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Generalized investigation of the rotation-activity relation: Favouring rotation period instead of Rossby numberAug 26 2014Magnetic activity in Sun-like and low-mass stars causes X-ray coronal emission, which is stronger for more rapidly rotating stars. This relation is often interpreted in terms of the Rossby number, i.e., the ratio of rotation period to convective overturn ... More

Spectroscopic characterisation of CARMENES target candidates from FEROS, CAFE and HRS high-resolution spectraJul 29 2016CARMENES (Calar Alto high-Resolution search for M dwarfs with Exoearths with Near-infrared and optical Echelle Spectrographs) started a new planet survey on M-dwarfs in January this year. The new high-resolution spectrographs are operating in the visible ... More

The CARMENES search for exoplanets around M dwarfs - Photospheric parameters of target stars from high-resolution spectroscopyFeb 08 2018The new CARMENES instrument comprises two high-resolution and high-stability spectrographs that are used to search for habitable planets around M dwarfs in the visible and near-infrared regime via the Doppler technique. Characterising our target sample ... More

CARMENES input catalogue of M dwarfs: III. Rotation and activity from high-resolution spectroscopic observationsFeb 06 2018CARMENES is a spectrograph for radial velocity surveys of M dwarfs with the aim of detecting Earth-mass planets orbiting in the habitable zones of their host stars. To ensure an optimal use of the CARMENES Guaranteed Time Observations, in this paper we ... More

Permutation actions on modular tensor categories of topological multilayer phasesAug 20 2018Sep 03 2018We find a non-trivial representation of the symmetric group $S_n$ on the $n$-fold Deligne product $\mathcal{C}^{\boxtimes n}$ of a modular tensor category $\mathcal{C}$ for any $n \geq 2$. This is accomplished by checking that a particular family of $\mathcal{C}^{\boxtimes ... More

The CARMENES search for exoplanets around M dwarfs: Nine new double-line spectroscopic binary starsAug 21 2018Context. The CARMENES spectrograph is surveying ~300 M dwarf stars in search for exoplanets. Among the target stars, spectroscopic binary systems have been discovered, which can be used to measure fundamental properties of stars. Aims. Using spectroscopic ... More

The CARMENES search for exoplanets around M dwarfs. Chromospheric modeling of M2-3 V stars with PHOENIXFeb 11 2019Chromospheric modeling of observed differences in stellar activity lines is imperative to fully understand the upper atmospheres of late-type stars. We present one-dimensional parametrized chromosphere models computed with the atmosphere code PHOENIX ... More

The CARMENES search for exoplanets around M dwarfs - The enigmatic planetary system GJ 4276: One eccentric planet or two planets in a 2:1 resonance?Jan 07 2019We report the detection of a Neptune-mass exoplanet around the M4.0 dwarf GJ 4276 (G 232-070) based on radial velocity (RV) observations obtained with the CARMENES spectrograph. The RV variations of GJ 4276 are best explained by the presence of a planetary ... More

The CARMENES search for exoplanets around M dwarfs: The warm super-Earths in twin orbits around the mid-type M dwarfs Ross 1020 (GJ 3779) and LP 819-052 (GJ 1265)Oct 17 2018We announce the discovery of two planetary companions orbiting around the low mass stars Ross 1020 (GJ 3779, M4.0V) and LP 819-052 (GJ 1265, M4.5V). The discovery is based on the analysis of CARMENES radial velocity observations in the visual channel ... More

The CARMENES search for exoplanets around M dwarfs. A Neptune-mass planet traversing the habitable zone around HD 180617Aug 03 2018Despite their activity, low-mass stars are of particular importance for the search of exoplanets by the means of Doppler spectroscopy, as planets with lower masses become detectable. We report on the discovery of a planetary companion around HD 180617, ... More

Do have nanosatellites a role in detecting exoplanets?Nov 23 2012In December 2012, Austria will launch its first two satellites: UniBRITE and BRITE-Austria. This is the first pair of three, forming a network called BRITE-Constellation. The other pairs being contributed by Canada and Poland. The primary goal of BRITE-Constellation ... More

