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Tyunina E.Yu.,Russian Academy of Sciences | Chekunova M.D.,Ivanovo State Power University
Journal of Molecular Liquids | Year: 2013

Electrical conductivities of LiAsF6 in methyl acetate were measured in concentration range of 0.4269-2.2672 mol·kg- 1 at 253.15, 263.15, 273.15, 283.15, 293.15, 303.15, 313.15, and 323.15 K. Data were treated by using the semi-empirical Casteel-Amis equation at high concentrations. The dependence of conductivities on the temperature was described by the Arrhenius relationship. It was shown that activation energies for conductivity linearly increased with the mole fraction of LiAsF6. The variation tendency of the energies of activation for the conductivities of LiAsF6 in the order of aprotic solvents (propylene carbonate, γ-butyrolactone, methyl acetate, tetrahydrofuran) has been discussed on the basis of the hypothesis that various conduction mechanisms occur at high concentration in the solvents of low permittivity. The anodic and cathodic stabilities of the LiAsF6 in methyl acetate were measured on a Pt electrode, a wide enough electrochemical stability window being observed. © 2013 Elsevier B.V. All rights reserved.

Aref'ev I.M.,Ivanovo State Power University | Lebedev A.V.,Russian Academy of Sciences
Colloid Journal | Year: 2016

Higher-order moments of particle size distribution functions are determined for magnetic fluids from analysis of initial segments of magnetization curves. It is shown that the higher-order moments calculated using approximation of real particle size distributions by the Γ distribution are strongly overestimated. Agreement between the measured and calculated moments can be radically improved by truncating maximum particle size Xmax. A relation between Xmax and the parameters of the Γ distribution is proposed taking into account the degree of polydispersity of a magnetic fluid. Namely, the ratio between the maximum and most probable particle diameters is equal to the ratio between the mean-square magnetic moment of a particle and its squared average magnetic moment. © 2016, Pleiades Publishing, Ltd.

Kiselev A.V.,University of Groningen | Krutov A.O.,Ivanovo State Power University
Journal of Physics: Conference Series | Year: 2014

We re-address the problem of construction of new infinite-dimensional completely integrable systems on the basis of known ones, and we reveal a working mechanism for such transitions. By splitting the problem's solution in two steps, we explain how the classical technique of Gardner's deformations facilitates-in a regular way-making the first, nontrivial move, in the course of which the drafts of new systems are created (often, of hydrodynamic type). The other step then amounts to higher differential order extensions of symbols in the intermediate hierarchies (e. g., by using the techniques of Dubrovin et al. [1, 2] and Ferapontov et al. [3, 4]).

Mizonov V.,Ivanovo State Power University | Yelin N.,Ivanovo State Polytechnic University
International Journal of Thermal Sciences | Year: 2015

Abstract The objective of the study is developing a simple yet informative mathematical model that describes the kinetics of melting a rod under the action of a localized periodically moving heat source. For this purpose, a cell model is used with the heat conduction matrix that takes into account different properties of liquid and solid phases of the rod material. Zones of the rod that are outside of the local heat source action have heat exchange with the outside environment. It is shown that the melting kinetics strongly depends on the program of heat source motion along the rod and on its residence time at each of its positions. The optimal program of heat source motion that allows melting the whole rod over the shortest possible period of time is found. © 2015 Elsevier Masson SAS.

Kiselev A.V.,University of Groningen | Krutov A.O.,Ivanovo State Power University
Journal of Nonlinear Mathematical Physics | Year: 2014

We associate Hamiltonian homological evolutionary vector fields - which are the non-Abelian variational Lie algebroids differentials - with Lie algebra-valued zero-curvature representations for partial differential equations. © 2014 Copyright: the authors.

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