Crystal and molecular structure of potassium cyanurate,KC3H2N3O3·H2O

All-Union Research Institute for Chemical Reagents and High-Purity Chemicals. Translated from Zhurnal Strukturnoi Khimii, Vol. 31, No. 4, pp. 90–96, July–August, 1990.     

Higher-Dimensional Representations of the Reflection Equation Algebra

We consider a new method for constructing finite-dimensional irreducible representations of the reflection equation algebra. We construct a series of irreducible representations parameterized by Young diagrams. We calculate the spectra of central elements s _k=Tr_q L ^k of the reflection equation algebra on q-symmetric and q-antisymmetric representations. We propose a rule for decomposing the tensor product of representations into irreducible representations.     

Markov approximation of homogeneous lattice random fields

We refine some well-known approximation theorems in the theory of homogeneous lattice random fields. In particular, we prove that every translation invariant Borel probability measure on the space X of finite-alphabet configurations on ^d, d1, can be weakly approximated by Markov measures _n with supp(_n)=X and with the entropies h(_n)h(). The proof is based on some facts of Thermodynamic Formalism; we also present an elementary constructive proof of a weaker version of this theorem.Mathematics Subject Classifications (2000): Primary 28D20, 37C85, 60G60; secondary 82B20Dedicated to Professor A. I. Vorobyov, member of the Russian Academy of Sciences and Director of the Hematology Research Center of the Russian Academy of Medical Sciences, on the occasion of his 75th birthday     

Electron and phonon temperature fields in bounded semiconductors in a magnetic field

The electron and phonon temperature distributions in a semiconductor sample with finite dimensions, placed in a thermostat with an arbitrary, fixed temperature profile, were studied. Heat transfer between the thermostat and the electrons and phonons through the wall is assumed to be arbitrary, while the magnetic field is assumed to be weak.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 73–78, August, 1987.     

Moving perturbations of the ionization in a field of strong electromagnetic waves

The perturbation of the ionization and of the electron temperature is considered in a plasma in a field of strong electromagnetic waves. It is shown that the intensified absorption of the waves in the region of their reflection leads to the appearance of the moving perturbations of the plasma ionization. The conditions governing the development of moving perturbations are determined along with their velocity and spatial structure. It is demonstrated that in a weakly inhomogeneous plasma such perturbations appear in the neighborhood of the reflection point of the waves and move toward the wave so as to cause perturbation. This leads to the generation of nondecaying nonlinear oscillations in the plasma. The frequency of the oscillations is determined, and it decreases with increasing absorbed power of the waves.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 15, No. 1, pp. 11–18, January, 1972.The author is indebted to V. L. Ginzburg for his useful discussions.     

The μSR investigations on the phasotron at Dubna: The present and the future

After conversion of the LNP JINR phasotron new opportunities have been opened for μSR-research. A new round of investigations has begun since 1987. In this paper we present the summary of the results achieved and give some prospects for future investigations.