Fundamental M-dwarf parameters from high-resolution spectra using PHOENIX ACES models: I. Parameter accuracy and benchmark starsJan 08 2016M-dwarf stars are the most numerous stars in the Universe; they span a wide range in mass and are in the focus of ongoing and planned exoplanet surveys. To investigate and understand their physical nature, detailed spectral information and accurate stellar ... More

The CARMENES search for exoplanets around M dwarfs: High-resolution optical and near-infrared spectroscopy of 324 survey starsNov 17 2017Dec 15 2017The CARMENES radial velocity (RV) survey is observing 324 M dwarfs to search for any orbiting planets. In this paper, we present the survey sample by publishing one CARMENES spectrum for each M dwarf. These spectra cover the wavelength range 520--1710nm ... More

The CARMENES search for exoplanets around M dwarfs. First visual-channel radial-velocity measurements and orbital parameter updates of seven M-dwarf planetary systemsOct 04 2017Jan 30 2018Context: The main goal of the CARMENES survey is to find Earth-mass planets around nearby M-dwarf stars. Seven M-dwarfs included in the CARMENES sample had been observed before with HIRES and HARPS and either were reported to have one short period planetary ... More

The CARMENES search for exoplanets around M dwarfs - HD 147379b: A nearby Neptune in the temperate zone of an early-M dwarfDec 15 2017We report on the first star discovered to host a planet detected by radial velocity (RV) observations obtained within the CARMENES survey for exoplanets around M dwarfs. HD 147379 ($V = 8.9$ mag, $M = 0.58 \pm 0.08$ M$_{\odot}$), a bright M0.0V star at ... More

The CARMENES search for exoplanets around M dwarfs: High-resolution optical and near-infrared spectroscopy of 324 survey starsNov 17 2017Feb 09 2018The CARMENES radial velocity (RV) survey is observing 324 M dwarfs to search for any orbiting planets. In this paper, we present the survey sample by publishing one CARMENES spectrum for each M dwarf. These spectra cover the wavelength range 520--1710nm ... More

Mixing and decays of the antidecuplet in the context of approximate SU(3) symmetryJan 03 2005We consider mixing of the antidecuplet with three J^P=1/2^+ octets (the ground-state octet, the octet containing N(1440), \Lambda(1600), \Sigma(1660) and \Xi(1690) and the octet containing N(1710), \Lambda(1800), \Sigma(1880) and \Xi(1950)) in the framework ... More

Spin-Exchange-Relaxation-Free Magnetometry Using Elliptically-Polarized LightMar 13 2009Spin-exchange relaxation free alkali-metal magnetometers typically operate in the regime of high optical density, presenting challenges for simple and efficient optical pumping and detection. We describe a high-sensitivity Rb magnetometer using a single ... More

Effects of the Lorentz invariance violation in Coulomb interaction in nuclei and atomsOct 26 2016Anisotropy in the speed of light (studied in the Michelson-Morley experiment ) generates anisotropy in the Coulomb interaction. This anisotropy manifests itself in the nuclear and atomic experiments. The experimental results for 21Ne are used to improve ... More

K-theory and the Enriched Tits BuildingApr 27 2010May 31 2010Motivated by the splitting principle, we define certain simplicial complexes associated to an associative ring $A$, which have an action of the general linear group $GL(A)$. This leads to an exact sequence, involving Quillen's algebraic K-groups of $A$ ... More

On the theory of pseudogap anisotropy in the cuprate superconductorsApr 14 2004Apr 15 2004We show by means of the theory of the order parameter phase fluctuations that the temperature of "closing" (or "opening") of the gap (and pseudogap) in the electron spectra of superconductors with anisotropic order parameter takes place within a finite ... More

Superconducting properties of the 2D models with different types of inter-particle couplingMay 08 2003The superconducting properties of the 2D fermion system with local and different types of the indirect boson-exchange attractions in the cases of s-wave and d-wave pairing are reviewed and analysed at T=0. In particular, the possibility of the crossover ... More

