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1

Aghazade, A. I., S. M. Rustamova, I. M. Gojayeva, E. N. Orujlu, D. M. Babanly, and A. N. Mammadov. "MULTI-3D MODELING OF PHASE DIAGRAM OF PbTe-Bi2Te3-Sb2Te3 SYSTEM." Chemical Problems 21, no. 4 (2023): 353–60. http://dx.doi.org/10.32737/2221-8688-2023-4-353-360.

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Using the analytical option of the Origin Lab computer program, the analytical dependences of the liquidus temperature on the composition for the PbTe-Bi2Te3, PbTe-Sb2Te3, Bi2Te3-Sb2Te3 boundary systems of the PbTe-Bi2Te3-Sb2Te3 ternary system were determined. Based on these dependencies and thermal analysis data of the ternary system, the analytical model of the temperature-composite dependence of the crystallization surfaces of PbTe, Sb2Te3, Bi2Te3 compounds and PbBi2Te4, PbBi4Te7, PbBi6Te10 phases in the PbTe-Bi2Te3-Sb2Te3 system was determined. The resulting equations made it possible to v
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2

Parfenova, М. D., V. Р. Vorob’eva, V. I. Lutsyk, А. Е. Zelenaya, and V. D. Baldanov. "Phase diagram of the eutectic type LiCl-PrCl3-KCl system with wedging liquidus of binary compound." Proceedings of the National Academy of Sciences of Belarus, Chemical Series 60, no. 2 (2024): 105–14. http://dx.doi.org/10.29235/1561-8331-2024-60-2-105-114.

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Based on the published experimental data (phase diagrams of three binary systems, four isothermal sections and DTA curves of 33 alloys), a spatial (three-dimensional – 3D) computer model of the LiCl-PrCl3-KCl phase diagram has been constructed. It is shown that, in the general case, the diagram is formed by 66 surfaces and 27 phase regions; however, due to the negligible solubility of the initial chlorides and the stoichiometry of the two binary compounds in reality, it consists of 31 surfaces and 14 phase regions. The evaluation of the quality of the obtained 3D model is a comparison of model
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3

Vorob’eva, V. P., А. E. Zelenaya, V. I. Lutsyk, V. A. Vorozhtcov, V. I. Almjashev, and V. L. Stolyarova. "STATE DIAGRAM OF THE ZrO<sub>2</sub>–SiO<sub>2</sub>–Al<sub>2</sub>O<sub>3</sub> SYSTEM WITH VISUALIZATION BY COMPUTER 3D-MODEL AND CALCULATION USING THE NUCLEA DATABASE." Доклады Российской академии наук. Химия, науки о материалах 511, no. 1 (2023): 77–87. http://dx.doi.org/10.31857/s2686953522600507.

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The three-dimensional (3D) computer model of the isobaric phase diagram of the ZrO2–SiO2–Al2O3 system with formation of the ZrSiO4 and Al6Si2O13 compounds is presented. The development of its geometric structure was carried out through the sequential construction of the phase reaction scheme, including all polymorphic transitions in the sub-solidus and the rearrangement of the interaction of binary compounds as well as zirconium and aluminum oxides, its transformation into the scheme of uni- and invariant states in the tabular and graphical (3D) forms, the construction of the prototype, and it
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4

Lutsyk, Vasily I., Anna E. Zelenaya, and Vera V. Vorob’eva. "Phase transformations in systems formed by titanium, silicon, aluminum, and zirconium oxides: Phase diagrams prediction and modeling. Review." Kondensirovannye sredy i mezhfaznye granitsy = Condensed Matter and Interphases 26, no. 4 (2024): 666–86. https://doi.org/10.17308/kcmf.2024.26/12397.

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This paper provides a review of variants of phase diagrams of binary and ternary systems constituting the TiO2-Al2O3-SiO2-ZrO2 four-component system. The study involved building spatial (three-dimensional (3D)) computer models of the isobaric phase diagrams for four ternary oxide systems (and their variants, in case of contradicting initial data obtained by different researchers) constituting this quaternary system. The geometric structure of its phase diagram was also predicted. For this purpose, phase diagram models were constructed as geometric objects in three-dimensional (3D) or four-dime
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5

Parfenova, M. D., V. P. Vorob'eva, and V. I. Lutsyk. "3D computer model of the Ag-Cu-Ni T-x-y diagram: verification of sections in the atlas of phase diagrams for lead-free soldering." Proceedings of the National Academy of Sciences of Belarus, Chemical Series 57, no. 1 (2021): 15–24. http://dx.doi.org/10.29235/1561-8331-2021-57-1-15-24.

