• Fibers of rational maps and rees algebras of their base idealsFibers of rational maps and rees algebras of their base ideals

    Besides the computation of implicit representations of parameterizations, in geometric modeling it is of vital importance to have a detailed knowledge of the geometry of the object and of the parametric representation one is working with. The question of how many times is the same point being painted (i.e., corresponds to distinct values of ...

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  • Structural characteritics of iron oxide nanoparticles synthesized by co-precipitation method in different conditionsStructural characteritics of iron oxide nanoparticles synthesized by co-precipitation method in different conditions

    Abstract. This study aimed to investigate the structural characteristics of iron oxide nanoparticles (IONPs) prepared in different conditions. IONPs were synthesized as aqueous magnetic fluids by co-precipitation of ferrous and ferric salts, then analyzed by transmission electron microscopy (TEM), X-ray diffraction (XRD), and Raman scattering sp...

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  • A study of the (ZrO2)n (n = 1 ÷ 11) clusters by density functional theoryA study of the (ZrO2)n (n = 1 ÷ 11) clusters by density functional theory

    Abstract. To reveal the origin of the (ZrO2)n (n = 1 ÷ 11) cluster stability and to study the structural trends in the zirconium oxide neutral cluster distribution, (ZrO2)n clusters have been constructed and calculated employing Density Functional Theory (DFT). In this work, we calculate the formation energy, electronic structures, stabilities a...

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  • Phase diagram of colloidal systems: A comparison of standard monte carlo simulations and virtual-Move monte carlo simulationsPhase diagram of colloidal systems: A comparison of standard monte carlo simulations and virtual-Move monte carlo simulations

    Abstract. In this work, we investigate the phase diagram of a three-dimensional Lennard-Jones (LJ) and square-well (SQW) system by means of both standard Monte Carlo simulation (SPMC) and “virtual-move” Monte Carlo simulations (VMMC). We find that the phase diagrams obtained by both SPMC and VMMC are very similar. However, there exist a few sig...

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  • Elastic deformation of alloy AuSi with FCC structure under pressureElastic deformation of alloy AuSi with FCC structure under pressure

    1. Introduction There are many theoretical and experimental works on thermodynamic and elastic properties of metals and interstitial alloys [1-27], for examples the theory of interstitial alloys [1, 2], the calculations from first principles, the many-body potentials, the molecular dynamics for defects in metals, alloys and solid solutions [3-5], t...

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  • Study on nonlinear deformation of binary interstitial alloy AB with BCC structure under pressureStudy on nonlinear deformation of binary interstitial alloy AB with BCC structure under pressure

    1. Introduction When the object is deformed, its properties change, especially its mechanical properties. There are two types of deformation: elastic deformation and nonlinear deformation. When the load is too large, the object will be deformed nonlinearly and the material itself will have a residual deformation. Nonlinear deformation causes ma...

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  • Optimality conditions for non-Lipschitz vector problems with inclusion constraintsOptimality conditions for non-Lipschitz vector problems with inclusion constraints

    Abstract. We use the concept of approximation introduced by D.T. Luc et al. [1] as a generalized derivative for non-Lipschitz vector functions to consider vector problems with non-Lipschitz data under inclusion constraints. Some calculus of approximations are presented. A necessary optimality condition, a type of KKT condition, for local efficie...

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  • Self-assembly of hard sphere droplet-colloid mixture into quasicrystalSelf-assembly of hard sphere droplet-colloid mixture into quasicrystal

    Abstract. In this work, we investigate the phase diagram of a single-component system of colloidal particles and a binary mixture of hard-core droplets and colloids using means of molecular dynamics. For the former case, we found a variety of different crystal phases, in a good agreement with these observed in the simulation work (Engel et al, N...

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  • Casimir force on a single interacting Bose-Einstein condensate in the double-parabola approximationCasimir force on a single interacting Bose-Einstein condensate in the double-parabola approximation

    1. Introduction Bose-Einstein condensate (BEC) has been attracting the attention of many researchers in both theory and experiment. The creation of BEC in the laboratory and recent results has created a great prospect for this promising field [1-4]. One of the basic problems for BEC researchers is to determine the state of the system. In the no...

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  • 5248_6_hoa2_1495 (1)_2326257_20210323_0516595248_6_hoa2_1495 (1)_2326257_20210323_051659

    Abstract. Based on the extended Nambu-Jona-Lasinio model with the scalar-vector eight-point interaction [11], we consider a question to understand of what ultimately happens to exact chiral nuclear matter as it is heated. In the realm of very high temperature the fundamental degrees of freedom of the strong interaction, quarks and gluons, come i...

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