Temperature-doping phase diagram of layered superconductorsMay 08 2003The superconducting properties of a layered system are analyzed for the cases of zero- and non-zero angular momentum of the pairs. The effective thermodynamic potential for the quasi-2D XY-model for the gradients of the phase of the order parameter is ... More

Threshold singularities in the dynamic response of gapless integrable modelsOct 18 2007Mar 23 2008We develop a method of an asymptotically exact treatment of threshold singularities in dynamic response functions of gapless integrable models. The method utilizes the integrability to recast the original problem in terms of the low-energy properties ... More

New Narrow Nucleon N*(1685)Jul 21 2008Oct 19 2008We argue that the existence of a new narrow (Gamma < 25 MeV) nucleon resonance N*(1685) is strongly supported by recent data on eta photoproduction off the nucleon. The resonance has much stronger photo-coupling to the neutron than to the proton. This ... More

Wide ultrarelativistic plasma beam -- magnetic barrier collision and astrophysical applicationsApr 15 1997The interaction between a wide ultrarelativistic fully-ionized plasma beam and a magnetic barrier is studied numerically. It is assumed that the plasma beam is initially homogeneous and impacts with the Lorentz factor $\Gamma_0\gg 1$ on the barrier. The ... More

Green function of fermions in 2D superconducting Frohlich model with inhomogeneous order parameterJul 24 2000The fermion Green function and spectral characteristics for the 2D Frohlich model of superconductivity at static fluctuations in the phase of the order parameter are calculated. The results demonstrate strongly non-Fermi-liquid properties of the system ... More

On temperature versus doping phase diagram of high critiical temperature superconductorsMar 02 1998The attempt to describe the bell-shape dependence of the critical temperature of high-$T_{c}$ superconductors on charge carriers density is made. Its linear increase in the region of small densities (underdoped regime) is proposed to explain by the role ... More

Electron Spin Resonance investigation of undoped and Li-doped CdWO_4 scintillator crystalsMay 25 2009Electron spin resonance (ESR) spectra of Fe3+ and Mn2+ ions have been studied in the nominally pure and 0.05% Li-doped single crystals of CdWO4. The zero-field splitting parameters are determined with a high precision for both of the impurities. The result ... More

On the Theory of the Pseudogap Formation in 2D Attracting Fermion SystemsJul 18 1997Two-dimensional system of the fermions with the indirect Einstein phonon-exchange attraction and added local four-fermion interaction is considered. It is shown that in such a system at resulting attraction between particles a new nonsuperconducting phase ... More

Superconductivity and superconducting order parameter phase fluctuations in a weakly doped antiferromagnetOct 30 2006The superconducting properties of a recently proposed phenomenological model for a weakly doped antiferromagnet are analyzed, taking into account fluctuations of the phase of the order parameter. In this model, we assume that the doped charge carriers ... More

Classification of integrable Vlasov-type equationsOct 30 2007Jan 12 2008Classification of integrable Vlasov-type equations is reduced to a functional equation for a generating function. A general solution of this functional equation is found in terms of hypergeometric functions.

Modulational instability in cigar shaped Bose-Einstein condensates in optical latticesJun 12 2001Sep 02 2001A self consistent theory of a cigar shaped Bose-Einstein condensate (BEC) periodically modulated by a laser beam is presented. We show, both theoretically and numerically, that modulational instability/stability is the mechanism by which wavefunctions ... More

On exact solutions of the Dirac equation in a homogeneous magnetic field in the Lobachevsky spaceMay 19 2010There are constructed exact solutions of the quantum-mechanical Dirac equation for a spin S=1/2 particle in Riemannian space of constant negative curvature, hyperbolic Lobachevsky space, in presence of an external magnetic field, analogue of the homogeneous ... More

