. By considering the space of initial particle displacements as a global optimization landscape, GA maximizes the energy localization function by automatically evolving candidate states toward highly localized long-lived solutions without a priori symmetry assumptions. 200 ...
Added: September 28, 2026
Guterman A., Jonoska N., Kreines E. et al., Proceedings of the Edinburgh Mathematical Society 2026 Vol. 69 No. 3 P. 1041–1057
We provide four equivalent combinatorial conditions for a simple assembly graph (rigid vertex graph where all vertices are of degree 1 or 4) to have the largest number of Hamiltonian sets of polygonal paths relative to its size. These conditions serve to prove the conjecture that such a maximum, which is equal to 𝐹_(2𝑛+1) −1, ...
Added: September 27, 2026
Vergeles S. S., Vointsev I., Physics of Fluids 2026 Vol. 38 P. 024117-1–024117-8
We analytically consider the problem of the Langmuir instability. The instability describes emergence of transverse modulation of horizontal current with vertical shear, when it is superimposed on surface wave co-directional with the flow. Compared to the Craik–Leibovich scheme, we account for the scattering of surface wave on the modulated current, which is significant if the ...
Added: September 26, 2026
Budkov Y., Journal of Chemical Physics 2026 Vol. 165 No. 9 Article 094902
We derive the stress tensor of a flexible polymer solution within the Gaussian-chain self-consistent field theory (SCFT) without invoking the ground-state dominance (GSD) approximation. Starting from a covariant formulation of the single-chain partition function in a background metric, we obtain the symmetric stress tensor expressed through the full Edwards propagators. The result contains the local ...
Added: September 2, 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