{"title":"On Average Numbers of Identical (Microscopic) Objects in Their Ns ≥ 3 Possible (Spatial) States and with Probabilistic Transitions between Them in a System with a Constant Number of These (Microscopic) Objects","authors":"V. V. Skobelev","doi":"10.1134/S1063776125700037","DOIUrl":"10.1134/S1063776125700037","url":null,"abstract":"<p>A system consisting of a constant number <i>N</i> of identical objects, each of which can be in one of <i>N</i><sub><i>s</i></sub> ≥ 3 states connected, by definition, by probabilistic relations, is analyzed. The values of these probabilities are determined, as well as the average numbers of the objects in the states and their minimum and maximum possible values, which determine the ranges of variation of these quantities. In particular, the results of this study can be used in the physics of microscopic objects (e.g., atoms) that also exist in hypothetic spaces with dimensions <i>D</i> > 3 (including the values of <i>D</i> = 5, 9 appearing in some models of the field theory). Apart from such a purely scientific value, this study is of the methodical interest as an illustration of basic concepts of the probability theory as applied to the problem under investigation with a possible application in combinatorics.</p>","PeriodicalId":629,"journal":{"name":"Journal of Experimental and Theoretical Physics","volume":"139 1-6","pages":"46 - 54"},"PeriodicalIF":0.8,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164743","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Prediction of Flow Depth of Hydraulic Jump Using Tail Gate in Open Channel","authors":"P. D. Jiwane, A. D. Vasudeo, A. K. Singh","doi":"10.1134/S1063776124601538","DOIUrl":"10.1134/S1063776124601538","url":null,"abstract":"<p>Hydraulic jump is one of the widely used phenomena in open channel flows. Yet a very limited study has been done on hydraulic jump and effects of tail gate. Recognizing the importance of flow depths in hydraulic jump analysis, the objective is to develop predictive equations based on the known tail gate opening (TGO), as the direct measurement of flow depth in the channel is not always feasible. Present study proposes theoretical as well as dimensional analysis model for predicting downstream flow depth of hydraulic jump using TGO. The models are developed for a specific range of experiments and are validated with additional experiments for extended range. The performance of both the models is evaluated using the statistical indices <i>R</i><sup>2</sup>, MAPE, and RMSE. The results indicate that both the theoretical and dimensional analysis models predict the flow depth of hydraulic jump precisely, offering a reliable and efficient alternative to direct flow depth measurements.</p>","PeriodicalId":629,"journal":{"name":"Journal of Experimental and Theoretical Physics","volume":"139 1-6","pages":"1 - 10"},"PeriodicalIF":0.8,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164737","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Determination of Probabilistic Parameters in the Neutrino–Antineutrino System","authors":"V. V. Skobelev","doi":"10.1134/S1063776125700049","DOIUrl":"10.1134/S1063776125700049","url":null,"abstract":"<p>Using some results of our previous investigations, we calculate the probabilistic parameters describing the transformations ν<sub><i>i</i></sub> → ν<sub><i>j</i></sub>, <span>({{bar {nu }}_{i}})</span> → <span>({{bar {nu }}_{j}})</span> (<i>i</i>, <i>j</i> = <i>e</i>, μ, τ; <i>i</i> ≠ <i>j</i>), and ν<sub><i>i</i></sub> <span>( leftrightarrow )</span> <span>({{bar {nu }}_{j}})</span> (<i>i</i>, <i>j</i> = <i>e</i>, μ, τ), which occur, among other things, with the nonconservation of the neutrino lepton numbers, as well as average numbers of ν and <span>(bar {nu })</span>. A possible contribution of such mutual transformations to the known effect of solar neutrino deficit is considered.</p>","PeriodicalId":629,"journal":{"name":"Journal of Experimental and Theoretical Physics","volume":"139 1-6","pages":"55 - 59"},"PeriodicalIF":0.8,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164744","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Investigation of Acoustic Wave Scattering from a System of Soft Screens by the Method of Integral Equations","authors":"V. O. Nesterov, A. A. Tsupak","doi":"10.1134/S1063776125700013","DOIUrl":"10.1134/S1063776125700013","url":null,"abstract":"<p>The aim of this work is a theoretical and numerical study of the scalar problem of diffraction by a system of acoustically soft screens. Material and methods. A rigorous mathematical formulation of the diffraction problem is considered; the Galerkin method is used to numerically solve the system of integral equations. Results. The theorems on the existence and uniqueness of the solution to the diffraction problem are proved; in particular, ellipticity and continuous invertibility of the operator in the system of integral equations are established; the convergence of the Galerkin method is proved. Conclusions. Important results on the solvability of the diffraction problem have been obtained; the projection method for its numerical solution is theoretically justified and implemented.