Naive nonabelianization and resummation of fermion bubble chainsNov 05 1994We propose to extend the Brodsky-Lepage-Mackenzie scale-fixing prescription by resumming exactly any number of one-loop vacuum polarization insertions into one-loop diagrams. In this way, one makes maximal use of the information contained in one-loop ... More

Superconducting quantum interference phenomenon in Bi$_2$Sr$_2$CaCu$_2$O$_{8+δ}$ single crystalsAug 16 2005The operational dc-SQUID based on intrinsic Josephson junctions in Bi$_2$Sr$_2$CaCu2O$_{8+\delta}$ high-$T_c$ superconductor is fabricated and studied. The novel in-plane loop layout and the developed in-situ endpoint detection method allowed an accurate ... More

$p$-Adic Haar multiresolution analysisApr 05 2007In this paper, the notion of {\em $p$-adic multiresolution analysis (MRA)} is introduced. We use a ``natural'' refinement equation whose solution (a refinable function) is the characteristic function of the unit disc. This equation reflects the fact that ... More

A solution to the anisotropy problem in bouncing cosmologiesSep 30 2009Bouncing cosmologies are often proposed as alternatives to standard inflation for the explanation of the homogeneity and flatness of the universe. In such scenarios, the present cosmological expansion is preceded by a contraction phase. However, during ... More

Screening in the two-dimensional electron gas with spin-orbit couplingJun 09 2005Dec 15 2005We study the interplay between electron-electron interaction and Rashba spin-orbit coupling in the two-dimensional electron gas. Using the random phase approximation we predict new screening properties of the electron gas which result in extension of ... More

Decays of Long Lived Lightest Supersymmetric Particles in the Galactic HaloSep 11 1996If dark matter neutral LSPs in the galactic halo decay into two body final states containing photons or neutrinos they could be detected even if the decay rates are very small, 10**{-32} per sec. I calculate mass and lifetime bounds from current astrophysical ... More

String Limit of Vortex Current AlgebraDec 21 2000The Poisson structure generating the hamiltonian dynamics of string vortices is reconstructed within the current algebra picture as a limiting case of the standard brackets associated to fluids with a smooth vorticity field. The approach implemented bypasses ... More

The $q$-Fourier transform of $q$-distributionsDec 25 1997Jan 12 1998We consider functions on the lattice generated by the integer powers of $q^2$ for $0<q<1$ and construct the $q$-analog of Fourier transform based on the Jackson integral in the space of distributions on the lattice.

Hard exclusive electroproduction of two pions and their resonancesSep 22 1998Mar 20 1999We study the hard exclusive production of two pions in the virtual photon fragmentation region with various invariant masses including the resonance region. The amplitude is expressed in terms of two-pion light cone distribution amplitudes ($2\pi$DA's). ... More

Search for a scalar or vector particle decaying into Zgamma in ppbar collisions at sqrt(s) = 1.96 TeVJun 03 2008Jan 28 2009We present a search for a narrow scalar or vector resonance decaying into Zgamma with a subsequent Z decay into a pair of electrons or muons. The data for this search were collected with the D0 detector at the Fermilab Tevatron ppbar collider at a center ... More

A novel method for modeling the recoil in W boson events at hadron colliderJul 21 2009Oct 11 2009We present a new method for modeling the hadronic recoil in W->lnu events produced at hadron colliders. The recoil is chosen from a library of recoils in Z->ll data events and overlaid on a simulated W->lnu event. Implementation of this method requires ... More

X-ray variability, viscous time scale and Lindblad resonances in LMXBsJan 12 2005Based on RXTE/ASM and EXOSAT/ME data we studied X-ray variability of persistent LMXBs in the 1e-8 - 1e-1 Hz frequency range, aiming to detect features in their power density spectra (PDS) associated with the viscous time scale of the accretion disk tvisc. ... More

Ultraviolet dominance of power corrections in QCD?Aug 18 1997Aug 19 1997I explain current theoretical ideas on higher-twist (hadronization) corrections to physical observables in QCD.

