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Classical many-body systems with retarded interactions: dynamical irreversibilitySep 01 2015Sep 20 2015The exact equations of motion for microscopic density of classical many-body system with account of inter-particle retarded interactions are derived. It is shown that interactions retardation leads to irreversible behaviour of many-body systems.

Magnetic strings in Lattice QCD as Nonabelian VorticesJul 09 2007Lattice studies indicate existence of magnetic strings in QCD vacuum. We argue that recently found nonabelian strings with rich worldsheet dynamics provide a proper pattern for the strings observed on the lattice. In particular, within this pattern we ... More

Irreversibility in two-body system. Toy modelNov 30 2017Dec 06 2017It is shown that the irreversible behavior of classical systems of interacting particles is a common property for both few-body and many-body systems. It is due to the delay in the interactions between the particles. PACS: 45.50.Jf Few- and many-body ... More

Non-periodic one-gap potentials in quantum mechanicsMay 21 2015Aug 25 2015We describe a broad class of bounded non-periodic potentials in one-dimensional stationary quantum mechanics having the same spectral properties as periodic potentials. The spectrum of the corresponding Schroedinger operator consists of a finite or infinite ... More

Exact equation for classical many-particle systems in closed form: from mechanics to statistical thermodynamicsJul 17 2014The exact equations of motion for microscopic density of classical particles number with account of inter-particle interactions and external field in closed form are derived. An integral equation for equilibrium distributions of the particles is deduced. ... More

On physical principles and mathematical mechanisms of the phenomenon of irreversibilityOct 22 2018It is shown that the phenomenon of irreversibility in many-body and few-body systems can be explained and described within the framework of the concept of direct (not instantaneous) interaction of particles without using probabilistic hypotheses. The ... More

Exact closed probability-free kinetic equation for system of classical particles with retarded interactions: towards microscopic foundation of kineticsApr 23 2016Jul 22 2016The exact closed equation of motion for microscopic distribution function of classical many-body system with account of interactions retardation between particles is derived. It is shown that interactions retardation leads to irreversible behaviour of ... More

On the status of the Born-Oppenheimer expansion in molecular systems theoryJul 23 2017It is shown that the adiabatic Born-Oppenheimer expansion does not satisfy the necessary condition for the applicability of perturbation theory. A simple example of an exact solution of a problem that can not be obtained from the Born-Oppenheimer expansion ... More

The iron $K_α$-line as a tool for an evaluation of black hole parametersNov 22 2004Recent X-ray observations of microquasars and Seyfert galaxies reveal broad emission lines in their spectra, which can arise in the innermost parts of accretion disks. Simulations indicate that at low inclination angle the line is measured by a distant ... More

Gravitational Microlensing and Dark Matter Problem: Results and PerspectivesDec 01 2002Foundations of standard theory of microlensing are described, namely we consider microlensing stars in Galactic bulge, the Magellanic Clouds or other nearby galaxies. We suppose that gravitational microlenses lie between an Earth observer and these stars. ... More

Macroscopic Einstein equations for a system of interacting particles and their cosmological applicationsFeb 25 2000One of the possible applications of macroscopic Einstein equations has been considered. So, the nonsingular isotropic and uniform cosmological model is built. The cosmological consequences of this model are agree with conclusions of standard hot model ... More

Quasibreathers in MMT modelDec 05 2012We report numerical detection of new type of localized structures in the frame of Majda-McLaughlin-Tabak (MMT) model adjusted for description of essentially nonlinear gravity waves on the surface of ideal deep water. These structures -- quasibreathers, ... More

A fast algorithm of coexisting phases compositions calculation in binary systemsApr 15 2011Apr 25 2011A simple fast algorithm of the conodes calculation in binary systems is proposed. The method is based on exact solution of the problem on common tangent to pair of approximating parabolas. Sequence of approximating parabolas pairs having second order ... More

Superregular solitonic solutions: a novel scenario of the nonlinear stage of Modulation InstabilityNov 07 2012May 13 2013We describe a general N-solitonic solution of the focusing NLSE in the presence of a condensate by using the dressing method. We give the explicit form of one- and two- solitonic solutions and study them in detail. We distinguish a special class of solutions ... More

On the nonlinear stage of Modulation InstabilityDec 06 2012Apr 28 2013We study the nonlinear stage of the modulation instability of a condensate in the framework of the focusing Nonlinear Schr\"{o}dinger Equation. We find a general N-solitonic solution of the focusing NLSE in the presence of a condensate by using the dressing ... More