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Spatial (three-dimensional - 3D) computer model of the T-x-y diagram of the Ag - Cu - Ni system, which is promising for the development of environmentally friendly solders, is presented. The model is constructed on the basis of published data on the binary systems forming this ternary system, the concentration projection of the liquidus surfaces, and four isothermal sections. It is shown that the phase diagram (PD) consists of 14 surfaces and 9 phase regions. The adequacy of the model is confirmed by comparing the isothermal sections and the liquidus projection.
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6

Vorob’eva, Vera P., Anna E. Zelenaya, Vasily I. Lutsyk, and Marina V. Lamueva. "A 3D computer model of the CaO-MgO-Al2O3 T-x-y diagram at temperatures above 1300 °C." Kondensirovannye sredy i mezhfaznye granitsy = Condensed Matter and Interphases 23, no. 3 (2021): 380–86. http://dx.doi.org/10.17308/kcmf.2021.23/3529.

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The research analyses the controversies surrounding the technique for the formation of a CaO-Al2O3 binary system and the nature of melting of compounds in it, i.e. whether the 12:7 compound is technically possible and whether the 1:1 and 1:2 compounds are congruently or incongruently melting compounds. It also discusses whether in the CaO-MgO-Al2O3 ternary system the following compounds can be formed: a 3:1:1 compound alone or, in addition to it, two more compounds of 1:2:8 and 2:2:14. A 3D model of the T-x-y diagram was created for the most common version, with six binary and three ternary co
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7

SCHMELZER, JÜRN, and D. P. LANDAU. "MONTE CARLO SIMULATION OF NUCLEATION AND GROWTH IN THE 3D NEAREST-NEIGHBOR ISING MODEL." International Journal of Modern Physics C 12, no. 03 (2001): 345–59. http://dx.doi.org/10.1142/s012918310100178x.

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Monte Carlo simulations of nucleation and growth processes in an Ising-binary alloy model are presented. The evolution of the cluster size distribution function and its characteristic properties (mean radius and concentration of the clusters) has been investigated from the initial quench into the metastable region of the phase diagram until the establishment of the final equilibrium. All classical stages of nucleation and growth could be observed, the stages of steady-state nucleation, independent growth and Ostwald ripening. A quantitative analysis of the simulational results in terms of the
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8

Burchakov, Alexander V., Ivan K. Garkushin, Sergey N. Milov, and Maria A. Sukharenko. "Forecasting of phase equilibria in the system NaCl-Na2MoO4-Na2WO4 at the liquid-solid interface." Butlerov Communications 60, no. 10 (2019): 124–39. http://dx.doi.org/10.37952/roi-jbc-01/19-60-10-124.

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The paper presents the results of a theoretical study of the phase complex of a three-component system consisting of tungstates, molybdates and sodium chlorides for equilibrium "liquid - solid". Previously, a literature review was conducted on data on phase equilibria in the condensed state of individual salts, binary faceting systems. In two NaCl-Na2MoO4 and NaCl-Na2WO4 binary systems, a eutetic equilibrium is observed with the formation of solid phases corresponding to the system components and Na3ClMoO4 and Na3ClWO4, and in binary faceting system Na2MoO4 – Na2WO4, one phase of a continuous
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9

Lutsyk, V. I., V. P. Vorob'eva, A. E. Zelenaya, and M. V. Lamueva. "3D computer model of the Co-Cu-CoS-Cu2S subsystem T-x-y diagram above 800°C." Journal of Mining and Metallurgy, Section B: Metallurgy, no. 00 (2021): 28. http://dx.doi.org/10.2298/jmmb190307028l.

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The three-dimensional computer model of the Co-Cu-CoS-Cu2S subsystem T-x-y diagram at temperatures above 800oC is represented. It is shown that the liquid immiscibility in the binary subsystem Cu-Cu2S is transformed within the ternary system with Co into the wide two-phase region of two immiscible melts, which interrupts the univariant curve of the Co and Cu2S co-crystallization. The special features of the structure of the solidus surface of cobalt, caused by liquid-phase immiscibility are considered.
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10

Hajdu, F., and Gy Molnárka. "Parallel Numerical Creation of Phase-space Diagrams of Nonlinear Systems Using Maple." Acta Technica Jaurinensis 11, no. 3 (2018): 132–49. http://dx.doi.org/10.14513/actatechjaur.v11.n3.457.