Light-Cone Sum RulesJan 06 1998A short introduction is given to the method of light-cone sum rules, their theoretical background and main modifications. The discussion is concentrated but not restricted to the applications to heavy quark decays.

Exclusive Semileptonic and Rare Radiative B Decays from QCD Sum RulesOct 25 1995I give an overview of the QCD sum rule predictions for the form factors of B-meson weak decays to light hadrons (and leptons)

Nucleons on the light-cone: Theory and phenomenology of baryon distribution amplitudesAug 21 2006This is a short review of the theory and phenomenology of baryon distribution amplitudes, including recent applications to the studies of nucleon form factors at intermediate momentum transfers using the light-cone sum rule approach.

Soliton-like base pair opening in a helicoidal DNA: An analogy with helimagnet and cholestericsDec 24 2008We propose a model for DNA dynamics by introducing the helical structure through twist deformation in analogy with the structure of helimagnet and cholesteric liquid crystal system. The dynamics in this case is found to be governed by the completely integrable ... More

Nonlinear molecular excitations in a completely inhomogeneous DNA chainJul 16 2008We study the nonlinear dynamics of a completely inhomogeneous DNA chain which is governed by a perturbed sine-Gordon equation. A multiple scale perturbation analysis provides perturbed kink-antikink solitons to represent open state configuration with ... More

Perturbed soliton excitations in DNA molecular chainFeb 17 2006Jul 16 2008We study nonlinear dynamics of a periodic inhomogeneous DNA double helical chain under dynamic plane-base rotator model by considering angular rotation of bases in a plane normal to the helical axis. The dynamics is governed by a perturbed sine-Gordon ... More

Ultra-high energy LSPSep 29 1997We argue that the lightest supersymmetric particles (LSP) can be produced with extremely high energies $E\gsim 10^{10}$ GeV in the Universe at the present epoch. Their most probable sources are decaying superheavy particles produced by topological defects ... More

Electron-neutrino survival probability from solar-neutrino dataAug 13 2001Aug 28 2001With SNO data on electron-neutrino flux from the sun, it is possible to derive the $\nu_e$ survival probability $P_{ee}(E)$ from existing experimental data of Super-Kamiokande, gallium experiments and Homestake. The combined data of SNO and Super-Kamiokande ... More

The Structure and Star-Formation History of NGC 5461Feb 07 2001We compute photoionization models for the giant extragalactic H II region NGC 5461, and compare their predictions to several observational constraints. Since we aim at reproducing not only the global properties of the region, but its local structure also, ... More

"Massive" Higher Spin Multiplets and HolographyFeb 24 2005We review the extrapolation of the single-particle string spectrum on AdS(5)xS(5) to the Higher Spin enhancement point and the successful comparison of the resulting spectrum with the one of single-trace gauge-invariant operators in N=4 supersymmetric ... More

Thermal Vacuum Radiation in Spontaneously Broken Second-Quantized Theories on Curved Phase Spaces of Constant CurvatureApr 24 2009We construct second-quantized (field) theories on coset spaces of pseudo-unitary groups U(p,q)$. The existence of degenerated quantum vacua (coherent states of zero modes) leads to a breakdown of the original pseudo-unitary symmetry. The action of some ... More

Perturbations on and off de Sitter brane in anti-de Sitter bulkJul 11 2016Motivated by holographic models of (pseudo)conformal Universe, we carry out complete analysis of linearized metric perturbations in the time-dependent two-brane setup of the Lykken-Randall type. We present the equations of motion for the scalar, vector ... More

Scalar tilt from broken conformal invarianceJul 20 2010Within recently proposed scenario which explains flatness of the spectrum of scalar cosmological perturbations by a combination of conformal and global symmetries, we discuss the effect of weak breaking of conformal invariance. We find that the scalar ... More

Periodic functions with variable periodJun 08 2010The examples of rhythmical signals with variable period are considered. The definition of periodic function with the variable period is given as a model of such signals. The examples of such functions are given and their variable periods are written in ... More

