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Collective fluctuations in the finite-size Kuramoto model below the critical coupling: Shot-noise approach
Chaos. 2025. Vol. 35. No. 9. Article 093117.
Kirillov S. Y., Klinshov V.
The Kuramoto model, a paradigmatic framework for studying synchronization, exhibits a transition to collective oscillations only above a critical coupling strength in the thermodynamic limit. However, real-world systems are finite, and their dynamics can deviate significantly from mean-field predictions. Here, we investigate finite-size effects in the Kuramoto model below the critical coupling, where the theory in the thermodynamic limit predicts complete asynchrony. Using a shot-noise approach, we derive analytically the power spectrum of emergent collective fluctuations and demonstrate their dependence on the coupling strength. Numerical simulations confirm our theoretical results, though deviations arise near the critical coupling due to nonlinear effects. Our findings reveal how finite-size fluctuations sustain transient synchronization in regimes where classical mean-field theories fail, offering insights for applications in neural networks, power grids, and other coupled oscillator systems.
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
Pikina E., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2026 Vol. 113 No. 5
In this work, we investigate the elastic properties of deflated vesicles and their shape dynamics in uniaxial extensional flow. By analyzing the Helfrich bending energy and viscous flow stresses in the limit of highly elongated shapes, we demonstrate that all stable vesicle configurations are metastable. For vesicles with small reduced volume, we identify the type ...
Added: September 1, 2026
Basalaev A., Rarovskii A., Journal of Singularities 2026 Vol. 30 P. 61–80
Saito theory associates to an isolated singularity rich structure that plays an important role in mirror symmetry. In this note we construct Saito theory for A and D type Landau-Ginzburg orbifolds. Namely, for the pairs (f,G), where f defines an isolated singularity of A and D type and G is a group of symmetries of ...
Added: September 1, 2026
Rybakov M., Shkatov D., Journal of Logic and Computation 2026 Vol. 36 No. 6 Article exag026
We prove Pi-1-1-hardness, and thus lack of recursive axiomatizability, of constant-domain modal predicate logics defined by a class of Dedekind complete linear Kripke frames containing a frame with an infinitely increasing chain of worlds. The result holds even for the language with one unary predicate letter, one propositional letter, and two individual variables. ...
Added: September 1, 2026
Селянин Ф. И., Moscow Mathematical Journal 2026 Vol. 26 No. 2 P. 167–187
Minkowski mixed volume of n subpolytopes D1,…,Dn of a polytope P⊂Rn clearly does not exceed the normalized volume n!Vol(P). Equality holds if and only if the subpolytopes are interlaced, i.e., each proper face F⊊P intersects at least dim(F)+1 of the polytopes Di. Efficiently computing mixed volumes for more general collections of subpolytopes is crucial for estimating the complexity of numerically solving polynomial systems.
Motivated by relaxing the bound dim(F)+1 to dim(F), we ...
Added: August 31, 2026
Chernyshov A., Padokhin A. M., Grach S. M. et al., Geophysical Research Letters 2026 Vol. 53 P. 1–11
This paper presents the first results of a coordinated experiment on the ionospheric plasma response to high-frequency (HF) overdense heating, conducted using the SURA heating facility and the Ionosfera-M satellite. The experiment combined ground-based observations with in situ satellite measurements, enabling a comprehensive study of artificial ionospheric disturbances. During the experiment, the SURA facility transmitted ...
Added: August 31, 2026
D. A. Dorofeev, A. A. Chernyshov, Mogilevsky M. M. et al., JOURNAL OF GEOPHYSICAL RESEARCH-SPACE PHYSICS 2025 Vol. 130 Article e2025JA033900
This study analyzes data from the ERG (Arase) satellite over a period of nearly 7 years (2017–2023). During this time, about 1,000 cases of hectometric continuum (HMC) radiation in near‐Earth space were detected, which made it possible to identify characteristic features on different time scales. On a daily scale, it was established that HMC is ...
Added: August 31, 2026
Mogilevsky M. M., Shaposhnikov V., Chernyshov A. et al., Physics of Plasmas 2025 Vol. 32 P. 1–10
The ERG (Arase) satellite recently discovered a non-thermal hectometric continuum with a narrowband frequency structure. The mechanism behind the generation of this type of emission in the near-Earth plasma is still unknown. This study examines the potential use of electron cyclotron harmonics instability to explain the line structure of hectometric radio emissions for the first ...
Added: August 31, 2026
Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., International Mathematics Research Notices 2026 Vol. 14 Article rnag146
We prove a recent conjecture of the fourth named author with P. Norbury that states a system of universal polynomial relations among the kappa classes on the moduli spaces of algebraic curves. The proof involves localization and materialization analysis of the spin Gromov–Witten theory of the projective line and is dictated by Z 2 -equivariant ...
Added: August 31, 2026
Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., Communications in Mathematical Physics 2026 Vol. 407 No. 69
We prove that for any initial data on a genus zero spectral curve the cor responding correlation differentials of topological recursion are KP integrable. As an application we prove KP integrability of partition functions associated via ELSV-type formulas to the r-th roots of the twisted powers of the log canonical bundles ...
Added: August 31, 2026
Gromov V., Переслегин С. Б., Переслегина Е. Б. et al., СПб.: Полакс, 2026.
Механизм происходящих в мире изменений носит эволюционный, а не экологический характер. Иначе говоря, Человечество столкнулось с кризисом развития, который имеет три независимые составляющие: кризис индустриального общества (фазовый кризис), кризис научного мышления (эпистемный кризис) и кризис формата существования разума (социосистемный кризис). Доклад посвящён аспектам этого триединого кризиса и возможным путям его преодоления, не сводящимся к первичному ...
