# Issue 5, 2010

## Interpretation of experimental data based on the piecewise linear approximation measurement model

## Interpretation of experimental data based on the piecewise linear approximation measurement model

### T.A. Kopit$^1$, A.I. Chulichkov$^1$, D.M. Ustinin$^2$

**65**. N 5. P. 333

Methods for estimating the input signal of a measuring device are considered. Information about the device is contained in the measurement results of a set of known test signals and the measurements were obtained in natural or in computational experiments. A method is proposed for the approximation of the measurement model by means of a piecewise linear model that is consistent with the results of measurements and the method of evaluation of the input signal and its accuracy. An example is given of the solution of a problem of the interpretation of measurements based on the approximation of a model of the photosynthetic system, in which the measured parameters are the values of saturation $\Delta$pH and the rate of ATP synthesis and the estimated parameters are the concentration of photosystem-2 and light intensity.

Show Abstract## Classification of signals by form, whose model is determined empirically

## Classification of signals by form, whose model is determined empirically

### A.I. Chulichkov$^1$, N.D. Tsybulskaya$^1$, S.Yu. Shahbazov$^2$

**65**. N 5. P. 340

The signals of a given form are considered as elements of the linear subspace of Euclidean space of all signals. Linear subspaces (referred to as waveforms) are built on the basis of measurements of series of test signals of the same form, accompanied by a non-zero measurement error. Completed forms are used for the classification of signals of unknown form.

Show Abstract## Scattering problem in a quantum waveguide in a tight-binding model

## Scattering problem in a quantum waveguide in a tight-binding model

### I.A. Ado

**65**. N 5. P. 345

The scattering problem in a quantum waveguide is considered within a light-binding approach. The relationship between the stationary and time-dependent definition of an S-matrix is established.

Show Abstract## Casimir pressure renormalization by the method of efficient surface charges

## Casimir pressure renormalization by the method of efficient surface charges

### Yu.S. Voronina, P.K. Silaev

**65**. N 5. P. 351

The problem of regularization and renormalization of the Casimir pressure in a finite area with a smooth boundary is considered using the example of a real scalar field in the two-dimensional case. A procedure for the renormalization of boundary pressure using a certain modified area and a method for approximate calculation of the Green’s function and its derivatives with the use of efficient surface charges are proposed. For problems that allow an exact solution, it is shown that the method has high accuracy and computational efficiency.

Show Abstract## Tomographic representation of kinetic equations in classical statistical mechanics

## Tomographic representation of kinetic equations in classical statistical mechanics

### V.I. Man’ko$^1$, B.I. Sadovnikov$^2$, V.N. Chernega$^2$

**65**. N 5. P. 359

A tomographic representation of kinetic equations is constructed using the Radon transform. Liouville’s equation is considered for one and many particles. The reduced Liouville’s equation is obtained in the tomographic representation and the Bogolyubov chain is investigated in this representation. An example of the relativistic kinetic equation in the tomographic representation is considered.

Show Abstract## The electromagnetic initial boundary value problem in a domain with a chiral filling

## The electromagnetic initial boundary value problem in a domain with a chiral filling

### A.N. Bogolyubov, Yu.V. Mukhartova, Gao Dzesin

**65**. N 5. P. 366

The problem of the excitation of electromagnetic oscillations by given charge and current distributions in a domain with a nonhomogeneous chiral filling is investigated. The domain where the problem is considered may be both a finite one bounded by an ideally conducting surface and an infinite supplement to an ideally conducting bounded object. The initial boundary value problem is shown to arise, for which the generalized formulation in a special functional space is given. The existence of a unique weak solution to the problem is proven using the Galerkin method.

Show Abstract## The power spectral density of the conditional markov pulse process

## The power spectral density of the conditional markov pulse process

### Yu.V. Ushakov, A.A. Dubkov

**65**. N 5. P. 372

Using the example of a neural system that generates a conditional Markov sequence of delta pulses, the procedure for the derivation of the expression for the spectral power density of such a signal is shown.

Show Abstract## The radio-transmitting properties of a carbon nanotube vibrator located on the boundary of a dielectric

## The radio-transmitting properties of a carbon nanotube vibrator located on the boundary of a dielectric

### A.M. Lerer

**65**. N 5. P. 378

The quantum and mechanical properties of a carbon nanotube are described in a model with the use of a macroscopic parameter, viz., surface impedance. Solving the boundary problem for the impedance vibrator is reduced to solving paired integral equations for the vibrator current. The paired integral equations are solved by the Galerkin method with Chebyshev’s basis. The influence of the substrate on the amplitude and frequency characteristics of the antenna, a carbon nanotube, is investigated.

Show Abstract## Determination of dunham coefficients and calculation of the energies of highly excited vibrational-rotational levels of the carbon monoxide molecule in the electronic ground state

## Determination of dunham coefficients and calculation of the energies of highly excited vibrational-rotational levels of the carbon monoxide molecule in the electronic ground state

### O.K. Voitsekhovskaya, D.E. Kashirskii, V.S. Korchikov

**65**. N 5. P. 386

The values of Dunham constants are calculated for the electronic ground state of the carbon monoxide molecule on the basis of new values of the effective rotational and centrifugal constants and the energies of the high vibrational-rotational states are predicted. The peculiarity of the approach consists in the use of vibrational-rotational levels computed according to the traditional polynomial equation of energy values as the initial data for the procedure of Dunham coefficients determination. The role of the maximum degree of the Dunham polynom in determining its coefficients is analyzed, and the energy levels up to ${v=40}$ and ${J=60}$ calculated. A comparison with the literature data is made.