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In this paper the numerical creation of phase-plane diagrams in parallel utilizing Maple is presented. One of the most effective method for studying nonlinear systems is the creation of detailed enough phase-plane diagrams. But in the case of large systems it requires huge amount of numerical calculation, which can be accelerated using parallel computers. Here we show some attempts for this using moderate size known problems. We demonstrate that detailed diagrams can be created fast and efficiently with a SIMD model based algorithm even using simple PC-s. We exhibit that the parallel algorithm
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11

KUTLU, B., A. ÖZKAN, N. SEFEROĞLU, A. SOLAK, and B. BINAL. "THE TRICRITICAL BEHAVIOR OF THE 3D BLUME–CAPEL MODEL ON A CELLULAR AUTOMATON." International Journal of Modern Physics C 16, no. 06 (2005): 933–50. http://dx.doi.org/10.1142/s0129183105007601.

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The three-dimensional BC model is simulated on a cellular automaton which improved from the Creutz cellular automaton for simple cubic lattice. The phase diagram characterizing phase transition of the model is obtained for a comparison with those obtained from other calculations. The simulations confirm the existence of a tricritical point at which the phase transition changes from second-order to first-order at D/J =2.82. For the determined of the tricritical point, the thermodynamics quantities are computed using two different procedures which is called as the standard and the cooling algori
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12

Burchakov, A. V., and E. O. Burchakova. "Modeling of The Phase Complex Of A Stable Pentatope LiF-K2CrO4-Rb2CrO4-KF-RbF of the four-component mutual system Li+, K+, Rb+||F–, CrO." Žurnal neorganičeskoj himii 69, no. 6 (2024): 874–83. https://doi.org/10.31857/s0044457x24060096.

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The quasi-four-component system LiF–K2CrO4–Rb2CrO4–KF–RbF, which is a stable pentatope of the four-component mutual system Li+,K+,Rb+||F–,CrO, is selected for study. The prediction of non-invariant and monovariant equilibria in the system was carried out using the crystallization scheme: the eutectic equilibrium L ⇄ LiF + KxRb1–xF + α-K2xRb2–2xCrO4 + α-K3xRb3–3xFCrO4, is carried out in the system, which is confirmed by differential thermal analysis. The crystallization scheme makes it possible to predict non- and monovariant equilibria based on the analysis of faceting systems. The composition
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13

Vorob'eva, Vera, Anna Zelenaya, Vasily Lutsyk, et al. "Modeling of the ZrO2-SiO2-Al2O3 phase diagram using simulation by the 3D computer model and the NUCLEA database." Materials Science and Engineering: B 297 (November 2023): 116790. http://dx.doi.org/10.1016/j.mseb.2023.116790.

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14

DANILOV, DENIS, and BRITTA NESTLER. "PHASE-FIELD SIMULATIONS OF EUTECTIC SOLIDIFICATION USING AN ADAPTIVE FINITE ELEMENT METHOD." International Journal of Modern Physics B 20, no. 07 (2006): 853–67. http://dx.doi.org/10.1142/s0217979206033504.

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A finite element method with a semi-implicit time update and an adaptive mesh refinement is used to numerically simulate characteristic growth morphologies in binary eutectic alloys for varying process conditions. The evolution equations are based on a recently developed phase-field model.1 Microstructure formations in typical temperature-composition regions of the eutectic phase diagram are computed showing single cellular primary phase growth, melting of eutectics, eutectic and off-eutectic solidification. We consider 2D and 3D lamellar two-phase growths, analyze the angle conditions at the
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15

Lutsyk, Vasily, Anna Zelenaya, and Ya Zhou Dai. "Li,Na,Rb,La||F System for Molten Salt Reactor: 3D and 4D Computer Models." Advanced Materials Research 704 (June 2013): 349–52. http://dx.doi.org/10.4028/www.scientific.net/amr.704.349.

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A computer model of LiF-KF-LaF3 system as one of the bounding systems of LiFNaFRbFLaF3 system is presented. The phase regions structures, horizontal and vertical sections are analyzed. The computer simulation of T-x-y diagrams can be used as an instrument to solve different applied tasks for molten salt reactor application.
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16

Kim Anh, Nguyen Thi. "THE PHYSICS OF SPIN-1/2 XY MODEL WITH FOUR-SITE EXCHANGE INTERACTION ON THE KAGOME LATTICE." Vietnam Journal of Science and Technology 54, no. 1A (2018): 17. http://dx.doi.org/10.15625/2525-2518/54/1a/11801.

