Application of quasi-steady-state plasma streams for simulation of ITER transient heat loads

The paper presents experimental investigation of energy characteristics of the plasma streams generated with quasi—steady—state plasma accelerator QSPA Kh-50 and adjustment of plasma paramenters from the point of view its applicability for simulation of transient plasma heat loads expected for ITER disruptions and type I ELMs. Possibility of generation of high-power magnetized plasma streams with ion impact energy up to 0.6 keV, pulse length 0.25 ms and heat loads varied in wide range from 0.5 to 30 MJ/m² has been demonstrated and some features of plasma interaction with tungsten targets in dependence on plasma heat loads are discussed.     

What Is a Quantum Stochastic Differential Equation from the Point of View of Functional Analysis?

We prove that a quantum stochastic differential equation is the interaction representation of the Cauchy problem for the Schrödinger equation with Hamiltonian given by a certain operator restricted by a boundary condition. If the deficiency index of the boundary-value problem is trivial, then the corresponding quantum stochastic differential equation has a unique unitary solution. Therefore, by the deficiency index of a quantum stochastic differential equation we mean the deficiency index of the related symmetric boundary-value problem.In this paper, conditions sufficient for the essential self-adjointness of the symmetric boundary-value problem are obtained. These conditions are closely related to nonexplosion conditions for the pair of master Markov equations that we canonically assign to the quantum stochastic differential equation.     

Logarithmic asymptotics of solutions of the large deviation problem for the boltzmann equation with small transfer of momentum

For the Boltzmann equation with small transfer of momentum, we derive a system of nonlinear integral-differential equations describing the logarithmic asymptotics of the solution to the Cauchy problem in the domain at the distanceO(1) from the support of the initial condition.Translated fromMatematicheskie Zametki, Vol. 64, No. 1, pp. 73–94, July, 1998.This research was partially supported by INTAS-RFBR under grant No. 95-91 in the case of the first author, and by INTAS under grant No. 96-0698 in the case of the second author.     

Symmetric form of the Hudson-Parthasarathy stochastic equation

We prove that the Hudson-Parthasarathy equation corresponds, up to unitary equivalence, to the strong resolvent limit of Schrödinger Hamiltonians in Fock space and that the symmetric form of this equation corresponds to the weak limit of the Schrödinger Hamiltonians.Translated fromMatematicheskie Zametki, Vol. 60, No. 5, pp. 726–750, November, 1996.     

Prognostication criterion of potential and practical use of analytical reagents in titrimetria of individual substances

Various possible criterion in titrimetric methods have been discussed in this paper and more informative, visual and universal criterion-the degree of proceeding of individual reaction at the equivalence point have been chosen. The equation for the degree of proceeding of individual analytical reaction suited for any chemical reactions under real conditions with an allowance made for both component and titrant concentration have been deduced. This criterion allows us to make a prognosis of any parametres of a titrimetric procedure of an individual substance determination and the procedure as a whole, not having carried out the experiment.     

Population-modulation study of the filling of mercury ion levels in a He-Hg discharge

The branching ratios for the lines at 615.0 nm and 794.5 nm and the ratios of the partial chargeexchange cross sections are determined through a comparison of the intensities of spectral lines of the mercury ion in a He-Hg discharge with and without emission at the 615.0-nm line (by the population-modulation method). Absolute values are found for the partial cross sections from the calculated contribution of the Hgll levels to the total charge-exchange cross sections. Observations of the shape of the spontaneous afterglow of the lines of the one-electron and Beitler spectra of Hg II and measurements of their intensities show that the charge-exchange cross section is distributed in proportions of approximately 37 between the levels of the one-electron and Beitler spectra of Hg II.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 90–97, May, 1984.     

Second term of the logarithmic asymptotics of path integrals

In the survey results are presented related to the construction of asymptotic expansions of Green's function of the Cauchy problem for the heat equation. The basic attention is devoted to the first two terms of the logarithmic asymptotics which are obtained locally by probabilistic methods and globally by the method of convolution of the sequence of asymptotic solutions over small time.Translated from Itogi Nauki i Tekhniki, Seriya Teoriya Veroyatnostei, Matematicheskaya Statistika, Teoreticheskaya Kibernetika, Vol. 19, pp. 127–154, 1982.     

Necessary and sufficient conditions for conservativeness of dynamical semigroups

Dynamical semigroups constitute a quantum-mechanical generalization of Markov semigroups, a concept familiar from the theory of stochastic processes. Let be a Hilbert space andA a von Neumann algebra. A dynamical semigroup P_t is a -weakly continuous one-parameter semigroup of completely positive maps ofA into itself. A semigroup P_t possessing the property of preserving the identityIA is said to be conservative and its infinitesimal operator L[·] is said to be regular. The present paper studies necessary and sufficient conditions for strongly continuous dynamical semigroups to be conservative. It is shown that under certain additional assumptions one can formulate necessary and sufficient conditions which are analogous to Feller's condition for regularity of a diffusion process: the equation P=L[P] has no solutions inA ₊. Using a Jensen-type inequality for completely positive maps, constructive sufficient conditions are obtained for conservativeness, in the form of inequalities for commutators. The restriction of a dynamical subgroup to an Abelian subalgebra of (R ⁿ ) yields a series of new regularity conditions for both diffusion and jump processes.Translated from Itogi Nauki i Tekhniki, Seriya Sovremennye Problemy Matematiki, Noveishie Dostizheniya, Vol. 36, pp. 149–184, 1990.     

Voltammetric Determination of Allura Red AC onto Carbone-paste Electrode Modified by Silica with Embedded Cetylpyridinium Chloride

In current study the carbon-paste electrode modified by silica with embedded cetylpyridinium chloride for determination of Allura Red AC have been developed. The optimal conditions were determined to be for the square-wave voltammetric quantification: pH=2, E_ads=300 mV, t_ads=300 s, amplitude – 40 mV, frequency – 25 Hz and potential scan rate is 250 mV sec⁻¹. The calibration plot has linearity in the concentration ranges 0.04–0.2 μM and 0.2–1.00 μM. The LOD and LOQ are equal to 0.005 μM and 0.015 μM respectively. The crafted sensor has been applied successfully to model solutions and in jelly candies analysis with RSD no more than 10 %.     

Boundary scalar controllability in projections for the Navier-Stokes system

We consider the following controllability problem for the Navier-Stokes equations: ensure, by dynamically varying the boundary values of the total fluid head, that the solution at a given time has a given projection onto some finite-dimensional subspace. We suggest a feedback control construction and obtain a priori estimates for the solution of the closed-loop system, which are then used to prove the boundary scalar controllability.