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## Correspondence between Dicke-model semiclasscial dynamics in the superradiant dipolar phase and the Euler heavy top

Physical Review A: Atomic, Molecular, and Optical physics. 2023. Vol. 107.

Mukhin S., Mukherjee A., Seidov S.

Mukhin S., Mukherjee A., Seidov S., Journal of Experimental and Theoretical Physics 2021 Vol. 132

Added: September 17, 2023

Seidov S., Mukhin S., Annals of Physics 2023 Vol. 456

Added: September 17, 2023

Seidov S., Mukhin S., Journal of Physics A: Mathematical and Theoretical 2020 Vol. 53

Added: September 17, 2023

Ludmila I. Kuzmina, Osipov Y., International Journal for Computational Civil and Structural Engineering 2016 Vol. 12 No. 3 P. 145-150

Filtration problem of suspension with identical particles in a porous medium is considered. Physical and mathematical models for size-exclusion capture mechanism of suspended particles at the inlet of filter pores are presented. An exact solution is constructed for the forward and back flow of suspension in a porous medium in case of linear filtration coefficient. ...

Added: December 26, 2016

Irina Utkina, Mikhail Batsyn, Ekaterina Batsyna, , in : Discrete Optimization and Operations Research/9th International Conference, DOOR 2016, Vladivostok, Russia, September 19-23, 2016, Proceedings. : Springer, 2016. P. 244-255.

We consider a fractional 0-1 programming problem arising in manufacturing. The problem consists in clustering of machines together with parts processed on these machines into manufacturing cells so that intra-cell processing of parts is maximized and inter-cell movement is minimized. This problem is called Cell Formation Problem (CFP) and it is an NP-hard optimization problem ...

Added: October 3, 2018

Liudmila Kuzmina, Osipov Y., , in : XXVII R-S-P Seminar, Theoretical Foundation of Civil Engineering (27RSP) (TFoCE 2018). Vol. 196.: EDP Sciences, 2018. Ch. 04003. P. 1-6.

A one-dimensional model for the deep bed filtration of a
monodisperse suspension in a porous medium with variable porosity and
permeability and multiple pore-blocking mechanisms is considered. It is
assumed that the small pores are clogged by separate particles; pores of
medium size, exceeding the diameter of the particles, can be blocked by
arched bridges, forming stable structures at the ...

Added: October 29, 2018

S. S. Seidov, Mukhin S. I., Physical Review A: Atomic, Molecular, and Optical physics 2024 Vol. 109 No. 2 Article 022210

Quantum batteries, which are quantum systems to be used for storage and transformation of
energy, are attracting research interest recently. A promising candidate for their investigation is
the Dicke model, which describes an ensemble of two–level systems interacting with a single–mode
electromagnetic wave in a resonator cavity. In order to charge the battery, a coupling between
the ensemble of ...

Added: April 24, 2024

Liudmila Kuzmina, Osipov Y., , in : BIO Web of Conferences: Volume 107:19th International Conference Water and Wastewater: Transportation, Treatment, Management “Yakovlev Readings” (YRC-2024). Vol. 107.: EDP Sciences, 2024. Ch. 03003.

The formation of grout sediment in the pores of loose rock increases the water resistance of the soil and strengthens the foundation. A one-dimensional model of filtration in a porous medium considers the particles transport by the flow of a carrier fluid and the deposition of particles on the framework of a porous medium. The ...

Added: June 27, 2024

Irina E. Utkina, Mikhail V. Batsyn, Ekaterina K. Batsyna, International Journal of Production Research 2018 Vol. 56 No. 9 P. 3262-3273

The Cell Formation Problem (CFP) is an important optimisation problem in manufacturing. It has been introduced in the Group Technology (GT) and its goal is to group machines and parts processed on them into production cells minimising the movement of parts to other cells for processing and maximising for each cell the loading of its ...

Added: March 11, 2018

Kuzmina L., Osipov Y., , in : Proceedings of the 8th International Technical Conference on Frontiers of HCET 2023. Advances in Transdisciplinary Engineering, Volume 43. : IOS Press, 2023. P. 450-455.

Suspension and colloid filtration in porous rocks is encountered in problems of underground hydromechanics associated with construction. The formation of grout sediment in the pores of loose rock increases the water resistance of the soil and strengthens the foundation. A one-dimensional model of filtration in a porous medium considers the particles transport by the flow ...

