Budkov Y., Kolesnikov A. L., Journal of Statistical Mechanics: Theory and Experiment 2021 Vol. 2021 Article 063213
Using the path integral approach, we obtain the characteristic functions of the gyration radius distributions for Gaussian star and Gaussian rosette macromolecules. We derive the analytical expressions for cumulants of both distributions. Applying the steepest descent method, we estimate the probability distribution functions (PDFs) of the gyration radius in the limit of a large number ...
Added: June 30, 2021
Zlotnik A., Zlotnik I. A., Доклады Академии наук 2012 Т. 447 № 2 С. 130-135
Уравнение Шрёдингера играет важную роль в квантовой механике, ядерной и волновой физике, в нанотехнологиях и др. Часто его приходится решать в неограниченных областях. Для этой цели разработано немало подходов, использующих приближенные прозрачные граничные условия (ПГУ) на искусственных границах. К числу лучших из них относятся дискретные ПГУ, для которых отражения от искусственных границ полностью отсутствуют, вычисления ...
Added: November 19, 2012
Kolesnikov A. L., Budkov Y., Mollmer J. et al., Journal of Physical Chemistry C 2019 Vol. 123 No. 16 P. 10333-10338
In this manuscript, we study the electrically induced breathing of Metal-Organic Framework (MOF) within a 2D lattice model. The Helmholtz free energy of the MOF in electric eld consists of two parts: the electrostatic energy of the dielectric body in the external electric eld and elastic energy of the framework. The rst contribution is calculated ...
Added: April 1, 2019
Brilliantov N. V., Rubi J. M., Budkov Y., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2020 Vol. 101 No. 4 P. 042135-1-042135-7
Using the integral transformation, the field-theoretical Hamiltonian of the statistical field theory of fluids is obtained, along with the microscopic expressions for the coefficients of the Hamiltonian. Applying this approach to the liquid-vapor interface, we derive an explicit analytical expression for the surface tension in terms of temperature, density and parameters of inter-molecular potential. We ...
Added: April 1, 2020
Musaev E., Trachenko K., Bolmatov D., Scientific Reports 2013 Vol. 3
A fundamental task of statistical physics is to start with a microscopic Hamiltonian, predict the system's statistical properties and compare them with observable data. A notable current fundamental challenge is to tell whether and how an interacting Hamiltonian predicts different energy spectra, including solid, liquid and gas phases. Here, we propose a new idea that ...
Added: October 20, 2014
Apenko S.M., Journal of Physics A: Mathematical and Theoretical 2008 Vol. 41 P. 315301
The vacuum angle θ renormalization is studied for a toy model of a quantum
particle moving around a ring, threaded by a magnetic flux θ. A novel type
of renormalization group (RG) transformation is introduced by coupling the
particle to an additional slow variable, which may also be viewed as a part of a
device, which ‘measures’ the particle’s ...
Added: October 23, 2014
Eminov P. A., Журнал экспериментальной и теоретической физики 2009 Т. 135 № 5 С. 1029-1036
Построена квантовая теория экранирования кулоновского поля точечного заряда в намагниченном электронном газе квантового цилиндра. Вычислены асимптотики экранированного потенциала, как для вырожденного, так и для больцмановского газа. Показано, что в вырожденном случае результат наряду с известной квазиклассической монотонной частью содержит квантовую осциллирующую часть, которая соответствует осцилляциям Фриделя. Дано аналитическое описание осцилляций Ааронова-Бома экранированного кулоновского потенциала неподвижного ...
Added: January 4, 2013
Eminov P. A., Sezonov Y. I., Ul’din A., Russian Journal of Mathematical Physics 2009 Vol. 16 No. 4 P. 563-565
An analytic description of Aharonov – Bohm oscillation of the Coulomb potential of an immovable point charge in a magnetized Electronic gas of quantum cylinder is given. ...
Added: December 31, 2012
Losiakov V., Теоретическая и математическая физика 2016 Т. 187 № 2 С. 310-322
We consider a model of a real massive scalar field defined as homogeneous on a d-dimensional sphere such that the sphere radius, time scale, and scalar field are related by the equations of the general theory of relativity. We quantize this system with three degrees of freedom, define the observables, and find dynamical mean values ...
Added: September 28, 2016
Budkov Y., Journal of Physics: Condensed Matter 2020 Vol. 32 No. 5 P. 055101-1-055101-8
In this paper, we formulate a field-theoretical model of dilute salt solutions of electrically neutral spherical colloid particles. Each colloid particle consists of a 'central' charge that is situated at the center and compensating peripheral charges (grafted to it) that are fixed or fluctuating relative to the central charge. In the framework of the random ...
Added: October 12, 2019
Budkov Y., Journal of Physics: Condensed Matter 2018 Vol. 30 No. 34 P. 1-9
We present a nonlocal statistical field theory of a dilute electrolyte solution with a small
additive of dipolar particles. We postulate that every dipolar particle is associated with an
arbitrary probability distribution function (PDF) of distance between its charge centers.
Using the standard Hubbard–Stratonovich transformation, we represent the configuration
integral of the system in the functional integral form. We ...
