Growth rate of 3D heaps of pieces

We consider configurational statistics of three-dimensional heaps of $N$ pieces ($N\gg 1$) on a simple cubic lattice in a large 3D bounding box of base $n \times n$, and calculate the growth rate, $\Lambda(n)$, of the corresponding partition function, $Z_N\sim N^{\theta}[\Lambda(n)]^N$, at $n\gg 1$. Our computations rely on a theorem of G.X. Viennot \cite{viennot-rev}, which connects the generating function of a $(D+1)$-dimensional heap of pieces to the generating function of projection of these pieces onto a $D$-dimensional subspace. The growth rate of a heap of cubic blocks, which cannot touch each other by vertical faces, is thus related to the position of zeros of the partition function describing 2D lattice gas of hard squares. We study the corresponding partition function exactly at low densities on finite $n\times n$ lattice of arbitrary $n$, and extrapolate its behavior to the jamming transition density. This allows us to estimate the limiting growth rate, $\Lambda =\lim_{n\to\infty}\Lambda(n)\approx 9.5$. The same method works for any underlying 2D lattice and for various shapes of pieces: flat vertical squares, mapped to an ensemble of repulsive dimers, dominoes mapped to an ensemble of rectangles with hard-core repulsion, etc.Comment: 14 pages, 8 figures, some comments are added, misprints correcte

Electric dipole moments of Hg, Xe, Rn, Ra, Pu, and TlF induced by the nuclear Schiff moment and limits on time-reversal violating interactions

We have calculated the atomic electric dipole moments (EDMs) induced in ^{199}Hg, ^{129}Xe, ^{223}Rn, ^{225}Ra, and ^{239}Pu by their respective nuclear Schiff moments S. The results are (in units 10^{-17}S(e {fm}^{3})^{-1}e cm): d(^{199}Hg)=-2.8, d(^{129}Xe)=0.38, d(^{223}Rn)=3.3, d(^{225}Ra)=-8.5, d(^{239}Pu)=-11. We have also calculated corrections to the parity- and time-invariance-violating (P,T-odd) spin-axis interaction constant in TlF. These results are important for the interpretation of atomic and molecular experiments on EDMs in terms of fundamental P,T-odd parameters.Comment: 16 page

Atomic electric dipole moments of He and Yb induced by nuclear Schiff moments

We have calculated the atomic electric dipole moments (EDMs) d of ^3He and ^{171}Yb induced by their respective nuclear Schiff moments S. Our results are d(He)= 8.3x10^{-5} and d(Yb)= -1.9 in units 10^{-17}S/(e{fm}^3)e cm. By considering the nuclear Schiff moments induced by the parity and time-reversal violating nucleon-nucleon interaction we find d(^{171}Yb)~0.6d(^{199}Hg). For ^3He the nuclear EDM coupled with the hyperfine interaction gives a larger atomic EDM than the Schiff moment. The result for ^3He is required for a neutron EDM experiment that is under development, where ^3He is used as a comagnetometer. We find that the EDM for He is orders of magnitude smaller than the neutron EDM. The result for Yb is needed for the planning and interpretation of experiments that have been proposed to measure the EDM of this atom.Comment: 4 page

Information technology industry state support as a key problem of ensuring the national security of the Russian Federation

The article analyzes the state support provided by the authorities of the Russian Federation to the information technology industry from the point of ensuring national security. The authors also set a goal to identify the shortcomings of the support, based on regulatory legal acts that have been adopted over the year 2021. The study emphasizes that, despite the balanced approach of the legislator to solving key issues, such as the lack of an unambiguous understanding of some legal categories, gaps in education legislation, insufficient attention to some types of digital technologies, it is necessary to improve the efficiency of public administration and further support of the industry development. Сurrently there is a tendency in the world to tighten legislation in the field of violations in the virtual space, and many states are seeking to streamline and systematize the use of digital technologies, including big data. At the same time, of course, it is not allowed to ignore the fundamental rights and freedoms of the end user. The legislative experience of the European Union is given as an example. Special attention is paid to the need to control the process of knowledge transmission in the information sphere. The novelty and relevance of the study lies in the fact that its main provisions are considered for the first time in Russian humanitarian knowledge. The authors believe that only the question of the conceptual and categorical apparatus was previously considered by Russian specialists, but the conclusions of many researchers are already outdated. The paper also states that in the conditions of rapidly developing digital technologies, it is necessary to create importsubstituting equipment, systems and software that will reduce the digital divide, if it grows

Management of the Republic of Turkey fuel and energy complex: structure and legal regulation

The article examines the management structure of the fuel and energy complex of Turkey as a system of coordinating the activities of state organisations with a certain degree of autonomy that has taken shape over the past two decades. The authors emphasise that this management system is characterised by a sign of decentralisation, which is manifested by the delegation and distribution of a number of powers between subordinate structures. It is assumed that the established tradition in management gives the system flexibility in making significant decisions, which is extremely necessary in conditions of uncertainty in the global hydrocarbon market. The article also analyses the established regulatory framework in the field of regulating the activities of management bodies in the fuel and energy complex of Turkey. The authors focus on two main documents – the president R.T. Erdogan decree, which defined the general principles of the key management body – the Ministry of Energy and Natural Resources, and the energy development plan for the period 2019–2023, which outlines the main tasks and objectives of the management bodies. Special attention is paid to issues of international cooperation. The authors believe that under the current conditions, more active cooperation between Russian and Turkish businesses will help strengthen the positions of Russian oil and gas companies in the energy market in the Eastern Mediterranean, the Middle East and the European Union. In the course of the research, both general theoretical methods of scientific cognition characteristic of most branches of science and special methods used in such branches of knowledge as management theory, law and economics found practical application

Energy policy of the Republic of Turkey: expansion in the Eastern Mediterranean

The article analyzes the modern energy policy of the Republic of Turkey in the Eastern Mediterranean, conducted in line with the center-right ideology of regional dominance. The authors state that the main reason for the emergence of interstate contradictions in the region is the formation of national states in the first half of the last century, whose administrative borders were drawn up and recognized without taking into account ethnic characteristics and centuries-old economic traditions. Another important reason is the desire of official Ankara and the Turkish big business that has taken shape over the past two decades to strengthen its influence in neighboring countries and territories. Modern Turkey, deprived of its own islands in the waters of the eastern Mediterranean and Aegean Seas, insists on revising a number of provisions of international maritime law, which increases the level of tension in the region as a whole, and in Turkish-European relations in particular. The article also emphasizes that the unresolved important interstate problems in the Eastern Mediterranean and Turkey’s active policy in this region opens up new opportunities for the Russian oil and gas business, which require their own balanced expert assessment

Gradients of Taxonomic Diversity among Local Floras in the Russian Arctic

Latitudinal and longitudinal changes in taxonomic variables were analyzed in 319 local floras in the Russian Arctic. Within the studied segment of latitudinal gradient, most changes can be described in terms of linear regression with negative coefficients (a number of species, genera and families), or positive coefficients (a proportion of the leading families and genera). However, the mean number of species in a family or genus almost does not change with increasing latitude, although it slightly increases as one moves eastward. The proportion of monocots does not correlate with latitude, but slightly decreases as one moves eastward. Proportions of various families change asynchronously. Although correlation with longitude was less pronounced, mean species richness was specific to many subprovinces, even within a certain subzone. These differences reflect both the diversity of landscapes and the history of flora formation. Keywords: the Arctic, local floras, latitudinal and longitudinal gradient, floristic subprovince