Solving the difference initial-boundary value problems by the operator exponential method

We suggest a modification of the operator exponential method for the numerical solving the difference linear initial boundary value problems. The scheme is based on the representation of the difference operator for given boundary conditions as the perturbation of the same operator for periodic ones. We analyze the error, stability and efficiency of the scheme for a model example of the one-dimensional operator of second difference

Quantum Transparency of Barriers for Structure Particles

Penetration of two coupled particles through a repulsive barrier is considered. A simple mechanism of the appearance of barrier resonances is demonstrated that makes the barrier anomalously transparent as compared to the probability of penetration of structureless objects. It is indicated that the probabilities of tunnelling of two interacting particles from a false vacuum can be considerably larger than it was assumed earlier.Comment: Revtex, 4 pages, 4 figure

Model of stressed-strained State of Multilayer Masses with regard for Non-Ideal Contact of Layers

Thus, mathematical model stressed- strained of a condition of layered masses is constructed. The model has high accuracy. It allows to simulate slippery contact of layers without friction. Thus not the order of permitting system of the equations is increased, and at its realization the method of fenite elements does not increase quantity of required degrees freedom. The differential operators included in system the equations are similar known in the classical theory of shells. It facilitates construction of a finite element. Presence in system of the differential equations of derivative of external forces allows to use her for the decision of contact problems with a stain of contact commensurable with thickness of a masses

PolarDB – система создания специализированных NoSQL баз данных и СУБД

The report presents a new system focused on the creation of specialized databases and database management systems. Based on the analysis of various NoSQL solutions there have been formulated some principles of such a system. The main features of the approach are: a) the infrastructure provides a flexible system of type definitions which allow to create data structures based on different paradigms; b) different forms of structured data support and mapping to the file system are used in the infrastructure. Experiments were provided with the implementation of RDF graphs, relational tables, name tables, object-relational mappings. The approach allows to solve some problems of technologies creation for work with Big Data.Представлена новая система, ориентированная на создание специализированных баз данных и систем управления базами данными. На основе анализа ряда NoSQL решений были выработаны принципы создания такой системы. В статье излагаются основные особенности примененного подхода, которые заключаются в том, что: а) предоставляются гибкие средства типовых определений, позволяющие создавать схемы структуризации данных, соответствующие разным парадигмам; б) сформирована система различных форм поддержания структурных значений и их отображений в файловые представления. Были проведены эксперименты с реализацией графов RDF, связанных реляционных таблиц, таблиц имен, объектно-реляционных отображений. Подход позволяет решать некоторые задачи создания технологий работы с большими данными

Resonant enhanced diffusion in time dependent flow

Explicit examples of scalar enhanced diffusion due to resonances between different transport mechanisms are presented. Their signature is provided by the sharp and narrow peaks observed in the effective diffusivity coefficients and, in the absence of molecular diffusion, by anomalous transport. For the time-dependent flow considered here, resonances arise between their oscillations in time and either molecular diffusion or a mean flow. The effective diffusivities are calculated using multiscale techniques.Comment: 18 latex pages, 11 figure

Formation of zonal agro-eco clusters as a mechanism for the development of rural areas

Today, the degree of agricultural development, and, in the future, the level of national food security, the public health and the quality of life, are largely ensured by innovative developments in the field of alternative agriculture, the preservation of natural resources and, above all, the main production facility – land. At the same time, the unfilled market capacity of organic products and the significant land potential for the development of organic farming create all the necessary prerequisites for enhancing the competitiveness of Russian rural producers. The development of agricultural entrepreneurship towards the greening of land use, organic production and development of the domestic market for organic (ecological) products in the format of zonal agro-eco clusters is one of the strategic directions for implementing reforms in the agricultural sector. The paper presents the directions of the formation and development of zonal agro-eco clusters for the production, processing and sale of organic products in the agricultural regions of Russia.peer-reviewe

Examination of the astrophysical S-factors of the radiative proton capture on 2H, 6Li, 7Li, 12C and 13C

Astrophysical S-factors of radiative capture reactions on light nuclei have been calculated in a two-cluster potential model, taking into account the separation of orbital states by the use of Young schemes. The local two-body potentials describing the interaction of the clusters were determined by fitting scattering data and properties of bound states. The many-body character of the problem is approximatively accounted for by Pauli forbidden states. An important feature of the approach is the consideration of the dependence of the interaction potential between the clusters on the orbital Young schemes, which determine the permutation symmetry of the nucleon system. Proton capture on 2H, 6Li, 7Li, 12C, and 13C was analyzed in this approach. Experimental data at low energies were described reasonably well when the phase shifts for cluster-cluster scattering, extracted from precise data, were used. This shows that decreasing the experimental error on differential elastic scattering cross sections of light nuclei at astrophysical energies is very important also to allow a more accurate phase shift analysis. A future increase in precision will allow more definite conclusions regarding the reaction mechanisms and astrophysical conditions of thermonuclear reactions.Comment: 40p., 9 fig., 83 ref. arXiv admin note: substantial text overlap with arXiv:1005.1794, arXiv:1112.1760, arXiv:1005.198

Reaction-Diffusion Modelling of Interferon Distribution in Secondary Lymphoid Organs

This paper proposes a quantitative model of the reaction-diffusion type to examine the distribution of interferon-α (IFNα) in a lymph node (LN). The numerical treatment of the model is based on using an original unstructured mesh generation software Ani3D and nonlinear finite volume method for diffusion equations. The study results in suggestion that due to the variations in hydraulic conductivity of various zones of the secondary lymphoid organs the spatial stationary distribution of IFNα is essentially heterogeneous across the organs. Highly protected domains such as sinuses, conduits, co-exist with the regions in which where the stationary concentration of IFNα is lower by about 100-fold. This is the first study where the spatial distribution of soluble immune factors in secondary lymphoid organs is modelled for a realistic three-dimensional geometry