Local induction approximation in the theory of superfluid turbulence. Numerical considerationMar 31 2003The local induction approximation (LIA) of the Biot-Savart law is often used for numerical and analytical investigations of vortex dynamics in the theory of superfluid turbulence. In this paper, using numerical simulation, some features of the LIA is ... More

Longitudinal and Transverse Nuclear ShadowingOct 01 1996Nuclear shadowing arises from multiple scattering of the hadronic fluctuations of the virtual photon in a nucleus. We predict different longitudinal and transverse shadowing and an A-dependence of R which can be up to a 50% effect. The possibility of ... More

A Note on Self-Dual Yang-Mills TheoryDec 01 2008Dec 07 2008We translate the classical Atiyah-Ward correspondence into the L-infinity language. We extend the correspondence to a quasi-isomorphism between the algebra of the self-dual four-manifold X and the algebra of the holomorphic BF-theory in the twistor space ... More

Straightened law for quantum isotropic Grassmannian OGr^+(5,10)Oct 26 2011Dec 29 2011Projective embedding of an isotropic Grassmannian (or pure spinors) OGr^+(5,10) into projective space of spinor representation S can be characterized with a help of Gamma-matrices by equations Gamma_{alpha beta}^ilambda^{alpha}lambda^{beta}=0. A polynomial ... More

Localization of $\frak{u}$-modules. IV. Localization on $\Bbb{P}^1$Jun 09 1995Dec 09 1995This article is a sequel to hep-th/9411050, q-alg/9412017, q-alg/9503013. Given a collection of $m$ finite factorizable sheaves $\{\CX_k\}$, we construct here some perverse sheaves over configuration spaces of points on a projective line $\BP^1$ with ... More

Simulation of diffraction dissociation in quark-diquark representationFeb 27 2015A low mass single diffraction dissociation mode based on the quark-diquark representation of hadron-nucleon interaction is proposed. The mass spectra of nucleon-pion system are compared with experimental data and predictions of other models. The hadron-nucleus ... More

Set of Uniform Convergence for the Last Intermediate RowNov 24 2004Nov 25 2004Let a(z) be a meromorphic function having in the disk |z|<R precisely \lambda poles. In this work for the (\lambda-1)th row of the Pad\'e table of a(z) the set of uniform convergence is explicitly obtained. The present note is a supplement to the previous ... More

Groundstate projection of the charged SU(2) polarization tensor in a chromomagnetic background fieldJan 10 2012We consider the polarization tensor of a color charged gluon field in SU(2) in the background of a homogeneous color magnetic field and calculate its projection onto the lower (tachyonic) state. We obtain a quite simple representation of the polarization ... More

On Symmetry Restoration at Finite Temperature (Scalar Case)Jul 31 1999Oct 25 1999We investigate the effective potential for a scalar $\Phi^{4}$ theory with spontaneous symmetry breaking at finite temperature. All 'daisy' and 'super daisy' diagrams are summed up and the properties of the corresponding gap eqation are investigated. ... More

High energy electroweak DVCS processes in neutrino-nucleon scatteringMar 10 2007May 08 2007In this work we estimate the differential and total cross sections for the high energy deeply virtual Compton scattering in the weak sector. In the weak neutral sector one considers neutrino scattering off an unpolarized proton target through the exchange ... More

Investigating the exclusive protoproduction of dileptons at high energiesMay 20 2008Using the high energy color dipole approach, we study the exclusive photoproduction of lepton pairs. We use simple models for the elementary dipole-hadron scattering amplitude that captures main features of the dependence on atomic number A, on energy ... More

Polarization tensor of charged gluons in color magnetic background field at finite temperatureJan 15 2008We calculate the polarization tensor of charged gluons in a Abelian homogeneous magnetic background field at finite temperature in one loop order Lorentz background field gauge in full generality. Thereby we first determine the ten independent tensor ... More

Analytical derivation and numerical calculation of the $α_s$-order correction to the non-perturbative equation of state for SU(3) gluon matterDec 19 2010Oct 18 2012In our previous works the effective potential approach for composite operators has been generalized to non-zero temperature in order to derive the analytical equation of state for pure SU(3) Yang-Mills fields without quark degrees of freedom. In the absence ... More

