Isoperiodic deformations of the acoustic operator and periodic solutions of the Harry Dym equation

We consider the problem of describing the possible spectra of an acoustic operator with a periodic finite-gap density. We construct flows on the moduli space of algebraic Riemann surfaces that preserve the periods of the corresponding operator. By a suitable extension of the phase space, these equations can be written with quadratic irrationalities.Comment: 15 page

Proton and carbon-ion minibeam therapy: from modeling to treatment

Arrays of minibeams of protons and $^{12}$C in tissue-like media were modeled with Geant4 toolkit. A set of beam energies was used in simulations to provide a Spead-out Bragg peak (SOBP) extended by 6 cm in depth for protons as well as for $^{12}$C. In both cases, beams of 0.3 mm or 0.5 mm FWHM were arranged at the entrance to a water phantom either on a rectangular or an hexagonal grid to compare two kinds of projectiles and different minibeam patterns. Differential and cumulative dose-volume histograms (DVH) were calculated and compared for protons and $^{12}$C as dose uniformity metrics. A uniform dose distribution was easily achieved with protons due to an enhanced lateral scattering of these projectiles in comparison to $^{12}$C. The cumulative DVHs calculated for 0.3 mm or 0.5 mm minibeams almost coincide in the target volume, but diverge for different grid patterns. In contrast, cumulative entry DVHs were found similar for both grid patterns, but different for 0.3 mm and 0.5 mm minibeams.Comment: 8 pages, 5 figures, talk given at the XXV International Baldin Seminar on High Energy Physics Problems "Relativistic Nuclear Physics and Quantum Chromodynamics", September 18-23, 2023, Dubna, Russi

A discrete slug population model determined by egg production

Slugs are significant pests in agriculture (as well as a nuisance to gardeners), and it is therefore important to understand their population dynamics for the construction of efficient and effective control measures. Differential equation models of slug populations require the inclusion of large (variable) temporal delays, and strong seasonal forcing results in a non-autonomous system. This renders such models open to only a limited amount of rigorous analysis. In this paper, we derive a novel batch model based purely upon the quantity of eggs produced at different times of the year. This model is open to considerable reduction; from the resulting two variable discrete-time system it is possible to reconstruct the dynamics of the full population across the year and give conditions for extinction or global stability and persistence. Furthermore, the steady state temporal population distribution displays qualitatively different behavior with only small changes in the survival probability of slugs. The model demonstrates how small variations in the favorability of different years may result in widely different slug population fluctuations between consecutive years, and is in good agreement with field data

Concept of Electronic Evidence in Criminal Legal Procedure

Objective: elucidating the potential of digital transformation for elaborating the optimal means and methods of collecting evidences and introducing scientific organization of labor of the officials implementing criminal procedure. The scientific approach within the concept consists in minimizing the costs of collecting evidentiary information in criminal cases in electronic form and by electronic means, as well as storing the criminal case materials in electronic form.Methods: dialectic method occupies the leading position among the research methods, the issues of electronic documentation being considered in the interaction and interdependence with information-technological development of the society. The set of scientific cognition methods within the research creates prerequisites for objective and comprehensive approach to the problems under study.Results: the authors’ concept of electronic evidence is a system of information-technological and legal views on the criminal-procedural form, which is intended for optimizing the process of collecting, registering and preserving them in the criminal case materials. The concept development is aimed at elaborating new approaches to organizing the work of investigation agencies and courts, taking into account the achievements in the sphere of information technologies, providing new techniques of collecting criminal-relevant, criminal-procedural, criminological significant information when investigating and hearing of a criminal case. The proposed concept is also aimed at improving interaction and in-service communication of the officials of the preliminary investigation bodies with the officials of information-technological systems for the purposes of collecting evidentiary information in electronic form.Scientific novelty: the changes were systemically analyzed, which are taking place in the contemporary information society, through the prism of the emerging problems between the sectoral criminal-procedural evidentiary law and more modern technological means of collecting evidentiary information. The article demonstrates a new approach to creating technological interaction using digital technologies, on the scientific base of organization of proving activity, intended to optimize and rationalize the process of proving in criminal procedure.Practical significance: the research materials can be used to prepare proposals on making changes and additions in the current legislation with a view of implementing the practice of already functioning models of criminal-procedural activity of foreign countries, an inexhaustible potential of information-technologies, software, and artificial intelligence to rationalize proving in criminal cases

