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Vol 125, No 2 (2017)

Atoms, Molecules, Optics

Extraordinary light transmission through a metal film perforated by a subwavelength hole array

Zyablovskii A.A., Pavlov A.A., Klimov V.V., Pukhov A.A., Dorofeenko A.V., Vinogradov A.P., Lisyanskii A.A.

Abstract

It is shown that, depending on the incident wave frequency and the system geometry, the extraordinary transmission of light through a metal film perforated by an array of subwavelength holes can be described by one of the three mechanisms: the “transparency window” in the metal, excitation of the Fabry–Perot resonance of a collective mode produced by the hybridization of evanescence modes of the holes and surface plasmons, and excitation of a plasmon on the rear boundary of the film. The excitation of a plasmon resonance on the front boundary of the metal film does not make any substantial contribution to the transmission coefficient, although introduces a contribution to the reflection coefficient.

Journal of Experimental and Theoretical Physics. 2017;125(2):175-188
pages 175-188 views

Spectra for the reemission of attosecond and shorter electromagnetic pulses by multielectron atoms

Makarov D.N., Matveev V.I.

Abstract

Based on the analytical solution of the Schrödinger equation, we have considered the reemission of attosecond and shorter electromagnetic pulses by multielectron atoms in the sudden perturbation approximation. We have developed a technique of calculating the spectra for the reemission of attosecond and shorter electromagnetic pulses by neutral multielectron atoms with nuclear charges from 1 to 92. The results are presented in the form of analytical formulas dependent on several coefficients and screening parameters tabulated for all of the atoms whose electron densities are described by the well-known Dirac–Hartree–Fock–Slater model. As examples we have calculated the spectra for the reemission by lithium, carbon, calcium, and iron atoms for two types of incident pulse: Gaussian and “sombrero.”

Journal of Experimental and Theoretical Physics. 2017;125(2):189-194
pages 189-194 views

Formation of correlated states and tunneling for a low energy and controlled pulsed action on particles

Vysotskii V.I., Vysotskyy M.V.

Abstract

We consider a method for optimizing the tunnel effect for low-energy particles by using coherent correlated states formed under controllable pulsed action on these particles. Typical examples of such actions are the effect of a pulsed magnetic field on charged particles in a gas or plasma. Coherent correlated states are characterized most comprehensively by the correlation coefficient r(t); an increase of this factor elevates the probability of particle tunneling through a high potential barrier by several orders of magnitude without an appreciable increase in their energy. It is shown for the first time that the formation of coherent correlated states, as well as maximal |r(t)|max and time-averaged 〈|r(t)|〉 amplitudes of the correlation coefficient and the corresponding tunneling probability are characterized by a nonmonotonic (oscillating) dependence on the forming pulse duration and amplitude. This result makes it possible to optimize experiments on the realization of low-energy nuclear fusion and demonstrates the incorrectness of the intuitive idea that the tunneling probability always increases with the amplitude of an external action on a particle. Our conclusions can be used, in particular, for explaining random (unpredictable and low-repeatability) experimental results on optimization of energy release from nuclear reactions occurring under a pulsed action with fluctuations of the amplitude and duration. We also consider physical premises for the observed dependences and obtain optimal relations between the aforementioned parameters, which ensure the formation of an optimal coherent correlated state and optimal low-energy tunneling in various physical systems with allowance for the dephasing action of a random force. The results of theoretical analysis are compared with the data of successful experiments on the generation of neutrons and alpha particles in an electric discharge in air and gaseous deuterium.

Journal of Experimental and Theoretical Physics. 2017;125(2):195-209
pages 195-209 views

Improvement of the optical image reconstruction based on multiplexed quantum ghost images

Balakin D.A., Belinsky A.V., Chirkin A.S.

Abstract

Ghost imaging allows one to obtain information on an object from the spatial correlation function between photons propagating through or reflected from the object and photons of the reference arm. In this case, detection in the object arm is performed over the entire aperture of the beam and, therefore, it does not give information on the object. The reference beam does not interact with the object, but is recorded with a scanning point detector or a CCD array permitting the measurement of the spatial correlation function of photons in two arms. The use of multimode entangled quantum light beams by illuminating the object by one beam and orienting other beams to reference arms makes it possible to obtain simultaneously several ghost images (GIs). Cross correlations of multiplexed GIs (MGIs) are determined by eighth-order field correlation functions. A special algorithm is developed for calculating higher-order correlations of Bose operators. The presence of GI cross correlations is used for improving the quality of the reconstructed object’s image by their processing using the measurement reduction method. An example of the computer simulation of the image reconstruction by MGIs formed in the field of four-frequency entangled quantum states is considered. It is found that in this case the reduced GI has a signal-to-noise ratio several times higher than that of GIs.