Cancellation of $1/m_Q$ Corrections to the Inclusive Decay Width of a Heavy QuarkApr 26 1998We consider the infrared sensitivity of the inclusive heavy quark decay width in perturbation theory. It is shown by explicit calculations to the second loop order (when the non-abelian nature of the QCD interactions first become apparent) that all infrared ... More

Generalized Lattice Model of Multi-Component Systems with Internal Degrees of Freedom. I. General considerationSep 09 2008The paper contains the generalization of usual lattice model of multicomponent systems. The generalization is related to account the following factors: 1. The short-range parts of interatomic repulsions. These repulsions are not identical for different ... More

Modeling of hysteresis phenomena in crystalline ferroelectrics: hysteresis loops shape control by means of electric field parametersJul 02 2014Description of domains switching processes in crystalline ferroelectrics by means of relaxation type equations with account of variable external electric field is proposed. Exact solution of these equations in closed analytical form at arbitrary dependence ... More

Signatures of highly inclined accretion disks in Galactic Black Hole Candidates and AGNsApr 25 2003Recent X-ray observations of Galactic Black Hole Candidates and AGNs and Seyfert galaxies reveal the broad emission lines in their spectra, which can arise in the innermost parts of accretion disks. Simulation indicates that at low inclination angle the ... More

Field theoretical representation of classical statistical mechanics. I. Wave-vector spaceJan 01 2009Thermodynamic equivalence between classical many-body system and some auxiliary nonlinear auxiliary field is proved. Connection between Hamiltonians of the many-body system and the auxiliary field is derived.

Ultraviolet-Renormalon ReexaminedApr 11 1994Oct 24 1995We consider large-order perturbative expansions in QED and QCD. The coefficients of the expansions are known to be dominated by the so called ultraviolet (UV) renormalons which arise from inserting a chain of vacuum-polarization graphs into photonic (gluonic) ... More

Free-Surface Hydrodynamics in the conformal variablesJun 10 2012The potential flow of two-dimensional ideal incompressible fluid with a free surface is studied. Using the theory of conformal mappings and Hamiltonian formalism allows us to derive exact equations of surface evolution. Simple form of the equations helped ... More

Generalized Lattice Model of Multi-Component Systems with Internal Degrees of Freedom. II. Quasiequilibrium StatesOct 05 2009The paper contains an application of the generalized lattice model to multicomponent systems with internal degrees of freedom. The short-range inter-atomic repulsions and smooth long-range parts of the inter-atomic potentials are considered separately ... More

Reshaping of a Janus ringFeb 05 2018We consider reshaping of closed Janus filaments acquiring intrinsic curvature upon actuation of an active component -- a nematic elastomer elongating upon phase transition. Linear stability analysis establishes instability thresholds of circles with no ... More

New wind input term consistent with experimental, theoretical and numerical considerationsDec 05 2012We offer a new method for determining the wind source term for energy and momentum fluxes transfer from the atmosphere to the wind-driven sea. This new source-term formulation is based on extensive analysis of experimental data collected at different ... More

Relation between the charge/discharge processes of dust particles and the dynamics of dust clouds over the Moon surfaceJan 22 2014It is shown that the appearance of lunar horizon glow and streamers observed above the lunar terminator described by the dynamic fountain mode byl Stubbs et al. (2006) requires a value of dust particles charge several orders exceed what they obtain on ... More

Programmable Filaments and TextilesMar 14 2019We analyze the various morphing structures obtained by actuating Janus filaments comprising driven and passive sectors and textiles incorporating driven and passive filaments. Transitions between alternative shapes and coexistence of absolutely stable ... More

On the applicability of the Hasselmann kinetic equation to the Phillips spectrumDec 28 2012We investigate applicability of the Hasselmann kinetic equation to the spectrum of surface gravity waves at different levels of nonlinearity in the system, which is measured as average steepness. It is shown that even in the case of relatively high average ... More

Surface operators and magnetic degrees of freedom in Yang-Mills theoriesJun 18 2008Jul 02 2009Magnetic degrees of freedom are manifested through violations of the Bianchi identities and associated with singular fields. Moreover, these singularities should not induce color non-conservation. We argue that the resolution of the constraint is that ... More