Show Abstract## Spectral-luminescent properties of LiRbLa$_{2-x}$Eu$_x$(MoO$_4$)$_4$ solid solutions

## Spectral-luminescent properties of LiRbLa$_{2-x}$Eu$_x$(MoO$_4$)$_4$ solid solutions

### V.G. Yakovlev$^1$, V.V. Mikhailin$^1$, A.Yu. Romanenko$^1$, O.M. Basovich$^2$, E.G. Khaikina$^2$

**65**. N 5. P. 392

The luminescent properties of LiRbLa$_{2-x}$Eu$_x$(MoO$_4$)$_4$ (${x=0.002}$, 0.02, 0.1, 0.2, 0.5, 1.0, 1.5, 2.0) solid solutions are investigated under laser excitation ($\lambda_{\bf ex}=337.1$ nm). It is established that the composition containing 50 at % Eu$^{3+}$ is the brightest of the considered set of phosphors and has the highest quantum yield.

Show Abstract## Phonon spectrum and UO$_2$ Debye-Waller factors in a sublattice model

## Phonon spectrum and UO$_2$ Debye-Waller factors in a sublattice model

### A.S. Poplavnoi, T.P. Fedorova

**65**. N 5. P. 397

The Debye-Waller factors of UO$_2$ dependence on the temperature are calculated for the Born-Mayer model in the approximation of “frozen” sublattices. It is shown that the calculation results are in good agreement with the experimental data in the temperature range from 0 to 1500 K, i.e., up to the superionic transition.

Show Abstract## The emission spectrum of $p$-AlGaAs/GaAsP/$n$-AlGaAs diodes under uniaxial compression

## The emission spectrum of $p$-AlGaAs/GaAsP/$n$-AlGaAs diodes under uniaxial compression

### E.V. Bogdanov$^1$, N.B. Brandt$^1$, N.Ya. Minina$^1$, S.S. Shirokov$^2$, A.E. Yunovich$^2$

**65**. N 5. P. 402

New experimental data are presented on the effects of uniaxial compression of up to 4 kbar along the $[110]$ and $[1\bar10]$ crystallographic directions on the spectra of electroluminescence and the current-voltage characteristics of diodes based on $n$-Al$_x$Ga$_{1-x}$As/GaAs$_y$P$_{1-y}$/$p$-Al$_x$Ga$_{1-x}$As (${y=0.84}$) heterostructures that were designed for injection lasers. With increasing pressure, the spectra show a shift to shorter wavelengths, reaching 25 meV at 3 kbar; the intensity increases 2–3 times as well. Numerical calculations were carried out on the band structure of the investigated heterostructures under compression along the $[110]$ axis, which indicate the increase in the effective band gap in the quantum well (QW) GaAs$_y$P$_{1-y}$ , with a pressure coefficient of about 8.5 meV/kbar and reduction of the barrier height at the boundaries of the QW. The calculations predict the possibility that light and heavy holes crossover at pressures above 4.5–5 kbar. The increase in the effective band gap completely describes the experimental data on the shift of the electroluminescence spectra. The mixing of light and heavy holes when approaching the band crosspoint is the probable cause of an increase in the intensity of radiation under uniaxial compression.

Show Abstract## Investigation of magnetic phase transitions in diluted ferrites: Nickel ferrite

## Investigation of magnetic phase transitions in diluted ferrites: Nickel ferrite

### A.A. Opalenko$^1$, A.I. Firov$^1$, A.B. Korshak$^2$, L.G. Antoshina$^2$

**65**. N 5. P. 417

The Mössbauer spectra of nickel ferrite NiGa$_x$Al$_x$Fe$_{2-2x}$O$_4$ were measured with significant dilution by nonmagnetic ions (with ${x=0.5}$, 0.7, and 0.8). In the temperature range of 90–295 K, the ratio of the near- and long-range forces was experimentally found and the Curie temperatures were determined.

Show Abstract## Innovative experimental methods open new properties of blood coagulation

## Innovative experimental methods open new properties of blood coagulation

### O.E. Avilov $^{1,2}$

**65**. N 5. P. 407

This article describes a novel experimental system for optical recording of the polymerization of blood coagulation proteins. It was shown that the experimental method has diagnostic abilities and defines some coagulation pathologies. Using this method, new properties of the coagulation system were discovered. The experimental system described is a prototype for a clinical diagnostic system.

Show Abstract## The soliton's theory of sqwall storms

## The soliton's theory of sqwall storms

### Arsenyev S.A.A., Shelkovnikov N.K.

**65**. N 5. P. 412

The theory of sqwall storms is created. Results of theoretical calculations is compared with observations.

Show Abstract## Growth of wave penetration under wind amplification

## Growth of wave penetration under wind amplification

### O.N. Mel’nikova, K.V. Pokazeev

**65**. N 5. P. 421

The penetration of nonlinear wind waves into the depth of a liquid is investigated in a laboratory channel. It is found that the amplitude of nonlinear waves on deep water depends only on the wave steepness normalized by the wave length. An expression is found that connects the growth of the wave mass with the wave steepness.

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