Journal of Experimental and Theoretical Physics. 2017;125(2):210-222
pages 210-222 views

Coherent X-ray radiation generated by a relativistic electron beam in a periodic layered medium in the Bragg scattering geometry

Blazhevich S.V., Noskov A.V.

Abstract

A dynamic theory is developed for coherent X-ray radiation generated when a diverging beam of relativistic electrons crosses a periodic layered target. Expressions describing the spectral–angular characteristics of coherent X-ray radiation are obtained and analyzed in the Bragg scattering geometry.

Journal of Experimental and Theoretical Physics. 2017;125(2):223-234
pages 223-234 views

Superposition of M5X5 superstructures and X-ray diffraction in TiO1.0 titanium monoxide

Kostenko M.G., Rempel A.A.

Abstract

The interpretation of diffraction spectra of ordered high-temperature phases of solid solutions and strongly nonstoichiometric compounds is discussed. It has been shown that variations of the intensities of superstructure reflections, which cannot be explained within simple ordering models, can be due to the superposition of superstructures with different symmetries in the matrix of the basis crystal structure. Using an example of atom–vacancy ordering in TiO1.0 titanium monoxide, a model of the order–order transition state formed by the superposition of low-temperature monoclinic (space group A2/m (C2/m)) and high-temperature cubic (space group Pmm) M5X5 superstructures has been proposed. It has been shown that the transition state is thermodynamically equilibrium and should be implemented instead of the M5X5 cubic superstructure. The transition state model can be considered as an M(5–i)X(5–i) superstructure (i = 1, 14/18, 11/18) with the monoclinic symmetry (space group P1m1).

Journal of Experimental and Theoretical Physics. 2017;125(2):235-245
pages 235-245 views

Ionic composition of a humid air plasma under ionizing radiation

Filippov A.V., Derbenev I.N., Dyatko N.A., Kurkin S.A., Lopantseva G.B., Pal’ A.F., Starostin A.N.

Abstract

A kinetic model is proposed for ion–molecular processes involving charged particles of a humid air plasma produced by a fast electron beam. The model includes more than 600 processes involving electrons and 41 positive and 14 negative ions, including hydrated ions H3O+ (H2O)n and O2(H2O)n with n = 1, 2, …, 12. The energy costs of production of electron–ion pairs and electronic and vibrational (for water molecules, also rotational) excitation of molecules are calculated in nitrogen, oxygen, water vapor, air, and humid air. A method is proposed for calculating the energy costs in mixtures by the calculation data in pure gases. The evolution of the plasma composition is studied by the numerical solution of a system of 56 time-dependent balance equations for the number of charged particles of plasma by the fourth-order Runge–Kutta method. The steady-state composition of plasma is determined by solving nonlinear steady-state balance equations for the ionization rates of humid air from 10 to 1016 cm–3/s and the fraction of water molecules from 10–3% to 1.5%. It is established that, for water vapor content (the ratio of the number density of water molecules to the total number density of air molecules) of 0.015–1.5% in air at atmospheric pressure and room temperature, the main ion species are two types of positive ions H3O+ (H2O)n with the number of water molecules n = 5, 6 and three species of negative ions O2(H2O)n with n = 5, 8, 9.

Journal of Experimental and Theoretical Physics. 2017;125(2):246-267
pages 246-267 views

Nuclei, Particles, Fields, Gravitation, and Astrophysics

Relaxation of vacuum energy in q-theory

Klinkhamer F.R., Savelainen M., Volovik G.E.

Abstract

The q-theory formalism aims to describe the thermodynamics and dynamics of the deep quantum vacuum. The thermodynamics leads to an exact cancellation of the quantum-field zero-point-energies in equilibrium, which partly solves the main cosmological constant problem. But, with reversible dynamics, the spatially flat Friedmann–Robertson–Walker universe asymptotically approaches the Minkowski vacuum only if the Big Bang already started out in an initial equilibrium state. Here, we extend q-theory by introducing dissipation from irreversible processes. Neglecting the possible instability of a de-Sitter vacuum, we obtain different scenarios with either a de-Sitter asymptote or collapse to a final singularity. The Minkowski asymptote still requires fine-tuning of the initial conditions. This suggests that, within the q-theory approach, the decay of the de-Sitter vacuum is a necessary condition for the dynamical solution of the cosmological constant problem.