Added: July 31, 2018
Enatskaya N., М. : Юрайт, 2017
...
Added: December 22, 2017
Окубо Ю. undefined., Journal of Physics: Conference Series 2017 Vol. 804 No. 012036 P. 1-8
We investigate the existence and the orthogonality of the generalized Jack symmetric functions which play an important role in the AGT relations. We show their orthogonality by deforming them to the generalized Macdonald symmetric functions. ...
Added: October 26, 2017
Andrew G. Semenov, Zaikin A., Physical Review B: Condensed Matter and Materials Physics 2013 Vol. 88 No. 5 P. 054505-1-054505-10
We investigate the effect of interacting quantum phase slips on persistent current and its fluctuations in ultrathin superconducting nanowires and nanorings pierced by the external magnetic flux. We derive the effective action for these systems and map the original problem onto an effective sine-Gordon theory on torus. We evaluate both the flux dependent persistent current ...
Added: February 9, 2015
Marshakov A., Миронов А. Д., Морозов А. Ю., Journal of Geometry and Physics 2011 Vol. 61 P. 1203-1222
We present a summary of current knowledge about the AGT relations for conformal blocks with additional insertion of the simplest degenerate operator, and a special choice of the corresponding intermediate dimension, when the conformal blocks satisfy hypergeometric-type differential equations in position of the degenerate operator. A special attention is devoted to representation of conformal block ...
Added: February 28, 2013
Prazdnichnykh A., Glazov M., Ren L. et al., Physical Review B: Condensed Matter and Materials Physics 2021 Vol. 103 No. 8 P. 085302-1-085302-12
The exciton valley dynamics in van der Waals heterostructures with transition metal dichalcogenide monolayers is driven by the long-range exchange interaction between the electron and the hole in the exciton. It couples the states active in the opposite circular polarizations resulting in the longitudinal-transverse splitting of excitons propagating in the monolayer plane. Here we study ...
Added: March 5, 2021
Pelinovsky E., Didenkulova I., Rybkin A., Journal of Fluid Mechanics 2014 Vol. 748 P. 416-432
We present an exact analytical solution of the nonlinear shallow water theory for wave run-up in inclined channels of arbitrary cross-section, which generalizes previous studies on wave run-up for a plane beach and channels of parabolic cross-section. The solution is found using a hodograph-type transform, which extends the well-known Carrier–Greenspan transform for wave run-up on ...
Added: November 19, 2014
Slunyaev A., Кокорина А. В., Water Waves, Springer 2019 P. 1-20
The issue of accounting of the wave breaking phenomenon in direct numerical simulations of oceanic waves is discussed. It is emphasized that this problem is crucial for the deterministic description of waves, and also for the dynamical calculation of extreme wave statistical characteristics, such as rogue wave height probability, asymmetry, etc. The conditions for accurate ...
Added: October 13, 2019
Budkov Y., Kolesnikov A. L., Polymer Science - Series C 2018 Vol. 60 No. Supplement 1 P. 148-159
Theoretical models of the conformational behavior of flexible polymer chains in mixed solvents enunciated in the world literature during the last decade are critically reviewed. Models describing different mechanisms of coil-to-globule transitions in a good solvent induced by cosolvent addition are highlighted. Special attention is given to the analysis of theoretical approaches to describing the ...
Added: November 30, 2018
М. : ИКИ РАН, 2011
Added: March 26, 2013
Akhmedov E., Musaev E. T., Physical Review D - Particles, Fields, Gravitation and Cosmology 2010 Vol. 81 P. 085010
We show that Polchinski equations in the D-dimensional matrix scalar field theory can be reduced at large N to the Hamiltonian equations in a (D+1)-dimensional theory. In the subsector of the Trϕl (for all l) operators we find the exact form of the corresponding Hamiltonian. The relation to the holographic renormalization group is discussed. ...
Added: February 27, 2013
Bodrova A., Osinsky A., Brilliantov N., Scientific Reports 2020 Vol. 10 Article 693
We study analytically and numerically the distribution of granular temperatures in granular mixtures for
different dissipation mechanisms of inelastic inter-particle collisions. Both driven and force-free systems
are analyzed. We demonstrate that the simplified model of a constant restitution coefficient fails to
predict even qualitatively a granular temperature distribution in a homogeneous cooling state. At the
same time we reveal ...
Added: February 25, 2020
Min Namkung, Younghun K., Scientific Reports 2018 Vol. 8 No. 1 P. 16915-1-16915-18
Sequential state discrimination is a strategy for quantum state discrimination of a sender’s quantum
states when N receivers are separately located. In this report, we propose optical designs that can
perform sequential state discrimination of two coherent states. For this purpose, we consider not
only binary phase-shifting-key (BPSK) signals but also general coherent states, with arbitrary prior
probabilities. Since ...
Added: November 16, 2020
Musaev E., Berman D. S., Thompson D. C., Journal of High Energy Physics 2012 Vol. 1210
The reduction of the duality invariant approach to M-theory by a U-duality group valued
Scherk-Schwarz twist is considered. We show that all gaugings of SUGRA can be obtained
by dimensional reduction of the extended space. ...
Added: October 20, 2014