Equations of mean-field electrodynarnics and functional integrals
Equations of mean-field electrodynarnics and functional integrals
D.D. Sokolov
An explicit solution of the Cauchy problem for the dynamo equation of mean fields has been constructed in the form of а Wiener integral over random paths. The solution obtained proves to bе much more complicated than the corresponding one for the induction equation. This solution is used to study the proem of constructing an effective upper estimate for the rate of growth of а mean magnetic field and the problem of the magnetic field evolution in the medium with fluctuating helicity.
Show AbstractEquation of state for argon at high densities and temperatures
Equation of state for argon at high densities and temperatures
Р.N. Nikolaev, Е.V. Shchurova, and G.V. Moiseeva
Analytical expression for the equation of state for the argon continuous phase at high densities and temperatures has been obtained using the asymptotic expansion method as the base. The expression is in satisfactory agreement with experimental data, as well as with calculations made bу means of the Monte Carlo method within their limits of accuracy.
Show AbstractThe 1-curve method always introduces а nonremovaЫe systematic error
The 1-curve method always introduces а nonremovaЫe systematic error
А.S. Leonov and А.G. Yagola
It has been demonstrated that the selection of the regularization parameter in Tikhonov's method "bу the L-curve techniques" introduces а nonremovable systematic error when solving any system of linear algebraic equations.
Show AbstractAntisymmetric tensor field in space with torsion
Antisymmetric tensor field in space with torsion
А.Yu. Baurov and Р.I. Pronin
Gauge transformation of an antisymmetric tensor field of second rank for the case of а space with torsion bу analogy with transformation of an electromagnetic field has been performed. The calculations made on а computer have yielded the expression for the correction of order one for the effective action of the antisymmetric tensor field in this space.
Show AbstractА boundary value proЫem describing the Hall effect in а serniconductor with а periodic set of electrodes
А boundary value proЫem describing the Hall effect in а serniconductor with а periodic set of electrodes
Р.А. Кrutitskii and К.А. Logginova
An explicit solution has been set up for the boundary value problem of electric current running off from а periodic set of parallel electrodes soldered into а semiconductor film placed in а constant magnetic field. From the mathematical standpoint, а boundary value problem for harmonic functions with а skew derivative in the boundary condition has been studied. An explicit solution to this problem has been constructed bу reducing it to the Riemann-Hilbert problem for analytic functions followed bу the conformal mapping onto the canonical domain, in which the Riemann-Hilbert problem has а solution in the closed form.
Show AbstractElectroinduced decay of а proton inside а nucleus
Electroinduced decay of а proton inside а nucleus
В.S. lshkhanov, I.М. Кapitonov, and V.N. Rodionov
Estimates have been made of the effective cross section of the electroinduced decay of а proton. An experiment is proposed on their basis on the observation of the decay of а proton inside а nucleus initiated bу intense flows of electrons and gamma-quanta from present-day accelerators.
Show AbstractExperimental testing of adaptive pulse accumulation algorithrn in gravitational wave experiment
Experimental testing of adaptive pulse accumulation algorithrn in gravitational wave experiment
М.Р. Vinogradov, А.V. Gusev, and V.К. Milyukov
The preliminary results of testing an adaptive pulse accumulation algorithm in а gravitational wave experiment with the use of the experimental data of the Baksan long-baseline deformograph LD-1 have been presented as well as а catalog of gamma-events 3В BATSE. The detection characteristics were calculated using а family of Pearson curves.
Show AbstractThe surfatron physical model and spatial distribution of surface wave energy
The surfatron physical model and spatial distribution of surface wave energy
G.S. Solntsev, Р.S. Bulkin, М.V. Mokeev, and L.I. Tsvetkova
The physical model of а discharge in the surfatron may bе described as а plasma column along which а surface electromagnetic wave is propagating from the UHF generator. Part of the wave energy Wpl is consumed to contain the plasma with а high electron concentration and the remainder Wvac is emitted into the surrounding space. The relationship between Wpl and Wvac under various conditions is considered. The efficiency of the surfatron as а plasmatron and а plasma antenna is calculated.
Show AbstractDynamics of stochastization of amplitude and velocity of optical solitons bу the noise of spontaneous Raman scattering
Dynamics of stochastization of amplitude and velocity of optical solitons bу the noise of spontaneous Raman scattering
V.А. Aleshkevich, V.А. Vysloukh, and К.G. Skirtach
We present the results of а theoretical analysis of the influence of the noise of spontaneous Raman scattering on the parameters of optical solitons. On the basis of perturbation theory, integral representations have been received for the variance of the soliton amplitude and frequency fluctuations. Fluctuations growth with the distance has also been considered.
Show AbstractEffect of shock waves on flow density fluctuations
Effect of shock waves on flow density fluctuations
О.А. Azarova, Е.А. Bratinkova, L.S. Shtemenko, F.V. Shugaev, and В.Е. Yanitsky
Enhancement of density turbulent fluctuations following the passage of а shock wave, turbulence scale, and also the correlation and spectral functions of fluctuations in the wake and ahead ofthe wave has been studied theoretically and experimentally in this paper. The calculations are based on the Euler equations, and turbulence is modeled bу а packet of velocity pulses. Experiments were conducted in а single-diaphragm shock tube, and turbulence was produced bу means ofa wire mesh. Jhe Mach number values were taken in the range ofl.1-3 in the shock-wave calculations and 1.35-1.6 in the experiments. The theoretical data are in good agreement with experimental results.
Show Abstract