Journal of Experimental and Theoretical Physics. 2017;125(2):268-277
pages 268-277 views

Solids and Liquids

Submonolayer adsorption of Na onto the Cu(110) surface: Structure and vibrational properties

Rusina G.G., Borisova S.D., Chulkov E.V.

Abstract

The submonolayer adsorption of Na onto the Cu(110) surface is studied. At small Na coverages (Θ = 0.16–0.25 ML), the substrate surface subjected to missing-row reconstruction (1 × 2) is shown to be most stable dynamically. When the coverage increases to Θ = 0.5 ML, the unreconstructed substrate surface with a c(2 × 2) sodium adlayer becomes dynamically stable. For an analysis, we used data on the equilibrium atomic configuration, the adsorption energy, the phonon spectra, the local density of phonon states, and the polarization of localized vibrational modes. All calculations were performed using the interatomic potentials obtained in terms of the embedded-atom method. The calculated frequencies of localized vibrational modes agree well with the existing experimental data.

Journal of Experimental and Theoretical Physics. 2017;125(2):278-289
pages 278-289 views

Order, Disorder, and Phase Transition in Condensed System

Magnetic phase transformations and magnetotransport phenomena in La0.7Sr0.3Mn1 – xCoxO3 perovskite compounds

Troyanchuk I.O., Bushinsky M.V., Karpinsky D.V., Sikolenko V.V., Chobot A.N., Tereshko N.V., Mantytskaya O.S., Schorr S.

Abstract

The compositions La0.7Sr0.3Mn1 – xCoxO3 (0.13 ≤ x ≤ 1) are studied by neutron diffraction, magnetometry, and measuring the magnetotransport properties. The substitution of cobalt ions for manganese ions is shown to decrease the magnetization and the Curie temperature from 270 K (x = 0.13) to 140 K (x = 0.33). As the cobalt ion content increases to x = 0.5, the Curie temperature increases to 190 K, the magnetization decreases, and the electrical resistivity increases. At x > 0.5, the temperature of transition into a paramagnetic state decreases to 68 K (x = 0.8) and then again increases to 225 K for the La0.7Sr0.3CoO3 composition. The magnetoresistive effect in the range 0.3 ≤ x ≤ 0.4 reaches 97% and decreases gradually with increasing temperature without anomalies near the Curie point. At x ≤ 0.2, the magnetoresistive effect increases near the Curie temperature. The composition at x = 0.6 is stoichiometric, and no coherent magnetic contribution to neutron scattering is detected. The magnetic properties near x ∼ 0.5 are assumed to be caused by partial ordering of Co3+ and Mn4+ ions, and the Co3+ ions can be in both low- and high-spin states. The magnetic interaction between Co3+ ions in a high-spin state and Mn4+ is predominantly ferromagnetic, and the ferromagnetic part of the exchange interactions is close to the ferromagnetic part. These data are used to plot a magnetic La0.7Sr0.3Mn1 – xCoxO3 phase diagram.

Journal of Experimental and Theoretical Physics. 2017;125(2):290-297
pages 290-297 views

Screening properties of multiply connected ferromagnet–superconductor hybrid structures

Samokhvalov A.V.

Abstract

Superconducting phase transition temperature Tc of a ferromagnet/superconductor (SF) hybrid structure consisting of a hollow superconducting (S) cylinder (shell) with the central part (core) filled with a ferromagnetic (F) metal has been analyzed on the basis of linearized Usadel equations. It has been shown that the proximity effect between the S and F metals, as well as the exchange interaction, may induce an inhomogeneous superconducting state with Δ ~ exp(iLθ + ipz), which is characterized by nonzero circulation of phase L and wavenumber p describing the Larkin–Ovchinnikov–Fulde–Ferrell (LOFF) instability along the cylinder axis. The transitions between the states with different values of L and p, which are accompanied by a nonmonotonic dependence of superconducting transition temperature Tc and effective magnetic field penetration depth Λ into the SF structure on the characteristic size of the ferromagnetic region, have been investigated.