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The quantum spin liquid (QSL) state, proposed more than three decades ago by Fazekas and Anderson remains surprisingly elusive. Although recent experiments provide a strong evidence of their existence in the frustrated spin systems, the microscopic model for this state is still rare. The extensive theoretical framework, developed over decades, continues to extend further motivated by these and other discoveries from large-scale computer simulations of a relatively small number of models. In this work, we discuss the physics of the ground-state phase diagram of a two-dimensional Kagome lattice
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17

Burchakov, Alexander V. "Phase complex model of ternary reciprocal system Na+,Sr2+||WO42-,MoO42-." Butlerov Communications 59, no. 8 (2019): 103–15. http://dx.doi.org/10.37952/roi-jbc-01/19-59-8-103.

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The paper presents the results of a theoretical study of the phase complex of a three-component reciprocal system consisting of sodium and strontium tungstates and molybdates. Previously, a literature review was conducted on data on phase equilibria in the condensed state of individual salts, binary faceting systems. In two Na2MoO4 – SrMoO4 and Na2WO4 – SrWO4 binary systems, a eutetic equilibrium is observed with the formation of solid phases corresponding to the system components, and in two other Na2MoO4 – Na2WO4 and SrMoO4 – SrWO4 binary systems, one phase of a continuous series of solid so
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18

Smoljan, Bozo, and Suncana Smokvina Hanza. "AN APPLICATION OF COMPUTER SIMULATION OF AUSTENITE DECOMPOSITION IN OPTIMIZATION OF HOT ROLLING OF LOW ALLOYED STEEL BARS." International Journal of Modern Manufacturing Technologies 15, no. 1 (2023): 34–43. http://dx.doi.org/10.54684/ijmmt.2023.15.1.34.

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Modern technologies need more and more precise computer design of manufacturing processes. Especially it is visible in thermal processing of steel, such as hot rolling, hot forging, casting, welding, 3D printing, and so on. An application of computer simulation of austenite decomposition in optimization of manufacturing of low alloyed steel bars by hot rolling was studied. For this purpose the mathematical model and computer software for very precise anticipation of TTT diagrams data was developed. The calculation of TTT diagrams data was based on chemical composition of low alloyed steels. Th
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19

Debbouche, Nadjette, Adel Ouannas, Iqbal M. Batiha, et al. "Chaotic Behavior Analysis of a New Incommensurate Fractional-Order Hopfield Neural Network System." Complexity 2021 (November 8, 2021): 1–11. http://dx.doi.org/10.1155/2021/3394666.

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This study intends to examine different dynamics of the chaotic incommensurate fractional-order Hopfield neural network model. The stability of the proposed incommensurate-order model is analyzed numerically by continuously varying the values of the fractional-order derivative and the values of the system parameters. It turned out that the formulated system using the Caputo differential operator exhibits many rich complex dynamics, including symmetry, bistability, and coexisting chaotic attractors. On the other hand, it has been detected that by adapting the corresponding controlled constants,
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20

Budiwantoro, Bagus, Indra Djodikusumo, and Ade Ramdan. "ANALYSIS OF GEOMETRICAL SPECIFICATION IN DECANTER CENTRIFUGE MACHINE." ASEAN Engineering Journal 8, no. 2 (2018): 29–47. http://dx.doi.org/10.11113/aej.v8.15501.

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A decanter centrifuge machine has been developed and currently at a complete stage of a preliminary 3D design layout. The next phase is a production phase. In the production phase, an ideal component that is identical with the 3D model will never be realized. Every manufacturing process has unavoidable variations. If they are accumulated, they can be immense and may cause serious problems. The machine may fail. Thus, the analysis of geometry specification is necessary to be conducted. The main objective of this study is to design the geometry specification which includes their tolerance to ass
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21

Scalettar, R. T., D. J. Scalapino, R. L. Sugar, and D. Toussaint. "Phase diagram of the half-filled 3D Hubbard model." Physical Review B 39, no. 7 (1989): 4711–14. http://dx.doi.org/10.1103/physrevb.39.4711.

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22

Qiao, Hu, Xufan Wang, Zihao Wang, Liang Wang, and Ying Xiang. "Common Structure Mining of 3D Model Assembly Model Based on Frequent Subgraphs." Scientific Programming 2022 (July 19, 2022): 1–17. http://dx.doi.org/10.1155/2022/6829386.

