Accuracy of one-dimensional collision integral in the rigid spheres approximation

The accuracy of calculation of spectral line shapes in one-dimensional approximation is studied analytically in several limiting cases for arbitrary collision kernel and numerically in the rigid spheres model. It is shown that the deviation of the line profile is maximal in the center of the line in case of large perturber mass and intermediate values of collision frequency. For moderate masses of buffer molecules the error of one-dimensional approximation is found not to exceed 5%.Comment: LaTeX, 24 pages, 8 figure

Expanded Strings in the Background of NS5-branes via a M2-brane, a D2-brane and D0-branes

Classical configurations of a M2-brane, a D2-brane and D0-branes are investigated in the background of an infinite array of M5-branes or NS5-branes. On the M2-brane, we discuss three kinds of configurations, such as a sphere, a cylinder and a torus-like one. These are stabilized by virtue of the background fluxes of M5-branes. The torus-like M2-brane configuration has winding and momentum numbers of 11th direction, and in terms of the type IIA superstring theory, this corresponds to a torus-like D2-brane with electric and magnetic fluxes on it. We also reproduce the same configuration from a non-abelian Born-Infeld action for D0-branes. It will be a construction of closed strings from D0-branes. An electric flux quantization condition on the D2-brane is also discussed in terms of D0-branes.Comment: 33 pages, 6 figures, references and footnote added, confusing expressions and introduction are improved, version to appear in JHE

Directed current due to broken time-space symmetry

We consider the classical dynamics of a particle in a one-dimensional space-periodic potential U(X) = U(X+2\pi) under the influence of a time-periodic space-homogeneous external field E(t)=E(t+T). If E(t) is neither symmetric function of t nor antisymmetric under time shifts $E(t \pm T/2) \neq -E(t)$, an ensemble of trajectories with zero current at t=0 yields a nonzero finite current as $t\to \infty$. We explain this effect using symmetry considerations and perturbation theory. Finally we add dissipation (friction) and demonstrate that the resulting set of attractors keeps the broken symmetry property in the basins of attraction and leads to directed currents as well.Comment: 2 figure

Nature of the light scalar mesons

Despite the apparent simplicity of meson spectroscopy, light scalar mesons cannot be accommodated in the usual $q\bar q$ structure. We study the description of the scalar mesons below 2 GeV in terms of the mixing of a chiral nonet of tetraquarks with conventional $q\bar q$ states. A strong diquark-antidiquark component is found for several states. The consideration of a glueball as dictated by quenched lattice QCD drives a coherent picture of the isoscalar mesons.Comment: 14 pages, 1 figure, accepted for publication in Phys. Rev.

MICROSATELLITES-BASED EVALUATION OF THE PEAR CULTIVARS SELECTED FROM NIKITSKY BOTANICAL GARDENS GERMPLASM BY THEIR ECONOMICALLY VALUABLE CHARACTERISTICS

Mobilization and preservation of genetic sources of diversity of the cultivated pear varieties and their wild relatives is one of the main aspects of new cultivars breeding for modern intensive horticulture. The crucial matter during a new cultivar creation goes to the selection of parental pairs, which obtain a complex of positive features. The aim of this work is to study the Gene Fund collection of pear plantings from Nikitsky Botanical Gardens in accordance with the main economically important traits and to select the most valuable genotypes for using them in breeding programs as a starting material, as well as to conduct a DNA-fingerprinting and the analyses of genetic polymorphism of promising cultivars from the collection of pear with implementing of microsatellite analyses. As a result of long-term studies the following cultivars were selected in accordance with the complex of features promising for the breeding program: Gvardeiskaya Zimnyaya, Izuminka Kryma, Izumrudnaya, Kelmenchanka, Krymskaya Aromatnaya, Krymskaya Medovaya, Lazurnaya, Maria, Mriya, Nadezhda Stepi, Nezabudka, Novosadovskaya, Oreanda Kryma, Otechestvennaya, Tauschaya, Yakimovskaya. The samples of these cultivars were forwarded for genotyping. For the genetic polymorphism analyses of the studied cultivars, seven microsatellite DNA-markers – EMPc108, EMPc117, EMPc115, CH04e03 and CH01d09, CH01f07a, CH01d08 – grouped into 2 multiplex sets were used. The SSR-markers were significantly different according to their level of polymorphism – from 3 (CH04e03 marker) to 11 (EMPc115) alleles per a gene locus were revealed, the effective number of alleles varying from 1.37 to 4.65. Based on SSR-markers polymorphism analysis data, the rate of genetic similarity of the studied pear cultivars was estimated. This evaluation research helped estimate genetic relations inside the studied sample collection of genotypes. The SSR-fingerprints of the cultivars obtained will be used as a starting material for the creation of DNA-passports database of the “NBG – NSC” Gene Fund collection of pear cultivars

Transport of a Luttinger liquid in the presence of a time dependent impurity

We show that the macroscopic current and charge can be formulated as a Quantum Mechanical zero mode problem. We find that the current is given by the velocity operator of a particle restricted to move around a circle. As an explicit example we investigate a Luttinger liquid of length $L$ which is perturbed by a time dependent impurity. Using the statistical mechanics of zero modes we computed the non-equilibrium current. In particular we show that in the low temperature limit, $L_T/L>1$, the zero mode method introduced here becomes essential for computing the current

External voltage sources and Tunneling in quantum wires

We (re) consider in this paper the problem of tunneling through an impurity in a quantum wire with arbitrary Luttinger interaction parameter. By combining the integrable approach developed in the case of Quantum Hall edge states with the introduction of radiative boundary conditions to describe the adiabatic coupling to reservoirs, we are able to obtain the exact equilibrium and non equilibrium current. One of the most striking features observed is the appearance of negative differential conductances out of equilibrium in the strongly interacting regime g <=.2. In spite of the various charging effects, a remarkable form of duality is still observed. New results on the computation of transport properties in integrable impurity problems are gathered in appendices. In particular, we prove that the TBA results satisfy a remarkable relation, originally derived using the Keldysh formalism, between the order T^2 correction to the current out of equilibrium and the second derivative of this current at T=0 with respect to the voltage.Comment: 16 pages, 7 figure

Exploration of Possible Quantum Gravity Effects with Neutrinos II: Lorentz Violation in Neutrino Propagation

It has been suggested that the interactions of energetic particles with the foamy structure of space-time thought to be generated by quantum-gravitational (QG) effects might violate Lorentz invariance, so that they do not propagate at a universal speed of light. We consider the limits that may be set on a linear or quadratic violation of Lorentz invariance in the propagation of energetic neutrinos, v/c=[1 +- (E/M_\nuQG1)] or [1 +- (E/M_\nu QG2}^2], using data from supernova explosions and the OPERA long-baseline neutrino experiment.Comment: 8 pages, 6 figures, proceedings for invited talk by A.Sakharov at DISCRETE'08, Valencia, Spain; December 200