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  1. No Access

    Article

    Modelling of Abrikosov Vortices in Three-Dimensional Nanostructures

    COMSOL was used for the modelling of Abrikosov vortices in three-dimensional micro- and nano-sized structures. When modelling, boundary conditions were introduced into the system using an auxiliary variable. T...

    I. A. Ushakov, E. A. Levchenko in Russian Physics Journal (2020)

  2. No Access

    Article

    Ab Initio Modeling of the Local Violation of a Peierls Transition at the Sb(111) Surface

    The crystal structure of the Sb(111) surface is studied within the density functional theory. It is shown that a defect near-surface region with a thickness of 6–8 atomic layers, which is similar to a topologi...

    S. I. Bozhko, A. S. Ksenz, A. M. Ionov, S. V. Chekmazov, E. A. Levchenko in JETP Letters (2018)

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    Article

    Symmetries of the One-Dimensional Fokker–Planck–Kolmogorov Equation with a Nonlocal Quadratic Nonlinearity

    The one-dimensional Fokker–Planck–Kolmogorov equation with a special type of nonlocal quadratic nonlinearity is represented as a consistent system of differential equations, including a dynamical system descri...

    E. A. Levchenko, A. Yu. Trifonov, A. V. Shapovalov in Russian Physics Journal (2017)

  4. No Access

    Article

    Asymptotics of the Multidimensional Nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov Equation Near a Quasistationary Solution

    Asymptotic solutions of the multidimensional nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation with an influence function that is invariant with respect to a spatial shift are constructed. The asymptotic...

    E. A. Levchenko, A. Yu. Trifonov, A. V. Shapovalov in Russian Physics Journal (2015)

  5. No Access

    Article

    Dynamics of the Abrikosov Vortices on Cylindrical Microtubes

    We consider the special features at nano- and microscales of the vortex dynamics on superconducting cylindrical Nb tubes produced by the roll-up (self-rolling) technique. A transport current enters the tube th...

    R. O. Rezaev, E. A. Levchenko, O. G. Schmidt, V. M. Fomin in Russian Physics Journal (2015)

  6. No Access

    Article

    Rotation dynamics of C60 molecules in a monolayer fullerene film on the WO2/W(110) surface near the rotational phase transition

    The rotation dynamics of C60 molecules in monolayer fullerene films grown on the WO2/W(110) surface is studied by scanning tunneling microscopy. The formation of molecule clusters, which have a high libron vibrat...

    S. I. Bozhko, E. A. Levchenko, V. N. Semenov… in Journal of Experimental and Theoretical Ph… (2015)

  7. No Access

    Article

    Symmetry Operators of the Nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov Equation with a Quadratic Operator

    A class of nonlinear symmetry operators has been constructed for the many-dimensional nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation quadratic in independent variables and derivatives. The constructio...

    E. A. Levchenko, A. Yu. Trifonov, A. V. Shapovalov in Russian Physics Journal (2014)

  8. No Access

    Article

    Estimate of Accuracy of Solution of the Nonlocal Fisher–Kolomogorov–Petrovskii–Piskunov Equation

    The discrepancy of semiclassical asymptotics for the one-dimensional nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation is investigated. It is shown that there exist values of the parameters of the system...

    E. A. Levchenko, A. Yu. Trifonov, A. V. Shapovalov in Russian Physics Journal (2013)