Journal of Experimental and Theoretical Physics. 2017;125(2):298-309
pages 298-309 views

Dynamic magnetic permeability of the heterogeneous nanosystems based on (Co41Fe39B20)x(SiO2)100 – x composites

Granovskii A.B., Kalinin Y.E., Kashirin M.A., Kolmakov D.V., Ryl’kov V.V., Sitnikov A.V., Vyzulin S.A., Gan’shina E.A., Taldenkov A.N.

Abstract

Thin films of (Co41Fe39B20)x(SiO2)100 – x nanocomposites and hybrid nanocomposite–semiconductor [(Co41Fe39B20)x(SiO2)100 – x/C]50 multilayers are synthesized by ion-beam deposition at various contents x of ferromagnetic metallic Co41Fe39B2O nanogranules in an SiO2 matrix and at various carbon layer thicknesses h < 2 nm. Their magnetic and electrical properties, high-frequency magnetic permeability, magnetooptical spectra, and FMR spectra are studied. It is found that both the single-layer nanocomposites and the multilayers with carbon interlayers are superparamagnetic at x < xper, where xper is the electric conduction percolation threshold: a hysteresis at room temperature is absent, and the blocking temperature determined in quasi-static measurements does not exceed 20–30 K and weakly depends on the carbon layer thickness. At a carbon layer thickness h = 1.2–1.8 nm, the real and imaginary parts of complex magnetic permeability at 50 MHz and room temperature are substantially higher than those of the nanocomposites without carbon layers: their values are typical of ferromagnets. This dependence points to an exchange interaction between nanogranules in layers through a carbon interlayer. The influence of a conducting layer on the static and dynamic magnetic properties of a system of interacting superparamagnetic particles is discussed.

Journal of Experimental and Theoretical Physics. 2017;125(2):310-316
pages 310-316 views

Magnetic order in the structurally disordered helicoidal magnet Cr1/3NbS2: NMR at 53Cr nuclei

Ogloblichev V.V., Piskunov Y.V., Mushenok F.B.

Abstract

The Cr1/3NbS2 magnet is studied by nuclear magnetic resonance (NMR) at 53Cr nuclei in a zero applied magnetic field. The following two frequency ranges are distinguished in the 53Cr NMR spectrum at T = 4.2 K: ν1 = 64–68 MHz and ν2 = 49–51 MHz. They can be related to two valence states of chromium ions, namely, Cr4+ and Cr3+. The components of the electric field gradient, the hyperfine fields, and the magnetic moment at chromium atoms are determined. The NMR data demonstrate that the magnetic moments of chromium lie in plane ab and form a magnetic structure consisting of regions with a helicoidal magnetic order and regions where this order is broken.

Journal of Experimental and Theoretical Physics. 2017;125(2):317-322
pages 317-322 views

Micromagnetism in a planar system with a random magnetic anisotropy and two-dimensional magnetic correlations

Komogortsev S.V., Fel’k V.A., Iskhakov R.S., Shadrina G.V.

Abstract

The hysteresis loops and the micromagnetic structure of a ferromagnetic nanolayer with a randomly oriented local easy magnetization axis and two-dimensional magnetization correlations are studied using a micromagnetic simulation. The properties and the micromagnetic structure of the nanolayer are determined by the competition between the anisotropy and exchange energies and by the dipole–dipole interaction energy. The magnetic microstructure can be described as an ensemble of stochastic magnetic domains and topological magnetization defects. Dipole–dipole interaction suppresses the formation of topological magnetization defects. The topological defects in the magnetic microstructure can cause a sharper change in the coercive force with the crystallite size than that predicted by the random magnetic anisotropy model.

Journal of Experimental and Theoretical Physics. 2017;125(2):323-332
pages 323-332 views

Josephson junction with two superconducting current components

Kulikov K.V., Davud R., Nakhmedov E.P., Shukrinov Y.M.

Abstract

The properties of a Josephson junction with the 2π- and 4π-periodic superconducting current component have been analyzed. In the range of low voltages, such a junction exhibits the 4π periodicity of the phase difference for the Majorana current amplitude much smaller than the Josephson current, which makes it possible to observe Josephson current oscillations with a fractional period for small dissipation β < 1 in the hysteresis region. The effect the 4π-periodic Majorana current component is also manifested in a change in the sequence of steps in the ladder structure emerging on the current–voltage (I–V) characteristic of the junction. We have determined the interval of external electromagnetic radiation amplitudes, in which the manifestation of the fractional Josephson effect on the I–V characteristic is most significant.

