Hamiltonian structures of nonlinear evolution equations connected with a polynomial pencil

For a generalized Zakharov-Shabat system in which the matrix potential is a polynomial in the spectral parameter a generating operator is constructed which makes it possible to compactly write out the nonlinear evolution equations (NEE) connected with the system. The eigenfunctions of the generating operator — the squares of solutions of the original system — are found. The Hamiltonian property of the NEE and the existence of a hierarchy of Hamiltonian structures are established.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 120, pp. 55–68, 1982.     

Effect of high-voltage pulses on electrochemical properties of a molten magnesium electrolyte

Effects of high-voltage pulses on electrochemical properties of a molten magnesium electrolyte is studied experimentally. It is established that the electroconductivity of the melt subjected to the pulses and the electrolysis current at a constant voltage increase by up to 25%. The relaxation time of nonequilibrium melt reaches a few tens of minutes and under certain conditions its dynamics is oscillatory.     

Influence of solitary gas bubbles on the electrical breakdown of transformer oil

The influence of solitary gas bubbles on the breakdown voltage of transformer oil is studied experimentally. It is shown that discharges periodically arise in bubbles at fields lower than the oil breakdown field.

     

Thermal and electrical conductivity of CdSnAs<Subscript>2</Subscript> in solid and liquid states

The mechanisms of CdSnAs₂ heat and charge transfer in solid and liquid states were investigated. It was demonstrated that heat transfer in solid state is accomplished by phonons, electrons, diffusion, and the recombination of electron-hole pairs. A sharp increase in thermal and electrical conductivity up to the values characteristic of metals is observed upon melting. In contrast to metals, the electrical conductivity of CdSnAs₂ melt increases with temperature.     

The effect of strong electrical field on the conductivity of proton solid electrolytes NaHSO4 and KHSO4

The influence of passing of high voltage pulse discharges through proton solid electrolytes NaHSO₄ and KHSO₄ and corresponding melts on their conductivities has been investigated. We have discovered the phenomenon of high voltage activation of the investigated electrolytes which is seen by a relative increase of the conductivity. This relative conductivity increase Δσ_rel reaches 754 % (at U=2.8 kV and 181°C) and 218 % (at U=2.0 kV and 200°C) for the solid NaHSO₄ and KHSO₄, respectively. For molten NaHSO₄ and KHSO₄ Δσ_rel is considerably higher and reaches 613% (at U=1.4 kV and 207°C) and 572 % (at U=2.2 kV and 232°C), respectively. We established the “memory” effect which was seen in maintaining of the excess conductivity for a long period of time. The process of relaxation of the excess conductivity of these electrolytes has been studied. The relaxation times of the non-equilibrium charge carriers in these electrolytes varies within the range of (1.9–7.8).10⁴s.     

Investigations into the Molecular Relaxation Processes in Lithium and Sodium Perchlorates by the Raman Scattering Method

The molecular relaxation processes in crystalline lithium and sodium perchlorates are investigated in the region of totally symmetric ₁(A) ClO₄ ^–-anion oscillations by Raman light scattering spectroscopy. It is demonstrated that the reorientation in LiClO₄ and NaClO₄ represents an activation process. A premelting phase is detected for sodium perchlorate.     

Errata

Theoretical and Experimental Chemistry -     

Interaction in scalar field theory with a fundamental length

A certain generalization is considered of the apparatus of quantum field theory in a momentum space of constant curvature. The passage to a configuration representation is accomplished by using a Fourier transformation in terms of plane waves of pseudo-Euclidean five-space. In momentum space de Sitter constructed a model of the interaction between complex and real scalar fields and the corresponding graphical technique.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 58–63, April, 1984.