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As an important data source of complex product design and manufacturing, 3D assembly model has accumulated a large number of 3D assembly models in various manufacturing industries under the background of widely used digital design technology. In order to make better use of reusable common structure information about 3D assembly model, reduce repetitive labor, and shorten product development cycles, a common structure mining method of 3D assembly models was proposed. Firstly, based on the attribute neighbourhood diagram of individual parts of the 3D assembly model, the information of the assemb
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23

Fytas, N. G., and A. Malakis. "Phase diagram of the 3D bimodal random-field Ising model." European Physical Journal B 61, no. 1 (2008): 111–20. http://dx.doi.org/10.1140/epjb/e2008-00039-7.

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24

Tkachenko, Alexei V. "Generic phase diagram of binary superlattices." Proceedings of the National Academy of Sciences 113, no. 37 (2016): 10269–74. http://dx.doi.org/10.1073/pnas.1525358113.

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Emergence of a large variety of self-assembled superlattices is a dramatic recent trend in the fields of nanoparticle and colloidal sciences. Motivated by this development, we propose a model that combines simplicity with a remarkably rich phase behavior applicable to a wide range of such self-assembled systems. Those systems include nanoparticle and colloidal assemblies driven by DNA-mediated interactions, electrostatics, and possibly, controlled drying. In our model, a binary system of large and small hard spheres (L and S, respectively) interacts via selective short-range (“sticky”) attract
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25

Cirillo, E. N. M., G. Gonnella, D. A. Johnston, and A. Pelizzola. "The phase diagram of the gonihedric 3d Ising model via CVM." Physics Letters A 226, no. 1-2 (1997): 59–64. http://dx.doi.org/10.1016/s0375-9601(96)00918-8.

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26

Popkov, V., and B. Nienhuis. "The 3D multi-layered solvable six-vertex model: The phase diagram." Journal of Physics A: Mathematical and General 30, no. 1 (1997): 99–116. http://dx.doi.org/10.1088/0305-4470/30/1/008.

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27

Qian, Z., Erik Schlangen, Guang Ye, and Klaas van Breugel. "3D Lattice Fracture Model: Theory and Computer Implementation." Key Engineering Materials 452-453 (November 2010): 69–72. http://dx.doi.org/10.4028/www.scientific.net/kem.452-453.69.

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The lattice fracture model is presented in this paper, which is intended to simulate the fracture processes in multiphase materials to obtain the mechanical behavior in terms of load-displacement diagram and the cracks propagation. The basic procedures of lattice fracture analysis is that imposing a prescribed displacement on a lattice structure, finding the critical lattice element with the highest stress/strength ratio, removing it from the system and repeating until the system fails globally. One of the challenges in computer implementation of 3D lattice fracture model is the huge demand fo
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28

Aghazade, A. I., V. I. Babanly, I. M. Gojayeva, E. N. Orujlu, and A. N. Mammadov. "3D MODELING OF PHASE DIAGRAM OF THE TERNARY SnTe-PbTe-Bi2Te3 SYSTEM." Azerbaijan Chemical Journal, no. 2 (June 19, 2023): 62–68. http://dx.doi.org/10.32737/0005-2531-2023-2-62-68.

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For the SnTe–PbTe–Bi2Te3 system, an analytical model of the temperature-composition dependencies of the crystallization surfaces of the SnTe, PbTe, Bi2Te3, compounds and the ternary PB(Sn)Bi2Te4, Pb(Sn)Bi4Te7, PB(Sn)Bi6Te10 phases formed on based on them was developed and visualized using the 3D analytical function of OriginLab software. The analytical multi-3D model of the phase diagram of the SnTe–PbTe–Bi2Te3 system allows drawing a three-dimensional image of the phases in equilibrium from different angles, obtaining 2D projections, and tabulating the coordinates of the phase diagram. These
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29

Liang, Yuanchang, Hiroyuki Kato, and Minoru Taya. "Model calculation of 3D-phase transformation diagram of ferromagnetic shape memory alloys." Mechanics of Materials 38, no. 5-6 (2006): 564–70. http://dx.doi.org/10.1016/j.mechmat.2005.08.002.

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30

Dudalov, D. E., Y. D. Fomin, E. N. Tsiok, and V. N. Ryzhov. "How dimensionality changes the anomalous behavior and melting scenario of a core-softened potential system?" Soft Matter 10, no. 27 (2014): 4966–76. http://dx.doi.org/10.1039/c4sm00124a.

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We present a computer simulation study of the phase diagram and anomalous behavior of two-dimensional (2D) and three-dimensional (3D) classical particles repelling each other through an isotropic core-softened potential.
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31

BOROVICK, A. E., S. I. KULINICH, V. Yu POPKOV, and Yu M. STRZHEMECHNY. "A NEW SOLVABLE 3D MODEL OF STATISTICAL MECHANICS: THE FREE-FERMION SOLUTION." International Journal of Modern Physics B 10, no. 04 (1996): 443–53. http://dx.doi.org/10.1142/s0217979296000180.

