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Current statistics in the q-boson zero range process
Journal of Physics A: Mathematical and Theoretical. 2020. Vol. 53. No. 36. P. 365203.
Trofimova A., Povolotsky A. M.
We obtain exact formulas of the first two cumulants of particle current in the q-boson zero range process on a ring via exact perturbative solution of the TQ-equation. The result is represented as an infinite sum of double contour integrals. We perform the asymptotic analysis of the large system size limit N → ∞ of the expressions obtained. For |q| ≠ 1 the leading terms of the second cumulant reproduce the $N^3/2$ scaling expected for models in the Kardar–Parisi–Zhang universality class. The scaling $q \asymp \exp (-\alpha/\sqrt{N})$ corresponds to the crossover between the Kardar–Parisi–Zhang and Edwards–Wilkinson universality classes. Under this scaling the sum converges to an integral, resulting in the crossover scaling function derived previously for the asymmetric simple exclusion process and conjectured to be universal.
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
Martinez-Saito M., Algorithms 2025 Vol. 18 No. 12 Article 741
Detecting trajectories of hierarchical structures in a dynamical system of multiple interacting particles is an open problem that is typically addressed by imposing strong constraints on the structures to be found. Here, we describe BUNCH, a dynamical filtering algorithm that can efficiently and on-the-fly fit dynamical trajectories of multiple particles to a tree structure of ...
Added: December 1, 2025
Bychkov A., Nekrasov B., Physical Review D - Particles, Fields, Gravitation and Cosmology 2026 Vol. 113 No. 6 Article 066007
We continue to explore the previously suggested dual regime of Yang-Baxter (YB) deformed $\OO(2N)$ sigma models, which is a new one-parametric deformation of the $\OO(2N)$ model. It can be obtained from the conventional YB deformed $\OO(2N+2)$ sigma model by freezing two isometries. The scattering matrix in the non-deformed $\OO(n)$ model is known coincide with the ...
Added: October 14, 2025
Povolotsky A. M., Journal of Statistical Mechanics: Theory and Experiment 2023 Vol. 2023 No. 3 Article 033103
This work continues the study started in Povolotsky (2021 J. Phys. A: Math. Theor. 54 22LT01), where the exact densities of loops in the O(1) dense loop model on an infinite strip of the square lattice with periodic boundary conditions were obtained. These densities are also equal to the densities of critical percolation clusters on ...
Added: March 25, 2024
B. Feigin, L. Rybnikov, F. Uvarov, Letters in Mathematical Physics 2024 Vol. 114 No. 1 Article 3
We show that the construction of the higher Gaudin Hamiltonians associated with the Lie algebra gl(n) admits an interpolation to any complex number n. We do this using the Deligne’s category D(t), which is a formal way to define the category of finite-dimensional representations of the group GL(n), when n is not necessarily a natural number. We also obtain ...
Added: January 12, 2024
Povolotsky A. M., Pyatov P. N., Tribe R. et al., Annales de l'institut Henri Poincare (B) Probability and Statistics 2025 Vol. 61 No. 2 P. 967–1020
Many continuous reaction-diffusion models on Z (annihilating or coalescing random walks, exclusion processes, voter
models) admit a rich set of Markov duality functions which determine the single time distribution. A common feature of these models is that their generators are given by sums of two-site idempotent operators. In this paper, we classify all continuous time Markov ...
Added: December 20, 2023
A A Trofimova, A M Povolotsky, Journal of Physics A: Mathematical and Theoretical 2022 Vol. 55 No. 2 Article 025202
We consider the particle current in the asymmetric avalanche process on a ring. It is known to exhibit a transition from the intermittent to continuous flow at the critical density of particles. The exact expressions for the first two scaled cumulants of the particle current are obtained in the large time limit t → ∞ ...
Added: August 15, 2022
А. М. Поволоцкий, Физика элементарных частиц и атомного ядра 2021 Т. 52 № 2 С. 459–529
This review gives a survey of some results about systems of interacting particles and
the laws characterizing their behavior on large scales, which are common for a number of
phenomena uniˇed under the notion of the KardarÄParisiÄZhang universality class. ...