Textures and shapes in nematic elastomers under the action of dopant concentration gradientsAug 13 2016We explore a novel strategy of patterning nematic elastomers that does not require inscribing the texture directly. It is based on varying the dopant concentration that, beside shifting the phase transition point, affects the nematic director field via ... More

The iron $K_α$ lines as a tool for magnetic field estimations in non-flat accretion flowsNov 22 2004Observations of AGNs and microquasars by ASCA, RXTE, Chandra and XMM-Newton indicate the existence of broad X-ray emission lines of ionized heavy elements in their spectra. Such spectral lines were discovered also in X-ray spectra of neutron stars and ... More

Nemato-elastic crawlersDec 01 2015A propagating "beam" triggering a local phase transition in a nematic elastomer sets it into a crawling motion, which may morph due to buckling. We consider the motion of the various configurations of slender rods and thin stripes with both uniform and ... More

Reshaping nemato-elastic sheetsApr 14 2015We consider three-dimensional reshaping of thin nemato-elastic sheets containing half-charged defects upon nematic-isotropic transition. Gaussian curvature, that can be evaluated analytically when the nematic texture is known, differs from zero in the ... More

Flux-Tube Formation and Holographic TunnelingMay 06 2008We consider correlator of two concentric Wilson loops, a small and large ones related to the problem of flux-tube formation. There are three mechanisms which can contribute to the connected correlator and yield different dependences on the radius of the ... More

Dust levitation above the lunar surface: role of charge fluctuationsJun 29 2017The most likely cause of levitation of dust above the surface of atmosphereless planets is the electrostatic mechanism. However, the crucial problem in the explanation of this effect is a determination of the reason why a large electric charge (units ... More

Variable-lattice model of multi-component systems. 1. General considerationMar 13 2010The paper contains a development of the previously proposed generalized lattice model (GLM). In contrast to usual lattice models, the difference of the specific atomic volumes of the components is taken in account in GLM. In addition to GLM, the dependence ... More

Conformal Cosmological Model Test with Distant SNIa DataNov 21 2006Assuming that supernovae type Ia (SNe Ia) are standard candles one could use them to test cosmological theories. The Hubble Space Telescope team analyzed 186 SNe Ia (Riess et al. (2004)) to test the standard cosmological model (SC) and evaluate its parameters. ... More

Observational Features of Black HolesJul 28 2005Recently considered a very attracting possibility to detect retro-MACHOs, i.e. retro-images of the Sun by a Schwarzschild black hole. In this paper we discuss glories (mirages) formed near rapidly rotating Kerr black hole horizons and propose a procedure ... More

Mirages around Kerr black holes and retro-gravitational lensesNov 17 2004Recently Holz & Wheeler (2002) considered a very attracting possibility to detect retro-MACHOs, i.e. retro-images of the Sun by a Schwarzschild black hole. In this paper we discuss glories (mirages) formed near rapidly rotating Kerr black hole horizons ... More

Low- and high-temperature anomalies in the physical properties of solid methaneAug 27 2017Sep 10 2017Near 20.48K and in the temperature range 60--70K, anomalous behavior of thermodynamic, spectral, plastic, elastic and other properties of solid methane is observed. The anomalies in the vicinity of 20.48K are due to the phase $\alpha-\beta$ transition. ... More

Weak turbulence of gravity wavesAug 27 2003For the first time weak turbulent theory was demonstrated for the surface gravity waves. Direct numerical simulation of the dynamical equations shows Kolmogorov turbulent spectra as predicted by analytical analysis from kinetic equation.

Flexible helical yarn swimmersJul 06 2016Jul 07 2016We investigate the motion of a flexible Stokesean flagellar swimmer realised as a yarn made of two intertwined elastomer fibres, one active, that can reversibly change its length in response to a local excitation causing transition to the nematic state ... More

Decay of the monochromatic capillary waveAug 27 2003It was demonstrated by direct numerical simulation that, in the case of weakly nonlinear capillary waves, one can get resonant waves interaction on the discrete grid when resonant conditions are never fulfilled exactly. The waves's decay pattern was obtained. ... More

Mesoscopic phase separation in La2CuO4.02 - a 139La NQR studyMar 10 2000May 30 2000In crystals of La2CuO4.02 oxygen diffusion can be limited to such small length scales, that the resulting phase separation is invisible for neutrons. Decomposition of the 139La NQR spectra shows the existence of three different regions, of which one orders ... More

