Перегляд за Автор "Kulinskyi, Volodymyr L."

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  • Ескіз
    Документ
    Point-like Rashba interactions as singular self-adjoint extensions of the Schrödinger operator in one dimension
    (2019) Kulinskyi, Volodymyr L.; Panchenko, Dmitry Yu.; Кулінський, Володимир Леонідович
    We consider singular self-adjoint extensions for the Schrödinger operator of spin-1/2 particle in one dimension. The corresponding boundary conditions at a singular point are obtained. There are boundary conditions with the spin-flip mechanism, i.e., for these point-like interactions the spin operator does not commute with the Hamiltonian. One of these extensions is the analog of zero-range δ-potential. The other one is the analog of so called δ(1)-interaction. We show that in physical terms such contact interactions can be identified as the point-like analogs of Rashba Hamiltonian (spin-momentum coupling) due to material heterogeneity of different types. The dependence of the transmission coefficient of some simple devices on the strength of the Rashba coupling parameter is discussed. Additionally, we show how these boundary conditions can be obtained from the Dirac Hamiltonian in the non-relativistic limit.
  • Ескіз
    Документ
    Surface tension of molecular liquids: lattice gas approach
    (2016) Maslechko, Anastasiia M.; Glavatskiy, K.; Kulinskyi, Volodymyr L.; Маслечко, Анастасія Миколаївна; Кулінський, Володимир Леонідович
    The approach of global isomorphism between the fluid and the Ising model is applied to obtain an expression for the surface tension of the Lennard-Jones fluid on the basis of the information about the Ising model. This is done in a broad interval of temperatures along the phase coexistence, and is valid both in a 2D and a 3D. The relation between the critical amplitudes of the surface tension of the fluid and the Ising model is derived in the vicinity of the critical point. The obtained theoretical estimates agree well with the literature results for the surface tension. The methodology is demonstrated for the 2D LJ fluid on the basis of the exact solution of the 2D Ising model and is tested for the 3D LJ fluid. As a result, an expression for the surface tension without any fitting parameter is derived.
  • Ескіз
    Документ
    Surface tension of the liquid-vapor interface of the Lennard-Jones fluids from the Ising model
    (American Chemical Society, 2016-04-06) Kulinskyi, Volodymyr L.; Maslechko, Anastasiia M.; Кулінський, Володимир Леонідович; Маслечко, Анастасія Миколаївна
    The surface tension of the Lennard-Jones fluids is described on the basis of the information about Ising model. We use the global isomorphism approach developed earlier for the bulk properties. It is shown that in broad interval of phase coexistence from triple point Ttr to 0.9 Tc the surface tension for Lennard-Jones fluids like noble gases can be reproduced on the basis of the information on the Ising model with mean deviation less than 3% (except for neon). In a 2D case, we use the Onsager exact solution of the Ising model. We suggest the surface tension expression using the result of Woodbury (J. Chem. Phys. 1972, 57, 847). This expression has correct critical scaling behavior and can be used in the whole temperature region from triple point to critical one. The effective interfacial thickness is introduced on the basis of the Ornstein−Zernike equation and is related to the correlation length of the Ising model.
  • Ескіз недоступний
    Документ
    Комп'ютерне моделювання фізичних процесів у середовищі WolframMathematica (інтерактивний навчальний посібник)
    (2016) Кулінський, Володимир Леонідович; Кулинский, Владимир Леонидович; Kulinskyi, Volodymyr L.
    Посібник містить інтерактивні ноутбуки та шаблони для виконання завданнь по курсу. Посібник призначено для студентів першого курсу магістратури ОНУ імені І.І. Мечникова спеціальності «Фізика та астрономія». Публікується за рішенням КТФА ОНУ імені І.І. Мечникова, протокол № 5 від 1 грудня 2016 року.