Added: August 15, 2022
André M., Léo Planche, Stochastic Processes and their Applications 2021 Vol. 131 P. 292–310
We consider a continuous-time stochastic model of spiking neurons originally introduced by Ferrari et al. in [8]. In this model, we have a finite or countable number of neurons which are vertices in some graph G where the edges indicate the synaptic connection between them. We focus on metastability, understood as the property for the ...
Added: November 17, 2021
Vorobyeva M., Manita A., Journal of Physics: Conference Series 2021 Vol. 1740 No. 1 P. 1–6
We consider a discrete time Markov process describing dynamics in a society of K agents with special opinion exchange rules. In the limit as K goes to infinity, we prove that the process converges to some limiting dynamical system and afterwards we discuss some properties of that system. ...
Added: June 23, 2021
Feigin B. L., Jimbo M., Mukhin E., Journal of Physics A: Mathematical and Theoretical 2017 Vol. 50 No. 46 Article 464001
We identify the Taylor coefficients of the transfer matrices corresponding to quantum toroidal algebras with the elliptic local and non-local integrals of motion introduced by Kojima, Shiraishi, Watanabe, and one of the authors.
That allows us to prove the Litvinov conjectures on the Intermediate Long Wave model.
We also discuss the (gl(m),gl(n)) duality of XXZ models in ...
Added: November 5, 2020
Povolotsky A. M., Journal of Statistical Mechanics: Theory and Experiment 2019 No. 074003 P. 1–22
We establish the exact laws of large numbers for two time additive quantities in the raise and peel model, the number of tiles removed by avalanches and the number of global avalanches happened by given time. The validity of conjectures for the related stationary state correlation functions then follow. The proof is based on the ...
Added: October 8, 2019
Liashyk A., Slavnov N. A., Journal of High Energy Physics 2018 Vol. 06 No. 018 P. 1–31
We consider quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing gl_3-invariant R-matrix. We study a new recently proposed approach to construct on-shell Bethe vectors of these models. We prove that the vectors constructed by this method are semi-on-shell Bethe vectors for arbitrary values of Bethe parameters. They thus do become on-shell vectors provided ...
Added: September 13, 2018
Hutsalyuk A., Liashyk A., Pakuliak S. Z. et al., SciPost Physic (Нидерланды) 2018 Vol. 4 No. 006 P. 1–30
We obtain recursion formulas for the Bethe vectors of models with periodic boundary conditions solvable by the nested algebraic Bethe ansatz and based on the quantum affine algebra U_q(gl_n). We also present a sum formula for their scalar products. This formula describes the scalar product in terms of a sum over partitions of the Bethe parameters, ...
Added: September 13, 2018
Hutsalyuk A., Liashyk A., Pakuliak S. Z. et al., Nuclear Physics B 2018 Vol. 926 P. 256–278
We study quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing gl(m|n)-invariant R-matrix. We compute the norm of the Hamiltonian eigenstates. Using the notion of a generalized model we show that the square of the norm obeys a number of properties that uniquely fix it. We also show that a Jacobian of the system ...
Added: September 13, 2018
Pavel Pyatov, Povolotsky A. M., Rittenberg V., Journal of Statistical Mechanics: Theory and Experiment 2018 Vol. 2018 No. 053107 P. 1–26
We study the large deviation functions for two quantities characterizing the avalanche dynamics in the Raise and Peel model: the number of tiles removed by avalanches and the number of global avalanches extending through the whole system. To this end, we exploit their connection to the groundstate eigenvalue of the XXZ model with twisted boundary ...
Added: July 17, 2018
A.V.Zabrodin, Zotov A. V., Liashyk A. et al., Theoretical and Mathematical Physics 2017 Vol. 192 No. 2 P. 1141–1153
We discuss the correspondence between models solved by the Bethe ansatz and classical integrable systems of the Calogero type. We illustrate the correspondence by the simplest example of the inhomogeneous asymmetric six-vertex model parameterized by trigonometric(hyperbolic) functions. ...
Added: October 26, 2017