Geotechnical properties of gullying in Tomsk Oblast

The article deals with causes, conditions and factors of gullying in Tomsk Oblast, the case of site Grodnenskaya. A nuclear-power station was planned to be constructed in Closed Administrative Territorial Unit Seversk, which led to geotechnical investigation of the area to study the geological processes developing there. The investigation included reconnaissance traverse of the area, geological and geomorphic descriptions, and sampling. The area and percentage of the territory affected by the geological processes were estimated. As a result, it was proved that the geological processes of the area are conditioned by surface water activity leading to gullying and river erosion, and by both ground water and surface water activity resulting in bog formation. It appears that gullying is caused not only by natural factors but also by technogenic ones

Magnetism and magnetic phase transition in nanowires of diamagnetically diluted superstrong magnets ε-InxFe1-xO3

The temperature dependences of magnetization of ordered arrays of diamagnetically diluted nanoparticles of superstrong ε-InxFe1-xO3 magnets (x = 0.04, 0.24) in cooling and heating mode in the permanent magnetic fields of different strengths -strong and weak compared to the magnetic anisotropy field -were measured. At temperatures of 150 K for x = 0.04 and 190 K for x = 0.24 a sharp drop in their magnetization is observed, practically to zero. Obtained evidence that the observed magnetic phase transition is accompanied by overturning of magnetization due to spin-reorientation transition of the first kind. The experimental results are described within the magnetodynamic and thermodynamic approaches

Lignosulfonate, anionic surfactants and their mixtures influence on water solutions surface tension and zinc concentrate pressure leaching

The formation of elemental sulfur during sulfide concentrate pressure leaching leads to the appearance of sulfur-sulfide granules, which significantly reduces zinc dissolution rate. The solution for this problem was the use of surfactants, which prevents the negative effect of molten sulfur, avoiding the granule formation during leaching. Lignosulfonates (waste from the woodworking industry) are most often used as reagents for sulfide concentrate pressure leaching. Influence of individual and mixtures of surfactants on surface tension of aqueous solutions, zinc extraction and size-grade distribution of cakes after sulfide zinc concentrate pressure leaching. Surface tension of aqueous solutions was analyzed by stalagmometric method. Leaching was performed in titanium autoclave in presence of lignosulfonate, sodium dodecylbenzenesulfonate and sodium dodecylsulfate. Solutions after leaching were analyzed on zinc by atomic absorption spectroscopy. Size-grade analysis of cakes after leaching was carried out by laser diffraction particle size analyzer. In this work, synergetic influence was observed of anionic surfactants and lignosulfonate on decreasing of aqueous solutions surface tension. The best results were obtained when LS-SDBS mixture was used, namely in the range of sodium dodecylbenzenesulfonate concentrations 400-600 mg / l. Usage of combined surfactants allowed to achieve high rates of zinc extraction and optimal particle size of cakes after leaching. At Ls and SDBS using zinc extraction was increased from 77,2 % up to 82,8 %, with the bulk of the cake (96,7%) having a particle size of-150 μm. Combined surfactants usage (lignosulfonate and sodium dodecylbenzenesulfonate) can be recommended for applying at pressure leaching of sulfide zinc concentrates. © Published under licence by IOP Publishing Ltd.Leaching experiments and grade size analysis were conducted at the expense of the Russian Science Foundation grant (project No. 18-19-00186)

Microcotyle omanae n. sp. (Monogenea: Microcotylidae), a parasite of Cheimerius nufar (Valenciennes) (Sparidae) from the Arabian Sea

Microcotyle omanae n. sp. (Monogenea: Microcotylidae) is described from the gills of Cheimerius nufar (Valenciennes) (Sparidae) from the Arabian Sea. The new species closely resembles Microcotyle arripis Sandars, 1945, M. helotes Sandars, 1944, M. caudata Goto, 1984 and M. sebastis Goto, 1984, which have also been found in the Indo-Pacific. Microcotyle omanae n. sp. differs from M. arripis, M. helotes and M. caudata by its greater number of testes, from M. arripis, M. helotes by its greater length of the genital atrium, length/width ratio of the genital atrium and length of the eggs, and from M. helotes also in greater width of the clamps, from M. caudata and M. sebastis in its greater number of clamps and additionally from M. sebastis by its smaller genital atrial spines and clamps and by the ratio between length and width of the genital atrium. Moreover, the mature specimens of the new species have greater average body length than all above mentioned species. Correlations between 15 morphometric characters and body length are analysed in the new species, and their significance for species differentiation is discussed