Added: June 27, 2024

Abrashkin A. A., Discrete and Continuous Dynamical Systems 2019 Vol. 39 No. 8 P. 4443-4453

A class of non-stationary surface gravity waves propagating in the
zonal direction in the equatorial region is described in the f -plane approx
imation. These waves are described by exact solutions of the equations of
hydrodynamics in Lagrangian formulation and are generalizations of Gerstner
waves. The wave shape and non-uniform pressure distribution on a free sur
face depend on two ...

Added: June 19, 2019

Nazaikinskii V., BEDRIKOVETSKY P., LIUDMILA I. KUZMINA et al., SIAM Journal on Applied Mathematics 2020 Vol. 80 No. 5 P. 2120-2143

An initial-boundary value problem for a quasilinear system describing deep bed ltration of a monodisperse suspension in a medium with pores of various sizes is investigated analytically.
The ltration function is assumed to have power-law type while tending to zero with the power index
lower than one. We found that this assumption has two consequences: (i) the ...

Added: January 7, 2021

L.I. Kuzmina, Nazaikinskii V. E., Osipov Y. V., Russian Journal of Mathematical Physics 2019 Vol. 26 No. 1 P. 130-134

We consider an initial{boundary value problem for a simple semilinear ltration
equation with nonunique characteristics and prove that uniqueness nevertheless holds for the
solution of this problem. The solution is then constructed by quadratures. ...

Added: February 14, 2019

Rabinowitch A. S., Journal of Mathematical Physics 2016 Vol. 57 P. 083103-1-083103-6

Added: October 5, 2019

Abrashkin A. A., Journal of Physics A: Mathematical and Theoretical 2022 Vol. 55 No. 41 Article 415701

An analytical description of unsteady edge waves over a uniform slope is proposed. It is assumed that the waves are excited by time-harmonic external pressure with inhomogeneous spatial distribution. The problem is considered in Lagrangian variables. An exact solution of the hydrodynamic equations is obtained. It generalizes the stationary Gerstner–Constantin solution. The proposed model describes the dynamics of coastal splashes ...

Added: October 13, 2022

L I Kuzmina, Osipov Y., , in : VII International Symposium Actual Problems of Computational Simulation in Civil Engineering. Vol. 456.: IOP Publishing, 2018. Ch. 012052. P. 1-6.

Filtration describes a variety of the construction complex problems: strengthening
loose soil to create a solid foundation, the movement of groundwater with solid impurities near
underground structures, and many others. A model of two-sized deep bed filtration particles
moving with different velocities in a porous medium with three-size pores is considered. The
competition of pores and various size particles ...

Added: January 18, 2019

D. S. Shapiro, Pogosov W. V., Yu. E. Lozovik, Physical Review A: Atomic, Molecular, and Optical physics 2020 Vol. 102 No. 2 P. 023703-1-023703-15

In view of recent proposals for the realization of anisotropic light-matter interaction in such platforms as (i) nonstationary or inductively and capacitively coupled superconducting qubits, (ii) atoms in crossed fields, and (iii) semiconductor heterostructures with spin-orbital interaction, the concept of a generalized Dicke model, where coupling strengths of rotating wave and counter-rotating wave terms are ...

Added: October 30, 2020

Galkin O., Galkina S., / Cornell University. Series math "arxiv.org". 2020. No. arXiv:2012.07174.

This short communication (preprint) is devoted to mathematical study of evolution equations that are important for mathematical physics and quantum theory; we present new explicit formulas for solutions of these equations and discuss their properties. The results are given without proofs but the proofs will appear in the longer text which is now under preparation.
In ...

Added: December 13, 2020

Utkina I. E., Batsyn M. V., Программные продукты, системы и алгоритмы 2017 № 4 С. 1-10

The Cell Formation Problem (CFP) is an NP-hard optimization problem considered for cellular man- ufacturing systems. Because of its high computational complexity there have been developed a lot of heuristics and almost no exact algorithms for solving this problem. In this paper we suggest a branch- and-bound algorithm which provides exact solutions for the CFP ...

Added: October 18, 2017

Shapiro D. S., Rubtsov A. N., Remizov S. V. et al., Physical Review A: Atomic, Molecular, and Optical physics 2019 Vol. 99 No. 6 Article 063821

The analysis of single-mode photon fluctuations and their counting statistics at the superradiant phase transition is presented. The study concerns the equilibrium Dicke model in a regime where the Rabi frequency, related to a coupling of the photon mode with a finite-number qubit environment, plays the role of the transition's control parameter. We use the ...

Added: October 29, 2021