Dynamics of inertial waves in rotating fluidsApr 25 2016We suggest the Hamiltonian formalism for inertial waves in rotating incompressible fluid, found three-wave interaction amplitudes and study in details the resonance three-wave interaction processes - decay instability and confluence of two waves - that ... More

Coexistence of Weak and Strong Wave Turbulence in a Swell PropagationMay 19 2007By performing two parallel numerical experiments -- solving the dynamical Hamiltonian equations and solving the Hasselmann kinetic equation -- we examined the applicability of the theory of weak turbulence to the description of the time evolution of an ... More

Numerical Verification of the Weak Turbulent Model for Swell EvolutionFeb 16 2007Jul 13 2007The purpose of this article is numerical verification of the theory of weak turbulence. We performed numerical simulation of an ensemble of nonlinearly interacting free gravity waves (swell) by two different methods: solution of primordial dynamical equations ... More

Communication through plasma sheathsApr 24 2007Dec 30 2010We wish to transmit messages to and from a hypersonic vehicle around which a plasma sheath has formed. For long distance transmission, the signal carrying these messages must be necessarily low frequency, typically 2 GHz, to which the plasma sheath is ... More

Stability of Triple Star Systems with Highly Inclined OrbitsFeb 22 2003Jul 17 2007It is well established that certain detached eclipsing binary stars exhibit apsidal motions whose value is in disagreement with with calculated deviations from Keplerian motion based on tidal effects and the general theory of relativity. Although many ... More

Numerical simulation of surface waves instability on a discrete gridDec 10 2012Oct 24 2015We perform full-scale numerical simulation of instability of weakly nonlinear waves on the surface of deep fluid. We show that the instability development leads to chaotization and formation of wave turbulence. We study instability both of propagating ... More

Weak Turbulent Kolmogorov Spectrum for Surface Gravity WavesAug 27 2003Apr 06 2004We study the long-time evolution of gravity waves on deep water exited by the stochastic external force concentrated in moderately small wave numbers. We numerically implement the primitive Euler equations for the potential flow of an ideal fluid with ... More

Complete Hamiltonian formalism for inertial waves in rotating fluidsApr 25 2016May 04 2017Complete Hamiltonian formalism is suggested for inertial waves in rotating incompressible fluid. Resonance three-wave interaction processes -- decay instability and confluence of two waves -- are shown to play a key role in the weakly nonlinear dynamics ... More

Constraining the range of Yukawa gravity interaction from S2 star orbits III: improvement expectations for graviton mass boundsJan 15 2018Jan 16 2018Recently, the LIGO-Virgo collaboration discovered gravitational waves and in their first publication on the subject the authors also presented a graviton mass constraint as $m_g < 1.2 \times 10^{-22}$ eV (Abbott et al., 2016). In the paper we analyze ... More

Final state interaction effects in $D(e,e'p)$ scatteringSep 15 1994We present a systematic study of the final-state interaction (FSI) effects in $D(e,e'p)$ scattering in the CEBAF energy range with particular emphasis on the phenomenon of the angular anisotropy of the missing momentum distribution. We find that FSI effects ... More

Chiral Vortical Effect in SuperfluidMar 28 2012Jul 13 2012We consider rotating superfluid pionic liquid, with superfluidity being induced by isospin chemical potential. The rotation is known to result in a chiral current flowing along the axis of the rotation. We argue that in case of superfluidity the chiral ... More

Anomaly and long-range forcesDec 03 2013We consider infrared dependences of chiral effects, like chiral magnetic effect, in chiral media. The main observation is that there exist competing infrared-sensitive parameters, sometimes not apparent. The value of the chiral effects depends in fact ... More

Quantum entanglement in SU(3) lattice Yang-Mills theory at zero and finite temperaturesApr 06 2011We examine the entanglement properties of the Yang-Mills theory by calculating $\alpha$ entanglement entropy with $\alpha=2$ using a SU(3) quenched lattice gauge simulation both in the confinement and the deconfinement phases. In the confinement phase, ... More

Quadrupole deformation of deuterons and final state interaction in $^2 \vec H (e,e'p)$ scattering on tensor polarized deuterons at CEBAF energiesJan 18 1995The strength of final state interaction (FSI) between struck proton and spectator neutron in $^2\vec{H}(e,e'p)$ scattering depends on the alignment of the deuteron. We study the resulting FSI effects in the tensor analyzing power in detail and find substantial ... More

