ELABORATION OF AN OPTIMAL MODEL FOR THE DEVELOPMENT OF GASTRONOMIC TOURISM IN THE RIGHT-BANK POLISSIA OF UKRAINE

Based on the study of spatial forms of tourism organization, their structure and patterns of formation to prove that the most optimal form is a cluster model of organization. Also to describe the features, structure, composition and life cycle of potential tourist clusters of the object of study. In the process of substantiating the development of a cluster model on the Right-Bank Polissia of Ukraine the authors used a combination of general and special methods of scientific research (modeling, information, cluster analysis, geoinformation mapping). It is proved that the creation of regional clusters of gastronomic tourism development of the Right-Bank Polissia of Ukraine will lead to the strengthening of competitive advantages of its participants. The proposed cluster model has been visualized cartographically, also its administrative and functional structure has been developed. Substantiated clusters of gastronomic tourism of the region will become the basis for further scientific research aimed at dividing the territory of the Right-Bank Polissia of Ukraine on the basis of the operational units allocation for gastronomic and tourist zoning.

Synthesis, properties, application of nanosized powders of oxides and hydroxides. Cluster model of water state on their surface

The work is devoted to the development of the physicochemical foundations of the processes of obtaining powders of oxides and hydroxides, including aluminum, magnesium, calcium, and silicon with a given shape, size, impurity and phase composition, low thermal conductivity, etc., by methods of pyrolysis of a polymer matrix and hydrothermal treatment element-containing precursors, as well as the creation of a mechanism that allows describing the phase transformations of powders of oxides and hydroxides and reveals the role of water clusters with a low heat of vaporization in phase transformations.

Critical points of the random cluster model with Newman-Ziff sampling

We present a method for computing transition points of the random cluster model using a generalization of the Newman-Ziff algorithm, a celebrated technique in numerical percolation, to the random cluster model. The new method is straightforward to implement and works for real cluster weight $q>0$. Furthermore, results for an arbitrary number of values of $q$ can be found at once within a single simulation. Because the algorithm used to sweep through bond configurations is identical to that of Newman and Ziff, which was conceived for percolation, the method loses accuracy for large lattices when $q>1$. However, by sampling the critical polynomial, accurate estimates of critical points in two dimensions can be found using relatively small lattice sizes, which we demonstrate here by computing critical points for non-integer values of $q$ on the square lattice, to compare with the exact solution, and on the unsolved non-planar square matching lattice. The latter results would be much more difficult to obtain using other techniques.

A Novel Chain-Cluster Model of Magnetorheological Elastomer for the Dynamic Mechanical Performance Research

The existing research on magnetorheological elastomer (MRE) mainly focused on the improvement of MRE formula and structural design of MRE devices. As to the microscopic mechanism, less research has been done. Based on the scanning electron micrograph (SEM) of MRE, a novel chain-cluster model of MRE was constructed in this study. Particle size and particle distance were introduced simultaneously to the constitutive relation of MRE. The dynamic mechanical properties of MRE are studied theoretically and experimentally. Using the constructed chain-cluster model of MRE, the effect of magnetic field, particle volume fraction and strain on the magnetic-induced modulus of MRE were simulated. Rotating rheometer was adopted to test the magnetic response characteristics of MREs. Simulation and test results showed that the maximum magnetic-induced modulus tested experimentally was in good agreement with that calculated theoretically. Thus, the constructed chain-cluster model of MRE shows an important role in the field of intelligent vibration. It not only makes great sense in the prediction of MRE property but provides guidance on the property improvement of MRE.

Study of the matter density distributions of halo nuclei 6He and 16C using the binary cluster model

The harmonic oscillator (HO) and Gaussian (GS) wave functions within the binary cluster model (BCM) have been employ to investigate the ground state neutron, proton and matter densities as well as the elastic form factors of two-neutron 6He and 16C halo nuclei. The long tail is a property that is clearly revealed in the density of the neutrons since it is found in halo orbits. The existence of a long tail in the neutron density distributions of 6He and 16C indicating that these nuclei have a neutron halo structure. Moreover, the matter rms radii and the reaction cross section (σr) of these nuclei have been calculated using the Glauber model.

MODELING OF THE CLUSTER STRUCTURE IN THE SYSTEM OF SUSTAINABLE DEVELOPMENT OF THE REGION

The article examines the essence of clusters and their role in achieving the goals of sustainable development. The advantages of the transition to a cluster model of sustainable development at the regional level have also been substantiated. A model of the structure of a cluster in the system of sustainable development has been developed.