Limiting Energy Loss Distributions for Multiphoton Channeling RadiationJun 05 2015Recent results in the theory of multiphoton spectra for coherent radiation sources are overviewed, with the emphasis on channeling radiation. For the latter case, the importance of the order of resummation and averaging is illustrated. Limiting shapes ... More

Evidence for nonlinear diffusive shock acceleration of cosmic-rays in the 2006 outburst of the recurrent nova RS OphiuchiMay 30 2007Spectroscopic observations of the 2006 outburst of the recurrent nova RS Ophiuchi at both infrared (IR) and X-ray wavelengths have shown that the blast wave has decelerated at a higher rate than predicted by the standard test-particle adiabatic shock-wave ... More

Bernoulli effect in superconductors and Cooper-pair mass spectroscopyMay 07 1996Recently Mishonov (Phys. Rev. B {\bf 50}, 4009 (1994)) suggested to measure the Cooper-pair effective mass using current-induced contact potential difference in superconductors. In this Comment it is shown that actual experiments can be substantially ... More

Domain Walls Motion and Resistivity in a Fully-Frustrated Josephson ArrayOct 28 1997It is identified numerically that the resistivity of a fully-frustrated Josephson-junction array is due to motion of domain walls in vortex lattice rather than to motion of single vortices.

Quantum Geometry and Quantum Mechanics of Integrable SystemsAug 14 2009Quantum integrable systems and their classical counterparts are considered. We show that the symplectic structure and invariant tori of the classical system can be deformed by a quantization parameter $\hbar$ to produce a new (classical) integrable system. ... More

New functional representation for Hubbard model, coherent state and tower of algebrasDec 03 1996New functional representation for the strongly interacting systems is proposed which contains a new type of the quantum coherent state. As a result the new algebraic structure- so called "tower of algebras" appears which gives the tower (or hierarchy) ... More

Superstring representation of Hubbard modelFeb 19 2002The new method of investigation of strongly correlated electronic system is presented. Using this method we have derived thee superstring from 2D Hubbard model. The novel expression for generalized supercoherent state has been calculated.

Exchange Mediated Interaction of Dislocations and Deformation Hardening of Invar AlloysDec 04 2000We propose an explanation of anomalies observed in the behavior of deformation hardening of Invars. An extremely strong volume magnetostriction, typical of Invars, results in an enhancement of the exchange contribution to the energy of the dislocation ... More

Structure of metastable 2D liquid heliumNov 01 2007Jun 25 2008We present diffusion Monte Carlo (DMC) results on a new metastable, superfluid phase above the crystal ground state in two-dimensional 4He at densities > 0.065 1/A^2. The state is anisotropic with hexatic orbital order. This implies that the liquid--solid ... More

An effective-charge model for the trapping of impurities of fluids in channels with nanostructured wallsNov 12 2011Sep 17 2012We present model equations for the trapping and accumulation of particles in a short cylindrical channel with nanostructured inner walls when a fluid passes through, carrying a moderate load of impurities. The basic ingredient of the model is the introduction ... More

Observation of "volume reflection" effect in crystal collimation experimentsFeb 01 2006Strong effect of beam coherent scattering ("reflection") in a field of bent crystal is observed in crystal collimation experiments performed with heavy ions and protons at RHIC and started at Tevatron collider. Detailed simulation using Monte Carlo code ... More

Crystal channeling of LHC forward protons with preserved distribution in phase spaceMar 31 2007We show that crystal can trap a broad (x, x', y, y', E) distribution of particles and channel it preserved with a high precision. This sampled-and-hold distribution can be steered by a bent crystal for analysis downstream. In simulations for the 7 TeV ... More

Verification of crystal collimation model in experimentSep 23 2006The studies of crystal collimation in the experiments at Relativistic Heavy Ion Collider and Tevatron and in computer simulations reveal strong coherent effects observed in a very broad angular range. Our theory explains the effects by coherent scattering ... More