Predictions for the forward cone in diffractive DISSep 18 1998We calculate the diffraction slope $B_{D}$ for diffractive DIS. We find a counterintuitive rise of $B_{D}$ from exclusive diffractive excitation of vector mesons to excitation of continuum states with $M^{2} \sim Q^{2}$. For the small-mass continuum we ... More

Non-Canonical Hamiltonian Structure and Poisson Bracket for 2D Hydrodynamics with Free SurfaceSep 03 2018We consider Euler equations for potential flow of ideal incompressible fluid with a free surface and infinite depth in two dimensional geometry. Both gravity forces and surface tension are taken int account. A time-dependent conformal mapping is used ... More

Exactly solvable model of the ferroelectrics hysteresis loops control by the external electric fieldJun 18 2013The kinetic theory of switching processes in crystalline ferroelectric materials under the influence of a variable external electric field is formulated. The basic equations are derived and their exact analytical solution at arbitrary time-dependent external ... More

Constraining the range of Yukawa gravity interaction from S2 star orbitsNov 05 2013We consider possible signatures for Yukawa gravity within the Galactic Central Parsec, based on our analysis of the S2 star orbital precession around the massive compact dark object at the Galactic Centre, and on the comparisons between the simulated ... More

Constraints on $R^n$ gravity from precession of orbits of S2-like starsJun 05 2012We study some possible observational signatures of $R^n$ gravity at Galactic scales and how these signatures could be used for constraining this type of $f(R)$ gravity. For that purpose, we performed two-body simulations in $R^n$ gravity potential and ... More

Evidence for multiband superconductivity in the heavy fermion compound UNi2Al3Mar 25 2004Aug 02 2004Epitaxial thin films of the heavy fermion superconductor UNi2Al3 with Tc{max}=0.98K were investigated. The transition temperature Tc depends on the current direction which can be related to superconducting gaps opening at different temperatures. Also ... More

Evolution of One-Dimensional Wind-Driven Sea SpectraMar 27 2016We analyze modern operational models of wind wave prediction on the subject for compliance dissipation. Our numerical simulations from the "first principle" demonstrate that heuristic formulas for damping rate of free wind sea due to "white capping" (or ... More

Bright fibrils in Ca II KMay 19 2009Context: Except for the Ca II resonance lines, fibrils are ubiquitously present in most high-resolution observations of chromospheric lines. Aims: We show that fibrils are also a prevailing feature in Ca II K, provided the spatial-resolution is sufficiently ... More

Theory of weakly damped free-surface flows: a new formulation based on potential flow solutionsApr 25 2007Several theories for weakly damped free-surface flows have been formulated. In this paper we use the linear approximation to the Navier-Stokes equations to derive a new set of equations for potential flow which include dissipation due to viscosity. A ... More

Simple classification of final state interaction effects in $^4He(e,e'p)$ scatteringAug 08 1994The radius of interaction between the struck proton and spectator nucleons is close to the radius of short-distance two-nucleon correlations in nuclear matter, which makes final state interaction(FSI) an important background to production of protons with ... More

Perceptual Attention-based Predictive ControlApr 26 2019In this paper, we present a novel information processing architecture for end-to-end visual navigation of autonomous systems. The proposed information processing architecture is used to support a perceptual attention-based predictive control algorithm ... More

Collision of two breathers at surface of deep waterJan 23 2012We applied canonical transformation to water wave equation not only to remove cubic nonlinear terms but to simplify drastically fourth order terms in Hamiltonian. This transformation explicitly uses the fact of vanishing exact four waves interaction for ... More

Brightness, distribution, and evolution of sunspot umbral dotsDec 02 2008We present a 106-minute TiO (705.7nm) time series of high spatial and temporal resolution that contains thousands of umbral dots (UDs) in a mature sunspot in the active region NOAA 10667 at $\mu$=0.95. The data were acquired with the 1-m Swedish Solar ... More

Higgs Decay into Two Photons through the W-boson Loop: No Decoupling in the m_W --> 0 LimitSep 08 2011Dec 21 2011We reanalyze the W-boson loop in the amplitude of the Higgs decay into two photons to show the absence of decoupling in the limit of massless W bosons, m_W --> 0. The Higgs coupling to longitudinal polarizations survive in this limit and generates a nonvanishing ... More

