Matrix and vector models in the strong coupling limit

In this paper we consider matrix and vector models in the large N limit ($N \times N$ matrices and vectors with N^{2} components). For the case of zero-dimensional model (D=0) it is proved that in the strong coupling limit $g \to \infty$ statistical sums of both models coincide up to a coefficient. This is also true for D=1.Comment: 8 page

Information-hardware support of systems of the automated electromagnetic monitoring of geodynamic objects

In article the structure of an informational-hardware support of the automated system of data processing at electromagnetic monitoring of geodynamic objects is considered. The structure of interrelations of the object-oriented and serving subsystems realizing methodological, program and technical and information support of processes of filing and data processing of geodynamic monitoring is define

Temperature Dependence of Magnetophonon Resistance Oscillations in GaAs/AlAs Heterostructures at High Filling Factors

The temperature dependence of phonon-induced resistance oscillations has been investigated in two-dimensional electron system with moderate mobility at large filling factors at temperature range T = 7.4 - 25.4 K. The amplitude of phonon-induced oscillations has been found to be governed by quantum relaxation time which is determined by electron-electron interaction effects. This is in agreement with results recently obtained in ultra-high mobility two-dimensional electron system with low electron density [A. T. Hatke et al., Phys. Rev. Lett. 102, 086808 (2009)]. The shift of the main maximum of the magnetophonon resistance oscillations to higher magnetic fields with increasing temperature is observed.Comment: 5 pages, 4 figure

Numerical study of flow srtucture (mixing process and rectivity) of diluted hydrogen non-premixed supersonic combustion system

Numerical simulation of supersonic combustion with transverse hydrogen injection is performed by solving the three-dimensional Favre-averaged Navier–Stokes equations coupled by the κ - ω turbulence model. These equations are solved using an algorithm that is based on the third-order essentially nonoscillatory scheme. Several cases of the jet compositions (pure hydrogen and hydrogen diluted by nitrogen in 50:50 mol%) are considered to study the influence of the composition onto the structure and reactivity of the supersonic combustion systems. Seven step skeletal Eklund model based on detailed Jachimowsky’s mechanism is implemented to model chemical reaction of hydrogen combustion, which performs quite well in the considered relatively high temperatures. The simulation revealed that the jet penetration heights are equal for both cases, and the hydrodynamic fields looked similar except for the temperatures of the zones located ahead and behind the jet injection. The chemical reaction zone, indicated by OH radicals, was more intense for the pure hydrogen case, occupying a narrow region along the oblique shock wave line. In contrast, the use of a hydrogen/nitrogen jet mixture resulted in a significantly wider flame front zone. This suggests that the presence of nitrogen in the mixture diluted the hydrogen concentration, leading to slower combustion. The study shows that the flow properties and reactivity of the mixture significantly changing with the dilutions of the fuel composition

Weibel-dominated quasi-perpendicular shock: hybrid simulations and in situ observations

We directly compare hybrid kinetic simulations and in situ observations of a high Mach number high-$\beta$ shock in the Solar wind. We launch virtual probes to demonstrate that the model quantitatively reproduces the observations. The observed wave properties are caused by the ion Weibel instability in the shock foot. Parameters of reflected ions in the shock foot are extracted from simulations, and their coordinate dependencies are linearly approximated. These approximations could be used in analytical models. Due to strong magnetic variations at ramp the reflected ions density can be locally very high (nearly that of the incoming flow), which makes favourable conditions for the instability.Comment: 11 pages, 10 figure

The monitoring of the irregular disturbances in the arctic on the basis of the processing data of the distributed network of the geophysical observatories

The article discusses a data processing method for geomagnetic field of the earth on a distributed network of geophysical observatories. The proposed method allows to detect and monitor irregular disturbances of the geomagnetic field, evaluate their options, determine the epicenter of the occurrence of disturbances and to estimate the parameters of the epicente

Determination of the preliminary phase of the facility destruction based on the resistance-acoustic method of control

The article substantiates the use of the resistance-acoustic method in problems of non-destructive testing of mechanical stresses or defects in structures of metals and alloys in natural and technical systems. The possibilities of the use of the proposed method for the potential monitored facilities were analyzed, to which the strict requirements for operational security are imposed (bearing reinforced concrete structures, bridges, radio and television towers, etc.

Diffusive Radiation in One-dimensional Langmuir Turbulence

We calculate spectra of radiation produced by a relativistic particle in the presence of one-dimensional Langmuir turbulence which might be generated by a streaming instability in the plasma, in particular, in the shock front or at the shock-shock interactions. The shape of the radiation spectra is shown to depend sensitively on the angle between the particle velocity and electric field direction. The radiation spectrum in the case of exactly transverse particle motion is degenerate and similar to that of spatially uniform Langmuir oscillations. In case of oblique propagation, the spectrum is more complex, it consists of a number of power-law regions and may contain a distinct high-frequency spectral peak. %at \omega=2\omega\pe \gamma^2. The emission process considered is relevant to various laboratory plasma settings and for astrophysical objects as gamma-ray bursts and collimated jets.Comment: 4 pages, 1 figure, accepted for Phys. Rev.