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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...

    pdf14 trang | Chia sẻ: thanhle95 | Ngày: 14/07/2021 | Lượt xem: 481 | Lượt tải: 0

  • 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...

    pdf7 trang | Chia sẻ: thanhle95 | Ngày: 14/07/2021 | Lượt xem: 599 | Lượt tải: 0

  • 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...

    pdf8 trang | Chia sẻ: thanhle95 | Ngày: 14/07/2021 | Lượt xem: 560 | Lượt tải: 0

  • Thermodynamic properties of binary interstitial alloy with fcc structure: Dependence on temperature and concentration of interstitial atomsThermodynamic properties of binary interstitial alloy with fcc structure: Dependence on temperature and concentration of interstitial atoms

    Abstract. The analytic expressions of the thermodynamic quantities such as the mean nearest neighbor distance, free energy, isothermal and adiabatic compressibilities, the isothermal and adiabatic elastic modulus, the thermal expansion coefficient, heat capacities at constant volume and at constant pressure, and the entropy of binary interstitia...

    pdf10 trang | Chia sẻ: thanhle95 | Ngày: 14/07/2021 | Lượt xem: 514 | Lượt tải: 0

  • Study on the melting of substitutional alloy ab with interstitial atom C and FCC structure under pressureStudy on the melting of substitutional alloy ab with interstitial atom C and FCC structure under pressure

    Abstract. From the model of substitutional alloy AB with interstitial atom C and FCC structure and the condition of absolute stability for crystalline state we derive analytic expressions for the temperature of absolute stability for the crystalline state and the melting temperature together with the equation of the melting curve of this alloy b...

    pdf13 trang | Chia sẻ: thanhle95 | Ngày: 14/07/2021 | Lượt xem: 493 | Lượt tải: 0

  • Phase transition in Z2 × Z2 model based on the CJT formalismPhase transition in Z2 × Z2 model based on the CJT formalism

    1. Introduction At present it is well known that all physical systems can be classified into several categories: - The first corresponds to those, in which the symmetry broken at T = 0 is restored at high temperature [1, 2]. Here high temperature means that T/M >> 1 for mass scale M of the system. In addition, there is another alternative pheno...

    pdf11 trang | Chia sẻ: thanhle95 | Ngày: 14/07/2021 | Lượt xem: 504 | Lượt tải: 0

  • A quantum phase transition in the Bose-Einstein condensatesA quantum phase transition in the Bose-Einstein condensates

    Abstract. Quantum phase transition and dynamical stability in Bose-Einstein condensates (BECs) are studied within the framework of the Cornwall-Jackiw-Tomboulis (CJT) effective action approach. The effective potential is found in the double-bubble diagram approximation. Numerical results show that in this approximation stability is strongly inf...

    pdf8 trang | Chia sẻ: thanhle95 | Ngày: 14/07/2021 | Lượt xem: 572 | Lượt tải: 0

  • Algebraic dependences of meromorphic mappings sharing moving hyperplanes without counting multiplicitiesAlgebraic dependences of meromorphic mappings sharing moving hyperplanes without counting multiplicities

    The above results are the best results on the algebraic dependences of meromorphic mappings sharing moving hyperplanes available at the present. Actually, there are many authors consider the multiple values for meromorphic mappings sharing hyperplanes, i.e., consider only the intersecting points of the mappings fi and the hyperplanes aj with the...

    pdf9 trang | Chia sẻ: thanhle95 | Ngày: 14/07/2021 | Lượt xem: 556 | Lượt tải: 0

  • Regularity of ideals associated with a complete graph in two weights (2,1)Regularity of ideals associated with a complete graph in two weights (2,1)

    Theorem 3.1. With the above notations, then we have the following assertions (1) If G is the empty set, then a2(R/I) = 0. (2) If G is a union of disjoint edges, then a2(R/I) = 1. (3) If G does not contain any triangles and G has at least two distinct edges which have a common vertex, then a2(R/I) = 2. (4) If G contains at least a triangle, the...

    pdf6 trang | Chia sẻ: thanhle95 | Ngày: 14/07/2021 | Lượt xem: 459 | Lượt tải: 0

  • Some runge-kutta algorithms with error control and variable stepsizes for solving a class of differentialalgebraic equationsSome runge-kutta algorithms with error control and variable stepsizes for solving a class of differentialalgebraic equations

    Abstract: In this paper, we propose and discuss numerical algorithms for solving a class of nonlinear differential-algebraic equations (DAEs). These algorithms are based on half-explicit Runge-Kutta methods (HERK) that have been studied recently for solving strangeness-free DAEs. The main idea of this work is to use the half-explicit variants of...

    pdf16 trang | Chia sẻ: thanhle95 | Ngày: 14/07/2021 | Lượt xem: 566 | Lượt tải: 0

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