• 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: 326 | 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...

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  • 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...

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  • 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...

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  • 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...

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  • 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...

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  • 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...

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  • A comparison theorem for stability of linear stochastic implicit difference equations of Index-1A comparison theorem for stability of linear stochastic implicit difference equations of Index-1

    LSIDEs is generalization of linear stochastic difference equations, which have been well investigated in the literature, see [1-4]. They arise as mathematical models in various fields such as population dynamics, economics, electronic circuit systems or multibody mechanism systems with random noise (see, e.g. [5-8]. They can also be obtained fro...

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  • The effect of residual la on crystal structure and magnetic properties of La1+Fe11.05Si1.95 compoundsThe effect of residual la on crystal structure and magnetic properties of La1+Fe11.05Si1.95 compounds

    Abstract: In this paper, we present the results of the study of the effect of residual La on crystal structure, magnetic properties of La1+Fe11.05Si1.95 ( = 0.00; 0.03; 0.06 and 0.09) compounds. The analysis of X-ray diffractions showed that when the La content increases to 9%, the structure still remains cubic in a typical NaZn13 arrangement ...

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  • ℋ∞ Finite-time boundedness for discrete-time delay neural networks via reciprocally convex approachℋ∞ Finite-time boundedness for discrete-time delay neural networks via reciprocally convex approach

    Abstract: This paper addresses the problem of ℋ∞ finite-time boundedness for discrete-time neural networks with interval-like time-varying delays. First, a delay-dependent finite-time boundedness criterion under the finite-time ℋ ∞ performance index for the system is given based on constructing a set of adjusted Lyapunov–Krasovskii functionals ...

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