Physical properties of Ce3-xTe4 below room temperature

The physical properties of polycrystalline Ce3-xTe4 were investigated by measurements of the thermoelectric properties, Hall coefficient, heat capacity, and magnetization. The fully-filled, metallic x=0 compound displays a soft ferromagnetic transition near 4K, and analysis of the corresponding heat capacity anomaly suggests a doublet ground state for Ce^{3+}. The transition is suppressed to below 2K in the insulating x=0.33 composition, revealing that magnetic order in Ce3-xTe4 is driven by an RKKY-type interaction. The thermoelectric properties trend with composition as expected from simple electron counting, and the transport properties in Ce3Te4 are observed to be similar to those in La3Te4. Trends in the low temperature thermal conductivity data reveal that the phonons are efficiently scattered by electrons, while all compositions examined have a lattice thermal conductivity near 1.2W/m/K at 200K.Comment: Submitted to Phys. Rev.

Hydration of a B-DNA Fragment in the Method of Atom-atom Correlation Functions with the Reference Interaction Site Model Approximation

We propose an efficient numerical algorithm for solving integral equations of the theory of liquids in the Reference Interaction Site Model (RISM) approximation for infinitely dilute solution of macromolecules with a large number of atoms. The algorithm is based on applying the nonstationary iterative methods for solving systems of linear algebraic equations. We calculate the solvent-solute atom-atom correlation functions for a fragment of the B-DNA duplex d(GGGGG).d(CCCCC) in infinitely dilute aqueous solution. The obtained results are compared with available experimental data and results from computer simulations.Comment: 9 pages, RevTeX, 9 pages of ps figures, accepted for publications in JC

The Identity of the Russian Federation in the Framework of the Presidential Addresses to the Federal Assembly

The article is based on content and discourse analysis of the addresses of the President of the Russian Federation to the Federal Assembly dated 12/01/2016, 03/01/2018, 02/20/2019, 01/15/2020. The aim of research is to analyze the concept of identity in the framework of Presidential Addresses and changes in the concepts of identity in dynamics. The general tendencies of considering the term “identity” in the framework of determining the identity of the Russian Federation are derived. The special relationship between the identity of the Russian Federation and the integration of the Russian Federation into integration spaces is considered. The Vladimir Putin’s statements regarding the integration of the Russian Federation into the Eurasian Economic Union are evaluated, since the Russian Federation identity, in the opinion of the President, is inextricably linked with the formation of the “Eurasian identity of the Russian Federation”, which in turn determines the direct relationship between the identity of the Russian Federation and the integration of the Russian Federation into the Eurasian Economic Union. The article defines the subjective factor of the Russian President, which reflects the personal nature of the President’s orders and proposals. The dynamics of changes in the formation of the Russian Federation identity is reflected according to the addresses of the President of the Russian Federation to the Federal Assembly, and also on the basis of the dynamics of changes in the identity of the Russian Federation, the general process orientation of developing the Russian Federation identity is reflected. The article characterizes the permanent nature of the formation of the identity of Russia. Now, the identity of Russia is perceived as a special construct that reflects the special position of the Russian Federation, both in historical development and in the international arena

Quasi-Optimal Filtering in Inverse Problems

A way of constructing a nonlinear filter close to the optimal Kolmogorov - Wiener filter is proposed within the framework of the statistical approach to inverse problems. Quasi-optimal filtering, which has no Bayesian assumptions, produces stable and efficient solutions by relying solely on the internal resources of the inverse theory. The exact representation is given of the Feasible Region for inverse solutions that follows from the statistical consideration.Comment: 9 pages, 240 K

Method to solve integral equations of the first kind with an approximate input

Techniques are proposed for solving integral equations of the first kind with an input known not precisely. The requirement that the solution sought for includes a given number of maxima and minima is imposed. It is shown that when the deviation of the approximate input from the true one is sufficiently small and some additional conditions are fulfilled the method leads to an approximate solution that is necessarily close to the true solution. No regularization is required in the present approach. Requirements on features of the solution at integration limits are also imposed. The problem is treated with the help of an ansatz proposed for the derivative of the solution. The ansatz is the most general one compatible with the above mentioned requirements. The techniques are tested with exactly solvable examples. Inversions of the Lorentz, Stieltjes and Laplace integral transforms are performed, and very satisfactory results are obtained. The method is useful, in particular, for the calculation of quantum-mechanical reaction amplitudes and inclusive spectra of perturbation-induced reactions in the framework of the integral transform approach.Comment: 28 pages, 1 figure; the presentation is somewhat improved; to be published in Phys. Rev.