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We obtain a new exactly solvable K-plane vertex model. This 3D model is one wih real Boltzmann weights and nearest neighbor interactions. The corresponding Yang-Baxter equation is proved. The Bethe ansatz has also been found, enabling us to completely investigate the phase diagram in the “free fermions” case.
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32

Mahabadi, Nariman, Leon van Paassen, Ilenia Battiato, Tae Sup Yun, Hyunwook Choo, and Jaewon Jang. "Impact of Pore-Scale Characteristics on Immiscible Fluid Displacement." Geofluids 2020 (May 15, 2020): 1–10. http://dx.doi.org/10.1155/2020/5759023.

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Immiscible fluid flows (drainage displacement) where nonwetting fluid invades porous media filled with wetting fluid are frequently observed. Numerous studies have confirmed the existence of three different displacement patterns which depend on the viscosity ratio and capillary number: stable displacement, viscous fingering, and capillary fingering. However, the phase boundary and displacement efficiency of each displacement pattern can vary significantly depending on the characteristics of the experimental and numerical tools employed. In this study, a three-dimensional (3D) tube network mode
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33

Cortez, V., G. Saravia, and E. E. Vogel. "Phase diagram and reentrance for the 3D Edwards–Anderson model using information theory." Journal of Magnetism and Magnetic Materials 372 (December 2014): 173–80. http://dx.doi.org/10.1016/j.jmmm.2014.07.055.

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34

Imamaliyeva, S. Z., G. I. Alakbarzade, A. N. Mamedov, and M. B. Babanly. "MODELING THE PHASE DIAGRAM OF THE Tl9TbTe6–Tl4PbTe3–Tl9BiTe6 SYSTEM." Azerbaijan Chemical Journal, no. 2 (June 29, 2021): 6–12. http://dx.doi.org/10.32737/0005-2531-2021-2-6-12.

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The analytical multi 3D model of phase diagram of the Tl9TbTe6–Tl8Pb2Te6–Tl9BiTe6 system was obtained as temperature dependence on the composition using the Multipurpose Genetic Algorithm (MGA). It was determined that the system is characterized by the formation of continuous solid solutions with tetragonal Tl5Te3-type structure (δ-phase). The boundaries of the uncertainty band for the liquidus and solidus surfaces of the δ-phase and the TlTbTe2 compound are determined. The thermodynamic functions of mixing of the solid solutions depending on the composition and temperature are determined base
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35

Chung, Ook, Hogeun Yoo, Suhyoun Song, and Jaehoon Lee. "Differential-to-Common-Mode Noise Conversion Suppression on Right-Angle-Bent Differential Transmission Lines Using 3D-Printed Dielectric Materials." International Journal of RF and Microwave Computer-Aided Engineering 2023 (September 20, 2023): 1–8. http://dx.doi.org/10.1155/2023/1130129.

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A method using 3D-printed dielectric materials is proposed to suppress differential-to-common-mode noise conversion in right-angle-bent differential transmission lines. The permittivity of the 3D-printed dielectric material decreases the phase velocity of the shorter inner line of the differential transmission lines. Decreasing the phase velocity of the inner line enables the transmission line phase difference to approach 180°, suppressing differential-to-common-mode noise conversion. Simulation shows that increasing the length of the dielectric material causes a decrease in the phase velocity
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36

Heller, Anna-Dorothea, Angelo Valleriani, and Amaia Cipitria. "Phase diagrams of bone remodeling using a 3D stochastic cellular automaton." PLOS ONE 19, no. 6 (2024): e0304694. http://dx.doi.org/10.1371/journal.pone.0304694.

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We propose a 3D stochastic cellular automaton model, governed by evolutionary game theory, to simulate bone remodeling dynamics. The model includes four voxel states: Formation, Quiescence, Resorption, and Environment. We simulate the Resorption and Formation processes on separate time scales to explore the parameter space and derive a phase diagram that illustrates the sensitivity of these processes to parameter changes. Combining these results, we simulate a full bone remodeling cycle. Furthermore, we show the importance of modeling small neighborhoods for studying local bone microenvironmen
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37

Rull, Luis F. "Phase diagram of a liquid crystal model: A computer simulation study." Physica A: Statistical Mechanics and its Applications 220, no. 1-2 (1995): 113–38. http://dx.doi.org/10.1016/0378-4371(95)00118-q.

