Maintenance of Plasma Layer in Intersected Microwave Beams in the Range of Frequency from 10 to 60 GHz: Analysis and Simulation

Plasma Chemistry and Plasma Processing - The paper presents the results of theoretical analysis and numerical modeling of physical processes occurring in microwave discharge supported in two...     

Weighted Fourier inequalities: Boas’ conjecture in ℝ<Superscript><Emphasis Type="Italic">n</Emphasis></Superscript>

Weighted L ^p (ℝ ⁿ ) → L ^q (ℝ ⁿ ) Fourier inequalities are studied. We prove Pitt-Boas type results on integrability with power weights of the Fourier transform of a radial function. Extensions to general weights are also given.     

The influence of nanotubes with various chirality on solvent structure

The structural and dynamic properties of solutions of electrolytes close to single-walled carbon nanotubes was studied by the method of molecular dynamics. The influence of nanotube chirality on the structure of solutions was analyzed.     

Stability of bars with variable rigidity compressed by a distributed force

A variable cross-section bar is considered. The bar is not uniform in length. The bar is compressed by a variable longitudinal force distributed along its axis. The stability loss in the straightline shape of the bar’s equilibrium is discussed when a curved shape is also possible. The critical combination between rigidity and the longitudinal force is a result of using an integral representation for the solution to the original stability equation with variable coefficients with the aid of the solution to a similar equation with constant coefficients. The integral representation contains the Green function of the original equation. This function is determined by the method of perturbations. The numerical results obtained by the derived formulas are compared with the known exact solutions to the stability equations for various particular cases.     

Transfer of quantum correlations in nonunitary evolution

A generalized Lindblad equation has been derived for describing the evolution of two dynamical systems interacting with a bath formed by two broadband modes of squeezed light in an entangled state. The transfer of quantum correlations, in particular, entanglement between the bath and dynamic systems, which are taken in the form of two electromagnetic field modes separated by two high-Q cavities, two atoms, and an atom and a mode, has been analyzed. It has been found that the entanglement of the bath is transferred both to two modes and to two atoms, which can form an almost perfect Einstein-Podolsky-Rosen pair. It has been shown that the interaction of the bath with the system consisting of an atom and a mode for which collective boson operators are introduced leads to the appearance of coherent and squeezed states.     

Density of states and zero Landau Level probed through capacitance of graphene

We report capacitors in which a finite electronic compressibility of graphene dominates the electrostatics, resulting in pronounced changes in capacitance as a function of magnetic field and carrier concentration. The capacitance measurements have allowed us to accurately map the density of states D, and compare it against theoretical predictions. Landau oscillations in D are robust and zero Landau level (LL) can easily be seen at room temperature in moderate fields. The broadening of LLs is strongly affected by charge inhomogeneity that leads to zero LL being broader than other levels.     

Heavy ion beam scanning system of DC-110 accelerator

A heavy ion acceleration complex for industrial applications based on the DC-110 cyclotron has been developed at the Laboratory of Nuclear Reactions, Joint Institute for Nuclear Research. It is planned to irradiate polymer films with a width of up to 600 mm at this complex. This paper presents a design of a system for scanning heavy ion beam which offers uniform film irradiation at a beam energy of up to 2.5 MeV/nucleon. The general concept of the two-channel scanning system and the design of the main deflecting magnets are described.     

Relaxation of an atom and a cavity mode in an entangled environment

The master equation is derived for an atom and a single high-Q cavity mode interacting with the bath modes produced by a two-mode broadband source based on two degenerate optical parametric oscillators. The relaxation superoperator, found in the resonant and dispersive limits, contains new terms describing correlations between the atom and the cavity mode. Collective coherent states are introduced to show that squeezed states of the atom-cavity subsystem are generated via interaction with an entangled environment. It is shown that a correlated initial state of the atom and the cavity mode manifests itself in two cavity QED phenomena: spontaneous atomic emission in the strong-coupling regime and population inversion in the Jaynes-Cummings model.