On a chain of fragmentation equations for duplication-mutation dynamics in DNA sequencesJan 15 2015Jun 03 2015Recent studies have revealed that for the majority of species the length distributions of duplicated sequences in natural DNA follow a power-law tail. We study duplication-mutation models for processes in natural DNA sequences and the length distributions ... More

q-Breathers and thermalization in acoustic chains with arbitrary nonlinearity indexAug 01 2010Nonlinearity shapes lattice dynamics affecting vibrational spectrum, transport and thermalization phenomena. Beside breathers and solitons one finds the third fundamental class of nonlinear modes -- $q$-breathers -- periodic orbits in nonlinear lattices, ... More

Acceleration of chemical reaction by chaotic mixingJan 27 2003Theory of fast binary chemical reaction, ${\cal A}+{\cal B}\to{\cal C}$, in a statistically stationary chaotic flow at large Schmidt number ${Sc}$ and large Damk\"ohler number ${Da}$ is developed. For stoichiometric condition we identify subsequent stages ... More

THz emission from a stacked coherent flux-flow oscillator: non-local radiative boundary conditions and the role of geometrical resonancesMay 17 2010I derive simple non-local dynamic boundary conditions, suitable for modelling of radiation emission from stacked Josephson junctions, and employ them for analysis of flux-flow emission from intrinsic Josephson junctions in high-$T_c$ superconductors. ... More

Some group theory problemsApr 22 2007This is a survey of some problems in geometric group theory which I find interesting. The problems are from different areas of group theory. Each section is devoted to problems in one area. It contains an introduction where I give some necessary definitions ... More

A Rigorous Proof of Fermi Liquid Behavior for Jellium Two-Dimensional Interacting FermionsDec 20 1999Using the method of continuous constructive renormalization group around the Fermi surface, it is proved that a jellium two-dimensional interacting system of Fermions at low temperature $T$ remains analytic in the coupling constant $\lambda$ for $|\lambda| ... More

z-Scaling and Prompt J/psi Production at High-pT in bar pp at TevatronMay 24 2004New data on high-pT spectra of J/psi measured by the CDF Collaboration at the Tevatron are analyzed in the framework of z-scaling. F-dependence of z-presentation of the data is used to construct the scaling function of J/psi. The energy independence of ... More

Fractal Collapse in Developed Hydrodynamic TurbulenceSep 26 1996The problem of intermittency in developed hydrodynamic turbulence is considered. Explicit formulae taking into account effects of finite size of the inertial range are presented for the whole set of intermittency exponents. The formulae fit pretty well ... More

On some algebraic problems arising in quantum mechanical description of biological systemsOct 08 2001The biological hierarchy and the differences between living and non-living systems are considered from the standpoint of quantum mechanics. The hierarchical organization of biological systems requires hierarchical organization of quantum states. The construction ... More

Clustering Time Series Data Stream - A Literature SurveyMay 24 2010Mining Time Series data has a tremendous growth of interest in today's world. To provide an indication various implementations are studied and summarized to identify the different problems in existing applications. Clustering time series is a trouble ... More

The polarimetric multi-frequency radio sources propertiesNov 24 2016The polarization properties of extragalactic radio sources at frequencies higher than 20 GHz are still poorly constrained. However, their characterization would provide invaluable information about the physics of the emission processes and is crucial ... More

Models of the Pseudogap State in High - Temperature SuperconductorsAug 23 2004We present a short review of our basic understanding of the physics of copper - oxide superconductors and formulate the list of "solved" and "unsolved" problems. The main problem remains theoretical description of the properties of the normal state, requiring ... More

Models of the Pseudogap State in CupratesDec 17 1999We review a certain class of ("nearly") exactly solvable models of electronic spectrum of two-dimensional systems with fluctuations of short range order of "dielectric" (e.g. antiferromagnetic) or "superconducting" type, leading to the formation of anisotropic ... More