Результаты поиска по 'Metropolis algorithm':
Найдено статей: 2
  1. Nikonov E.G., Nazmitdinov R.G., Glukhovtsev P.I.
    Molecular dynamics studies of equilibrium configurations of equally charged particles in planar systems with circular symmetry
    Computer Research and Modeling, 2022, v. 14, no. 3, pp. 609-618

    The equilibrium configurations of charged electrons, confined in the hard disk potential, are analysed by means of the hybrid numerical algorithm. The algorithm is based on the interpolation formulas, that are obtained from the analysis of the equilibrium configurations, provided by the variational principle developed in the circular model. The solution of the nonlinear equations of the circular model yields the formation of the shell structure which is composed of the series of rings. Each ring contains a certain number of particles, which decreases as one moves from the boundary ring to the central one. The number of rings depends on the total number of electrons. The interpolation formulas provide the initial configurations for the molecular dynamics calculations. This approach makes it possible to significantly increase the speed at which an equilibrium configuration is reached for an arbitrarily chosen number of particles compared to the Metropolis annealing simulation algorithm and other algorithms based on global optimization methods.

    Keywords: Tomson atom, Wigner crystal, molecular dynamics.
  2. Vasiliev E.V., Perzhu A.V., Korol A.O., Kapitan D.Y., Rubin A.E., Soldatov K.S., Kapitan V.U.
    Numerical simulation of two-dimensional magnetic skyrmion structures
    Computer Research and Modeling, 2020, v. 12, no. 5, pp. 1051-1061

    Magnetic systems, in which due to competition between the direct Heisenberg exchange and the Dzyaloshinskii –Moriya interaction, magnetic vortex structures — skyrmions appear, were studied using the Metropolis algorithm.

    The conditions for the nucleation and stable existence of magnetic skyrmions in two-dimensional magnetic films in the frame of the classical Heisenberg model were considered in the article. A thermal stability of skyrmions in a magnetic film was studied. The processes of the formation of various states in the system at different values of external magnetic fields were considered, various phases into which the Heisenberg spin system passes were recognized. The authors identified seven phases: paramagnetic, spiral, labyrinth, spiralskyrmion, skyrmion, skyrmion-ferromagnetic and ferromagnetic phases, a detailed analysis of the configurations is given in the article.

    Two phase diagrams were plotted: the first diagram shows the behavior of the system at a constant $D$ depending on the values of the external magnetic field and temperature $(T, B)$, the second one shows the change of the system configurations at a constant temperature $T$ depending on the magnitude of the Dzyaloshinskii – Moriya interaction and external magnetic field: $(D, B)$.

    The data from these numerical experiments will be used in further studies to determine the model parameters of the system for the formation of a stable skyrmion state and to develop methods for controlling skyrmions in a magnetic film.

    Keywords: magnetic skyrmion, Heisenberg model, Metropolis algorithm, phase diagram, high performance computing.

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