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38

KNEUR, JEAN-LOÏC, MARCUS BENGHI PINTO, RUDNEI O. RAMOS, and EDERSON STAUDT. "PHASE DIAGRAM OF THE THREE DIMENSIONAL FOUR FERMI MODEL WITH FINITE N CORRECTIONS." International Journal of Modern Physics E 16, no. 09 (2007): 2802–5. http://dx.doi.org/10.1142/s0218301307008446.

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We study the phase diagram of the 3d massless Gross–Neveu model with different numbers of fermionic species, N. Using the Optimized Perturbation Theory technique, the free energy is evaluated at finite temperature and chemical potential. The analytical results allow us to calculate critical quantities for any value of N and, in the present work, we choose de values N = 1,3,4,10. In addition, we determine the evolution of the tricritical points, in the temperature versus chemical potential plane for these different values of N.
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39

Guimarães, M., B. V. Costa, A. S. T. Pires, and A. Souza. "Phase diagram of the 3D quantum anisotropic XY model—A quantum Monte Carlo calculation." Journal of Magnetism and Magnetic Materials 332 (April 2013): 103–8. http://dx.doi.org/10.1016/j.jmmm.2012.12.012.

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40

Lutsyk, V. I., V. P. Vorob'eva, and Anna Zelenaya. "Reference Book on the Oxide Systems Space Diagrams as a Tool for Data Mining." Solid State Phenomena 230 (June 2015): 51–54. http://dx.doi.org/10.4028/www.scientific.net/ssp.230.51.

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The Reference Book of Ternary Oxide Systems phase diagrams computer models is presented. Its computer models of T-x-y diagrams give a possibility to calculate the mass balances at any temperature, to observe crystallization history and the process of microstructure forming at different crystallization stages. The investigation of concentration fields with the different phase constituents on the T-x-y diagram projection by means of its computer model is considered. Phase diagram of CaO-SiO2-Al2O3system is used as an example.
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41

Pérez, Ángel G. C., Eric Avila-Vales, and Gerardo Emilio García-Almeida. "Bifurcation Analysis of an SIR Model with Logistic Growth, Nonlinear Incidence, and Saturated Treatment." Complexity 2019 (July 3, 2019): 1–21. http://dx.doi.org/10.1155/2019/9876013.

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There is a wide range of works that have proposed mathematical models to describe the spread of infectious diseases within human populations. Based on such models, researchers can evaluate the effect of applying different strategies for the treatment of diseases. In this article, we generalize previous models by studying an SIR epidemic model with a nonlinear incidence rate, saturated Holling type II treatment rate, and logistic growth. We compute the basic reproduction number and determine conditions for the local stability of equilibria and the existence of backward bifurcation and Hopf bifu
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42

Ramazanov, M. K., and A. K. Murtazaev. "Computer simulation of phase transitions of the Heisenberg antiferromagnetic model." Daghestan Electronic Mathematical Reports, no. 11 (2019): 25–31. http://dx.doi.org/10.31029/demr.11.3.

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Based on the replica algorithm by the Monte Carlo method, a computer simulation of the three-dimensional antiferromagnetic Heisenberg model is performed, taking into account the interactions of the first and second nearest neighbors. The phase transitions of this model are studied. The investigations were carried out for the ratios of the exchange interactions of the first and second nearest neighbors $r = J_2 / J_1$ in the range $0.0 \leq r \leq 1.0$. The phase diagram of the critical temperature dependence on a value of the next-nearest neighbor interaction is plotted.
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43

Wang, Jin, and Zhao Li. "A Dynamical Analysis and New Traveling Wave Solution of the Fractional Coupled Konopelchenko–Dubrovsky Model." Fractal and Fractional 8, no. 6 (2024): 341. http://dx.doi.org/10.3390/fractalfract8060341.

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The main object of this paper is to study the traveling wave solutions of the fractional coupled Konopelchenko–Dubrovsky model by using the complete discriminant system method of polynomials. Firstly, the fractional coupled Konopelchenko–Dubrovsky model is simplified into nonlinear ordinary differential equations by using the traveling wave transformation. Secondly, the trigonometric function solutions, rational function solutions, solitary wave solutions and the elliptic function solutions of the fractional coupled Konopelchenko–Dubrovsky model are derived by means of the polynomial complete
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44

Vorob’eva, V. P., A. E. Zelenaya, V. I. Lutsyk, and M. V. Lamueva. "Spatial Computer Model of the UCl3–NaCl–MgCl2–PuCl3 Isobaric Phase Diagram." Russian Journal of Inorganic Chemistry 68, no. 11 (2023): 1622–31. http://dx.doi.org/10.1134/s0036023623602039.