</p>","PeriodicalId":629,"journal":{"name":"Journal of Experimental and Theoretical Physics","volume":"139 1-6","pages":"35 - 40"},"PeriodicalIF":0.8,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164742","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the Problem of Solar Neutrinos","authors":"V. V. Skobelev","doi":"10.1134/S1063776125700025","DOIUrl":"10.1134/S1063776125700025","url":null,"abstract":"<p>Using probabilistic concepts of traditional quantum mechanics, a formal interpretation is proposed for the familiar fact of deviation of the “number” of solar electron neutrinos from the theoretical value obtained based on the generally accepted concept of their generation at the center of the star. The results of this study are in concordance with experimental data.</p>","PeriodicalId":629,"journal":{"name":"Journal of Experimental and Theoretical Physics","volume":"139 1-6","pages":"41 - 45"},"PeriodicalIF":0.8,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164745","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Application of a Combined Computational Grid in the Problem of Body Inhomogeneity Restoration by Near-Field Measurements","authors":"B. A. Zaytsev, M. Yu. Medvedik","doi":"10.1134/S1063776125600370","DOIUrl":"10.1134/S1063776125600370","url":null,"abstract":"<p>The purpose of this study is to develop an effective noninvasive method for determining the properties of an object. To this end, the inverse diffraction problem is solved using combined or generalized computational grids. In this paper, both the direct and inverse problems are described. The result of solving the direct problem follows from the solution of the corresponding volume integral equation. The inverse problem is solved using a two-step method. A numerical method is described in detail. Numerical results have been obtained, and solutions to the problems with noisy and noise-free input data have been compared.</p>","PeriodicalId":629,"journal":{"name":"Journal of Experimental and Theoretical Physics","volume":"139 1-6","pages":"29 - 34"},"PeriodicalIF":0.8,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164736","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the General Form of the Constitutive Equations of Classical Viscoelastic Models in the Laplace Domain","authors":"Che-Yu Lin, Yu-Chen Lin","doi":"10.1134/S1063776125600114","DOIUrl":"10.1134/S1063776125600114","url":null,"abstract":"<p>Classical viscoelastic models constructed using linear springs and dashpots not only lay an important foundation of the theory of viscoelasticity, but also are the most common models adopted to describe the mechanical behaviors of viscoelastic materials in scientific research and engineering. Due to the complicated nature of time-dependent mechanical behaviors of viscoelastic materials and their sensitive dependence on the initial conditions, it is essential to rigorously consider the effects of the initial conditions when using those models in order to achieve accurate analysis results. The purpose of this article is to present the general form of the constitutive equations of classical viscoelastic models in the Laplace domain that is rigorously incorporated with the effects of the initial conditions. The constitutive equations of some fundamental classical viscoelastic models in the Laplace domain are presented as examples. Compared to the general form of the constitutive equations of classical viscoelastic models in the Laplace domain without considering the initial conditions reported in literature, two examples of analysis demonstrate that the newly introduced form incorporated with the effects of the initial conditions can provide accurate analysis results. The newly introduced general form of the constitutive equations of classical viscoelastic models in the Laplace domain not only helps to improve the understanding of concepts in the theory of viscoelasticity, but also provides a tool for accurately describing the mechanical behaviors of viscoelastic materials.</p>","PeriodicalId":629,"journal":{"name":"Journal of Experimental and Theoretical Physics","volume":"139 1-6","pages":"11 - 28"},"PeriodicalIF":0.8,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164738","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
V. I. Vishnyakov, D. V. Brazhnikov, M. N. Skvortsov