On Infrared Effects in de~Sitter BackgroundMar 29 1994We have estimated higher order quantum gravity corrections to de~Sitter spacetime. Our results suggest that, while the classical spacetime metric may be distorted by the graviton self-interactions, the corrections are relatively weaker than previously ... More

On the contribution of microlensing to X-ray variability of high-redshifted QSOsMar 10 2004Mar 17 2004We consider a contribution of microlensing in X-ray variability of high-redshifted QSOs. Such an effect could be caused by stellar mass objects (SMO) located in a bulge or/and in a halo of this quasar as well as at cosmological distances between an observer ... More

Do final state interactions obscure short range correlation effects in quasielastic $A(e,e'p)$ scattering?Aug 17 1995Are short range correlations in the ground state of the target nucleus (initial state correlations ISC)observable inexperiments on quasielastic $A(e,e'p)$ scattering at large missing momentum $p_{m}$? Will the missing momentum spectrum observed at CEBAF ... More

On the theory of ferroelectric solid solutionsDec 02 2010The paper contains an application of lattice model to ferroelectric solid solutions. Short-range parts of interatomic potentials are taken into account by means the lattice structure introduction. Long-range parts are considered in effective field approximation. ... More

Microlensing of the X-ray, UV and optical emission regions of quasars: Simulations of the time-scales and amplitude variations of microlensing eventsJan 29 2008We consider the influence of microlensing on different spectral bands of lensed QSOs. We assumed that the emitting X-ray, UV and optical regions are different in size, but that the continuum emission in these spectral bands is originating from an accretion ... More

Searches of stellar mass dark matter from an analysis of variabilities of high red-shifted QSOsJun 18 2004We consider a contribution of microlensing to the X-ray variability of high-redshifted QSOs. Such an effect could be caused by stellar mass objects (SMO) located in a bulge or/and in a halo of this quasar as well as at cosmological distances between an ... More

Super compact equation for water wavesNov 30 2015We derive very simple compact equation for gravity water waves which includes nonlinear wave term (`a la NLSE) and advection term (may results in wave breaking).

Integrable equations and classical S-matrixApr 12 2012Apr 27 2012We study amplitudes of five-wave interactions for evolution Hamiltonian equations differ from the KdV equation by the form of dispersion law. We find that five-wave amplitude is canceled for all three known equations (KdV, Benjamin-Ono and equation of ... More

Notes on chiral hydrodynamics within effective theory approachDec 09 2010We address the issue of evaluating chiral effects (such as the newly discovered chiral separation) in hydrodynamic approximation. The main tool we use is effective theory which defines interaction in terms of chemical potentials $\mu,\mu_5$. In the lowest ... More

Entanglement entropy of SU(3) Yang-Mills theoryNov 13 2009We calculate the entanglement entropy using a SU(3) quenched lattice gauge simulation. We find that the entanglement entropy scales as $1/l^2$ at small $l$ as in the conformal field theory. Here $l$ is the size of the system, whose degrees of freedom ... More

The Vacuum of de~Sitter SpaceMay 10 1994May 13 1994To resolve infrared problems with the de~Sitter invariant vacuum, we argue that the history of the de~Sitter phase is crucial. We illustrate how either (1)~the diagonalization of the Hamiltonian for long-wavelength modes or (2)~an explicit modification ... More

Universal pattern in (e,e'p) at large missing momenta: quasi-deuteron or diffractive final state interactions?Aug 22 1995The intrinsic single particle momentum distributions in nuclei are supposed to show a universal behavior at large momenta, dominated by short-range correlated pairs, or quasi-deuterons. We discuss whether the quasi-deuteron universality survives the final ... More

The apparent Coulomb reacceleration of neutrons in electrodissociation of the deuteronOct 17 1994We demonstrate that the final state $p$-$n$ interaction in the reaction of electrodissociation of the deuteron at large $Q^{2}$ in a static external field leads to the apparent reacceleration of neutrons. The shift of the neutron velocity from the velocity ... More

Azimuthal asymmetry as a new handle on $σ_{L}/σ_{T}$ in diffractive DISDec 01 1998We propose a new method of the determination of $R^{D}=\sigma_{L}^{D}/\sigma_{T}^{D}$ from the dependence of the diffractive cross section on the azimuthal angle between the electron scattering and proton scattering planes. The method is based on our ... More