Journal of Experimental and Theoretical Physics. 2017;125(2):333-339
pages 333-339 views

Statistical, Nonlinear, and Soft Matter Physics

Impurity transport in fractal media in the presence of a degrading diffusion barrier

Kondratenko P.S., Leonov K.V.

Abstract

We have analyzed the transport regimes and the asymptotic forms of the impurity concentration in a randomly inhomogeneous fractal medium in the case when an impurity source is surrounded by a weakly permeable degrading barrier. The systematization of transport regimes depends on the relation between the time t0 of emergence of impurity from the barrier and time t* corresponding to the beginning of degradation. For t0 < t*, degradation processes are immaterial. In the opposite situation, when t0 > t*, the results on time intervals t < t* can be formally reduced to the problem with a stationary barrier. The characteristics of regimes with t* < t < t0 depend on the scenario of barrier degradation. For an exponentially fast scenario, the interval t* < t < t0 is very narrow, and the transport regime occurring over time intervals t < t* passes almost jumpwise to the regime of the problem without a barrier. In the slow power-law scenario, the transport over long time interval t* < t < t0 occurs in a new regime, which is faster as compared to the problem with a stationary barrier, but slower than in the problem without a barrier. The asymptotic form of the concentration at large distances from the source over time intervals t < t0 has two steps, while for t > t0, it has only one step. The more remote step for t < t0 and the single step for t > t0 coincide with the asymptotic form in the problem without a barrier.

Journal of Experimental and Theoretical Physics. 2017;125(2):340-346
pages 340-346 views

Thermal instability of a reconnecting current layer as a trigger for solar flares

Ledentsov L.S., Somov B.V.

Abstract

The stability of small perturbations of a reconnecting current layer (CL) in a plasma with a strong magnetic field has been investigated in the approximation of dissipative magnetohydrodynamics. The case where the wavevector of the perturbations is parallel to the electric current in the CL has been considered. The suppression of plasma heat conduction by a magnetic field perturbation inside the CL is shown to be responsible for the instability. At the linear stage of instability development, the perturbations grow with the characteristic radiative plasma cooling time calculated in the approximation of an optically thin plasma with cosmic abundances of elements. The formation of a periodic structure of cold and hot magnetic flux tubes, viz., filaments, located across the direction of the electric current, should be expected at the nonlinear stage of the instability in the CL. The proposed mechanism of the thermal CL instability can explain the sequential brightening (ignition) in the arcades of magnetic loops in solar flares.

Journal of Experimental and Theoretical Physics. 2017;125(2):347-356
pages 347-356 views

Lateral pressure profile in lipid membranes with curvature: Analytical calculation

Drozdova A.A., Mukhin S.I.

Abstract

An analytical expression is obtained for the lateral pressure profile in the hydrophobic part of a lipid bilayer of finite curvature. Calculations are carried out within a microscopic model of a lipid bilayer, according to which the energy of a lipid chain represents the energy of a flexible string of finite thickness and the interaction between lipid chains is considered as a steric (entropic) repulsion. This microscopic model allows one to obtain an expression for the distribution of lateral pressure in membranes with given curvature if one considers the bending of a membrane as a small deviation from a flat conformation and applies perturbation theory in the small parameter L0J, where L0 is the hydrophobic thickness of a monolayer and J is the mean curvature of the lipid bilayer. The resulting pressure profile depends on the microscopic parameters of the lipid chain: the bending modulus of the lipid chain, incompressible area per lipid chain, and the thickness of a flat monolayer. The coefficient of entropic repulsion between lipids is calculated self-consistently. The analytical results obtained for the lateral pressure distribution are in qualitative agreement with molecular dynamic simulations.

Journal of Experimental and Theoretical Physics. 2017;125(2):357-363
pages 357-363 views

Formation dynamics of jumps in systems of charged particles

Lisina I.I., Vaulina O.S.

Abstract

The results of numerical studies of the dynamics of two similarly charged particles in an external electric field are presented. The formation of “jumps” (i.e., spontaneous changes in the positions) of the particles in a stable quasi-equilibrium state of the system has been analyzed in detail. Both dynamical and structural properties of the systems being modeled have been found to change significantly with rising particle temperature near some critical coupling parameter.

Journal of Experimental and Theoretical Physics. 2017;125(2):364-368
pages 364-368 views