{"title":"Light Shift of Coherent Population Trapping Resonances in Cesium Vapor under the Laser Field with Dual Frequency–Amplitude Modulation","authors":"V. I. Vishnyakov, D. V. Brazhnikov, M. N. Skvortsov","doi":"10.1134/S1063776125600254","DOIUrl":"10.1134/S1063776125600254","url":null,"abstract":"<p>In this study, the light shift of coherent population trapping (CPT) resonances is studied in a miniature glass cell (~0.1 cm<sup>3</sup>) filled with <sup>133</sup>Cs vapor. The atoms exposed to the radiation from a vertical-cavity surface-emitting laser (VCSEL). The laser current is modulated at a microwave frequency (≈4.6 GHz), which leads to the frequency modulation (FM) of output radiation. In addition, the light beam is transmitted through an electro-optic modulator (EOM), which is assembled as a Mach–Zehnder interferometer, acquiring amplitude modulation (AM). This dual (FM–AM) modulation leads to essentially nonlinear behavior of the function describing the light shift of the CPT resonance versus the total optical power in the cell. In particular, this function has an extremum that can be used to suppress the influence of small optical power variations in the cell on the stability of the CPT-based quantum frequency standard (QFS). The proposed scheme is characterized by a number of parameters such as the phase difference between the FM and AM signals as well as the bias voltage at EOM, which are additional degrees of freedom for controlling the behavior of the light shift of the CPT resonance. This can be used for the optimization of the QFS operation regime.</p>","PeriodicalId":629,"journal":{"name":"Journal of Experimental and Theoretical Physics","volume":"138 1-6","pages":"50 - 57"},"PeriodicalIF":1.0,"publicationDate":"2025-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143892651","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Electronic Properties and I–V Characteristics of Deformed SWCNT Field Effect Transistors","authors":"M. K. Shamer, M. J. Majid","doi":"10.1134/S1063776124601459","DOIUrl":"10.1134/S1063776124601459","url":null,"abstract":"<p>An elastic mechanical deformation has been applied to a single walled carbon nanotube (SWCNT) in this research to investigate its electronic properties using the tight binding model. This work involves torsional and uniaxial deformation that change the energy spectrum of zigzag, armchair and chiral carbon nanotubes and thus their electronic transport properties. In this paper, we look at the <i>I</i>–<i>V</i> characteristics of a single-walled carbon nanotube field effect transistor (CNTFET) in ballistic conduction at room temperature. The effect of torsional and uniaxial deformation on the performance of carbon nanotube field effect transistors is examined.</p>","PeriodicalId":629,"journal":{"name":"Journal of Experimental and Theoretical Physics","volume":"138 1-6","pages":"25 - 34"},"PeriodicalIF":1.0,"publicationDate":"2025-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143892631","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
B. G. Pokusaev, A. A. Moshin, D. P. Khramtsov, D. A. Nekrasov, A. V. Vyazmin, S. P. Karlov, I. A. Mikhailova
{"title":"Nonstationary Heat Transfer in Graphene-Modified Hydrogels","authors":"B. G. Pokusaev, A. A. Moshin, D. P. Khramtsov, D. A. Nekrasov, A. V. Vyazmin, S. P. Karlov, I. A. Mikhailova","doi":"10.1134/S1063776124601502","DOIUrl":"10.1134/S1063776124601502","url":null,"abstract":"<p>In this study, we investigate the emergence of convective flows in graphene-modified hydrogels experiencing phase transition and determine the thermophysical characteristics of such systems; the results are compared with numerical simulation data. We analyze the effect of graphene on the heat-transfer properties of hydrogel materials as applied to 3D bioprinting technologies. Using holographic interferometry, gradient calorimetry, and resulting temperature dependences of refractive indices, we have developed the computational complex for calculating the thermophysical parameters of hydrogel materials with graphene admixtures. It has been established that even insignificant concentrations of graphene admixture substantially affects the thermophysical properties. It is also shown that a graphene admixture reduces the viscosity of hydrogel samples, which is measured by the Höppler viscometer. Using the experimentally obtained thermophysical and rheological properties of hydrogels with graphene and the results of numerical simulation, we have calculated the Rayleigh numbers for the corresponding convective heat-exchange modes in the experimental cells with a hydrogel. The Rayleigh number (<i>Ra</i>) demonstrates substantial differences in the heat transfer of the material and its convective properties that depend on the viscosity, density, thermal conductivity, and other parameters of the system. In our case, the variations of the Rayleigh number indicate the difference in the thermal and hydrodynamic properties of different hydrogels with graphene.</p>","PeriodicalId":629,"journal":{"name":"Journal of Experimental and Theoretical Physics","volume":"138 1-6","pages":"13 - 24"},"PeriodicalIF":1.0,"publicationDate":"2025-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143892630","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}