• 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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  • Convexity properties for some general integral operatorsConvexity properties for some general integral operators

    Abstract. For analitic functions f and g in the open unit disk U. In this paper we consider the classes N(β), K(β) and two integral operarors functions fn(f, g) and Jn(f, g), where g is a functions that the belongs to the family B(µ, β). The main object of this paper is to obtain some properties in this class and and the order of convexity for t...

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  • On the number of determining finite volume elements for 3D Navier-Stokes-Voigt equationsOn the number of determining finite volume elements for 3D Navier-Stokes-Voigt equations

    Abstract. We give an upper bound on the number of determining finite volume elements for 3D Navier-Stokes-Voigt equations in bounded domains with periodic boundary conditions, which is estimated explicitly in terms of flow parameters, such as viscosity, smoothing length, forcing and domain size. Keywords: Navier-Stokes-Voigt equations, weak sol...

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  • Singularities of parametric surfaces of bidegree (1, 2) in the particular casesSingularities of parametric surfaces of bidegree (1, 2) in the particular cases

    Abstract. Parametric surfaces of bidegree (1,2) is described by at most two parameters, called moduli, by a change of coordinates. Its singular locus is generically a twisted cubic curve. In this article, we study all the particular cases and give normal forms of the parameterizations for each case. We give also the implicit equation and describ...

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  • A simple unity theory for three types of polaritons (Phonon polariton, exciton polariton and plasmon polariton) expanded model for surface polaritonsA simple unity theory for three types of polaritons (Phonon polariton, exciton polariton and plasmon polariton) expanded model for surface polaritons

    Abstract. In our previous work which studied the theory of three types of polaritons, we proposed a new simple unity theory for three types of bulk polaritons (phonon polariton, exciton polariton and plasmon polariton). In this work, this theory is expanded for these three types of surface polaritons. We introduce an effective LT-splitting for s...

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  • Nvestigation of thermodynamic and mechanical properties of AlyGa1-YAs/GaAs systems by statistical moment methodNvestigation of thermodynamic and mechanical properties of AlyGa1-YAs/GaAs systems by statistical moment method

    Abstract. In this paper, the moment method in statistical dynamics (SMM) is used to study the thermodynamic quantities of AlyGa1-yAs/GaAs systems taking into account the anharmonicity effects of lattice vibrations. The nearest neighbor distance, lattice parameter, isothermal bulk modulus, specific heats at the constant volume and pressure of Aly...

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