New concept of solar cycle

New data about solar g-modes and fast rotating core of the Sun (Fossat et al., 2017) allow us to assume that the generation of the solar magnetic field occurs not at the base of the convective zone, in tachocline, but much deeper — on the boundary of the solar core, with the period of revolution of 7 days, and the radiative transfer zone (the period of revolution is 27 days). At this level the radial gradient of the angular velocity of solar rotation is extremely large. The magnetic field generated there enters not in the turbulent medium of the convective zone, but in the hydrostatic zone of radiative transfer, which rotates solidly and does not deform the magnetic field. Thus, the magnetic field in this zone turns out to be a force free field. The axial symmetry and force free conditions uniquely determine the solution for the layered structure of the magnetic field in radiative zone. It has the form of concentric embedded layers, the successive output of which on the surface of the Sun draws the development of the solar cycle in all its details.Новые данные о солнечных g-модах и быстровращающемся ядре Солнца (Fossat et al., 2017) позволяют предположить, что генерация магнитного поля Солнца происходит не у основания конвективной зоны в тахоклине, а гораздо глубже на границе солнечного ядра, с периодом обращения семь дней, в то время как период обращения радиативной зоны составляет 27 дней. На этом уровне радиальный градиент угловой скорости вращения Солнца чрезвычайно велик. Генерируемое здесь магнитное поле входит в гидростатическую зону радиационного переноса, которая вращается твердотельно и не деформирует магнитное поле. Таким образом, магнитное поле в этой зоне становится бессиловым. Осевая симметрия и бессиловая природа поля однозначно определяют решение слоевой структуры магнитного поля в радиативной зоне. Оно имеет вид концентрических вложенных слоев, последовательный выход которых на поверхности Солнца описывает развитие солнечного цикла во всех его деталях.Работа поддержана РНФ (проект 15-12-20001)

Additive decomposability of functions over abelian groups

Abelian groups are classified by the existence of certain additive decompositions of group-valued functions of several variables with arity gap 2.Comment: 17 page

System Elements Heterogeneity

The paper deals with the features of the systematic approach development, shows that the systematic approach lacks the definition of system elements divisibility. This fact simplifies the system description. The article shows that, depending on the selection of the criterion of divisibility, different types of elements with different properties are got. Depending on the selection of the criterion of divisibility, the system structure becomes multidimensional. The paper recommends to indicate the criterion of the system divisibility during the systems research. It increases the certainty of the description of a complex system and characterizes the system elements

The Structure of the Solar Torches

The lecture gives a brief overview of the research of the properties of solar faculae. The available models of faculae and their difficulties are discussed. A new 3D analytical model of the steady facular knot, developed by the author in 2018 in the form of a magnetic “fountain” with numerous thin streams of the plasma mapping the magnetic structure of the facula, is presented.В лекции дается краткий обзор исследований свойств солнечных факелов. Обсуждаются имеющиеся модели факелов и их трудности. Излагается новая 3-мерная аналитическая модель факельного узла, разработанная автором в 2018 г. в виде магнитного «фонтана» со множеством тонких струек стационарных течений плазмы, отражающих магнитную структуру факела.Работа поддержана грантом РФФИ № 18-02-00168

Use of biological activity index for determination of the oil polluted area meant for remediation

Determination of the total petroleum hydrocarbons content and the Integrated microbial Indexes of soil was carried out on the territory of oil spill divided on the 27 plots, it was revealed that the area subjected to recultlvation determined on the base of chemical data should be extended about two times taking Into consideration the biological data. The law biological Indexes of the soil require the application of the remediation activities led to the stimulation of indigenous microorganisms for enhancement of hydrocarbons degradation

First- principle calculations of magnetic interactions in correlated systems

We present a novel approach to calculate the effective exchange interaction parameters based on the realistic electronic structure of correlated magnetic crystals in local approach with the frequency dependent self energy. The analog of ``local force theorem'' in the density functional theory is proven for highly correlated systems. The expressions for effective exchange parameters, Dzialoshinskii- Moriya interaction, and magnetic anisotropy are derived. The first-principle calculations of magnetic excitation spectrum for ferromagnetic iron, with the local correlation effects from the numerically exact QMC-scheme is presented.Comment: 17 pages, 3 Postscript figure