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45

Rahman, Zain-Aldeen S. A., Basil H. Jasim, Yasir I. A. Al-Yasir, and Raed A. Abd-Alhameed. "High-Security Image Encryption Based on a Novel Simple Fractional-Order Memristive Chaotic System with a Single Unstable Equilibrium Point." Electronics 10, no. 24 (2021): 3130. http://dx.doi.org/10.3390/electronics10243130.

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Fractional-order chaotic systems have more complex dynamics than integer-order chaotic systems. Thus, investigating fractional chaotic systems for the creation of image cryptosystems has been popular recently. In this article, a fractional-order memristor has been developed, tested, numerically analyzed, electronically realized, and digitally implemented. Consequently, a novel simple three-dimensional (3D) fractional-order memristive chaotic system with a single unstable equilibrium point is proposed based on this memristor. This fractional-order memristor is connected in parallel with a paral
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46

Moskvin A. S., Panov Yu. D., and Ulitko V.A. "Computer simulation of nanoscopic phase-inhomogeneous states and phase diagrams of HTSC cuprates and nickelates." Physics of the Solid State 64, no. 9 (2022): 1182. http://dx.doi.org/10.21883/pss.2022.09.54148.09hh.

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More than 35 years of experience in the study of cuprate superconductors shows that the main characteristics of the phase diagram can only be obtained by taking into account mesoscopic static/dynamic phase inhomogeneity as a key property of these materials. Within a minimal model for the CuO2/NiO2 planes with the on-site Hilbert space reduced to only three effective valence centers [CuO4]7-,6-,5- (nominally Cu1+,2+,3+) with different conventional spin and different orbital symmetry we propose a unified non-BCS model that allows one to describe the main features of the phase diagrams of doped c
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47

Chi, Zimeng, Xiaoyong Guo, Zaijun Wang, and Qiang Zheng. "Topological phase transitions of three-dimensional topological insulator without energy gap closing." International Journal of Modern Physics B 29, no. 28 (2015): 1550199. http://dx.doi.org/10.1142/s0217979215501994.

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In this paper, we demonstrate an anomalous topological phase transition without closing of bulk energy gap. We find such an effect in a model of three-dimensional (3D) topological insulator (TI) subjected to the in-plane exchange field. The energy spectrum, spin spectrum and momentum-dependent spin Chern numbers are calculated. It is shown that our system realizes both the 3D TI phase and the integer quantum Hall (QH) phase. By varying the strength of exchange field, a series of topological phase transitions takes place and in the mean time the energy gap remains open. However, the spin spectr
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48

Sosnovsky, M. R., V. V. Sukhotin, and A. P. Baskov. "Computer model of a signal filtering device for a monitoring earth station." Spacecrafts & Technologies 7, no. 1 (2023): 75–84. http://dx.doi.org/10.26732/j.st.2023.1.09.

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Satellite communication systems have an advantage over other communication systems, as they have a large coverage of the territory. The Earth station can be located anywhere in this territory and can be either a legitimate user or a satellite pirate (an illegitimate user). The developers are faced with the task of determining the coordinates of an illegitimate user illegally occupying a frequency resource. The article proposes a block diagram of a signal filtering device, which is part of a device for determining the coordinates of an illegitimate user, a monitoring Earth station. The purpose,
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49

Lim, S. S., and P. L. Rossiter. "CVM model calculation of the AlMgAg phase diagram." Calphad 18, no. 2 (1994): 113–23. http://dx.doi.org/10.1016/0364-5916(94)90022-1.

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50

Costa, Pedro, and Renan Pereira. "Phase Diagram, Scalar-Pseudoscalar Meson Behavior and Restoration of Symmetries in (2 + 1) Polyakov-Nambu-Jona-Lasinio Model." Symmetry 11, no. 4 (2019): 507. http://dx.doi.org/10.3390/sym11040507.

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We explore the phase diagram and the modification of mesonic observables in a hot and dense medium using the (2 + 1) Polyakov-Nambu-Jona-Lasinio model. We present the phase diagram in the ( T , μ B ) -plane, with its isentropic trajectories, paying special attention to the chiral critical end point (CEP). Chiral and deconfinement transitions are examined. The modifications of mesonic observables in the medium are explored as a tool to analyze the effective restoration of chiral symmetry for different regions of the phase diagram. It is shown that the meson masses, namely that of the kaons, cha
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