Added: August 31, 2026
Devyatov R. A., Mathematical notes 2026 Vol. 119 No. 3 P. 782–786
Let G/B be a flag variety over ℂ, where G is a simple algebraic group with a simply laced Dynkin diagram, and B is a Borel subgroup. We say that the product of classes of Schubert divisors in the Chow ring is multiplicity free if it is possible to multiply it by a Schubert class ...
Added: August 30, 2026
Bayer A., Kuznetsov A., Macrì E., Journal fuer die reine und angewandte Mathematik 2026 Vol. 2026 No. 836 P. 111–162
We give a self-contained and simplified proof of Mukai’s classification of prime Fano threefolds of index 1 and genus g ≥ 6 with at most factorial terminal singularities, and of its extension to higher dimension. ...
Added: August 30, 2026
Bayer A., Kuznetsov A., Macrì E., Compositio Mathematica 2026 Vol. 162 No. 1 P. 59–99
We give a proof of Mukai’s theorem on the existence of certain exceptional vector bundles on prime Fano threefolds. To our knowledge this is the first complete proof in the literature. The result is essential for Mukai’s biregular classification of prime Fano threefolds, and for the existence of semiorthogonal decompositions in their derived categories. Our ...
Added: August 30, 2026
Guseva L., Novikov A., Advances in Mathematics 2026 Vol. 503 Article 111211
We prove that the Kuznetsov–Polishchuk exceptional collections on rational homogeneous spaces of the symplectic groups Sp(2n,C) are full and consist of vector bundles. To achieve this, we construct several classes of complexes, which we call generalized staircase complexes, symplectic staircase complexes and secondary staircase complexes — each of which may be of independent interest. ...
Added: August 30, 2026
Polishchuk A., Rains E., Journal of the Institute of Mathematics of Jussieu 2026 Vol. 25 No. 1 P. 339–373
We prove that for every relatively prime pair of integers (d,r) with r>0, there exists an exceptional pair (O,V) on any del Pezzo surface of degree 4, such that V is a bundle of rank r and degree d. As an application, we prove that every Feigin-Odesskii Poisson bracket on a projective space can be ...
Added: August 30, 2026
Khrapai V., Tikhonov E., Nature Physics 2026 P. 1198–1199
Feng et al.1 presented transport measurements of three-terminal normal–superconductor–normal devices based on topological insulator nanowires. They measured the full differential conductance matrix, defined as Gij = ∂Ii /∂Vj , beyond the linear response regime as a function of various control parameters. Here i, j∈ [1, 2] denote normal terminals biased by the voltages V1 and ...
Added: August 5, 2026
Golubev D., Zaikin A., Beilstein Journal of Nanotechnology 2023 Vol. 14 P. 61–67
Electrons in two different normal metallic electrodes attached to a sufficiently thin superconducting island may become entangled due to the effect of Cooper pair splitting. This phenomenon is of fundamental importance and may also have serious implications for developing quantum communication technologies. One way to identify Cooper pair splitting is to analyze long-range cross correlations ...
Added: April 17, 2024
E. V. Shpagina, Tikhonov E., Ruhstorfer D. et al., Physical Review B: Condensed Matter and Materials Physics 2024 Vol. 109 No. 14 Article L140501
We investigate the impact of transport current on the superconducting order parameter in superconducting islands in full-shell epitaxial Al-InAs nanowires. Depending on the device layout, the suppression of superconductivity occurs in three fundamentally different ways-by a critical current in the case of superconducting reservoirs and by a critical voltage or by a critical Joule power ...
Added: April 2, 2024
Alexandrov A., Chaos, Solitons and Fractals 2023 Vol. 167 P. 113056
Added: December 28, 2023
Bubis A. V., E. V. Shpagina, Nasibulin A. G. et al., Physical Review B: Condensed Matter and Materials Physics 2021 Vol. 104 No. 12 Article 125409
We investigate diffusive nanowire-based structures with two normal terminals on the sides and a central
superconducting island in the middle, which is either grounded or floating. Using a semiclassical calculation
we demonstrate that both device layouts permit a quantitative measurement of the energy dependent subgap
thermal conductance Gth from the spectral density of the current noise. In the ...
Added: April 3, 2023
Denisov A., Bubis A., Piatrusha S. et al., Nanomaterials 2022 Vol. 12 No. 9 Article 1461
Mesoscopic superconductivity deals with various quasiparticle excitation modes, only one of them—the charge-mode—being directly accessible for conductance measurements due to the imbalance in populations of quasi-electron and quasihole excitation branches. Other modes carrying heat or even spin, valley etc. currents populate the branches equally and are charge-neutral, which makes them much harder to control. This ...
Added: April 3, 2023
Tikhonov E., Denisov A. O., Piatrusha S. U. et al., Physical Review B: Condensed Matter and Materials Physics 2020 Vol. 102 P. 1–7
Shot-noise measurements are widely used for the characterization of nonequilibrium configurations in
electronic conductors. The recently introduced quantum tomography approach was implemented for the studies
of electronic wave functions of few-electron excitations created by periodic voltage pulses in phase-coherent
ballistic conductors based on the high-quality GaAs two-dimensional electron gas. Still relying on the manifestation
of Fermi correlations in noise, ...
Added: January 26, 2021
Semenov A. G., Zaikin A., Journal of Superconductivity and Novel Magnetism 2018 Vol. 31 No. 3 P. 711–714
We analyze voltage fluctuations in superconducting nanowires with constrictions. We argue that quantum phase slips occurring in the constriction area are responsible for both equilibrium and non-equilibrium voltage noise in such systems. We evaluate the power spectrum of the voltage noise identifying its non-trivial dependence on both frequency and external bias. ...
Added: October 28, 2020