Cosmological Consequences of Conformal General RelativityNov 26 2000We consider cosmological consequences of a conformal-invariant unified theory which is dynamically equivalent to general relativity and is given in a space with the geometry of similarity. We show that the conformal-invariant theory offers new explanations ... More

Exactly solvable model of uniaxial ferroelectricsMay 04 2011An exactly solvable lattice model with infinite-range potential is applied to uniaxial ferroelectrics. Asymptotically exact expression for free energy as a function of an order parameter at any temperatures is obtained. Effect of thermal expansion of ... More

Sign problem in finite density lattice QCDNov 24 2016The canonical approach, which was developed for solving the sign problem, may suffer from a new type of sign problem. In the canonical approach, the grand partition function is written as a fugacity expansion: $Z_G(\mu,T) = \sum_n Z_C(n,T) \xi^n$, where ... More

Sgr A$^*$: a laboratory to measure the central black hole and cluster parametersMay 03 2007Several stars orbit around a black hole candidate of mass $3.7\times 10^6$ M$_{\odot}$, in the region of the Galactic Center (GC). Looking for General Relativistic (GR) periastron shifts is limited by the existence of a stellar cluster around the black ... More

Low-frequency internal friction (LFIF) as express-method for identification of cryocrystals in pores of the solidsAug 28 2015Apr 09 2016We show that studying of low-frequency internal friction (LFIF) of solid samples at low temperatures allows determining the presence of various gases absorbed, for some reasons, in pores and caverns of the solids. The gases come over to a solid state ... More

Abnormal behavior of crystalline methane in temperature interval $60-70~K$. From experiment to theoryApr 21 2014Apr 29 2014The paper presents an analysis of mechanical, structural, thermophysical and spectral properties of solid methane in temperature interval $0.5T_{tr} -T_{tr}$ ($T_{tr}$ is the triple point temperature) under equilibrium vapor pressure. It is shown that ... More

Estimating the parameters of the Sgr A* black holeNov 06 2010The measurement of relativistic effects around the galactic center may allow in the near future to strongly constrain the parameters of the supermassive black hole likely present at the galactic center (Sgr A*). As a by-product of these measurements it ... More

Mesoscopic wave turbulenceAug 22 2005Nov 16 2005We report results of sumulation of wave turbulence. Both inverse and direct cascades are observed. The definition of "mesoscopic turbulence" is given. This is a regime when the number of modes in a system involved in turbulence is high enough to qualitatively ... More

Spontaneous radiatively induced breaking of conformal invariance in the Standard ModelNov 19 2014A mechanism of radiatively induced breaking of the conformal symmetry in the Standard Model is suggested. The system of one scalar (Higgs) and one fermion (top-quark) fields with Yukawa and $\phi^4$ interactions is considered. The infrared instability ... More

Detection of Exoplanets in M31 with Pixel-Lensing: The Event Pa-99-N2 CaseJan 13 2010We show that exoplanets in the M31 galaxy may be detected with the pixel-lensing method by using telescopes making high cadence observations of an ongoing microlensing event. Although the mean mass for detectable exoplanets is about $2 M_{\rm {J}}$, even ... More

Pixel-lensing as a way to detect extrasolar planets in M31Jun 05 2009We study the possibility to detect extrasolar planets in M31 through pixel-lensing observations. Using a Monte Carlo approach, we select the physical parameters of the binary lens system, a star hosting a planet, and we calculate the pixel-lensing light ... More

Direct Measurements of Black Hole Charge with Future Astrometrical MissionsMay 13 2005Oct 19 2005Recently, Zakharov et al. (2005) considered the possibility of evaluating the spin parameter and the inclination angle for Kerr black holes in nearby galactic centers by using future advanced astrometrical instruments. A similar approach which uses the ... More

Influence of magnification threshold on pixel lensing optical depth, event rate and time scale distributions towards M31Mar 24 2005Pixel lensing is the gravitational microlensing of light from unresolved stars contributing to the luminosity flux collected by a single pixel. A star must be sufficiently magnified, that is, the lens impact parameter must be less than a threshold value ... More

Solar system constraints on R$^n$ gravityNov 02 2006Recently, gravitational microlensing has been investigated in the framework of the weak field limit of fourth order gravity theory. However, solar system data (i.e. planetary periods and light bending) can be used to put strong constraints on the parameters ... More