arXiv subjects

E. A. Levchenko

Publications and source records attributed to E. A. Levchenko.

2 recordsLinked to original sources

arXiv2015

Branching of the vortex nucleation period in superconductor Nb microtubes due to inhomogeneous transport current

An inhomogeneous transport current, which is introduced through multiple electrodes in an open Nb microtube, is shown to lead to a controllable branching of the vortex nucleation period. The detailed mechanism of this branching is analyzed using the time-dependent Ginzburg-Landau equation. The relative change of the vortex nucleation period strongly depends on the geometry of multiple electrodes. The average number of vortices occurring in the tube in a nanosecond can be effectively reduced owing to the inhomogeneous transport current, what is important for noise and energy dissipation reduction in superconductor applications, e.g., for an extension of the operation regime of superconductor-based sensors to lower frequencies.

cond-mat.supr-con↗

arXiv2013

Pattern formation in terms of semiclassically limited distribution on lower-dimensional manifolds for nonlocal Fisher--Kolmogorov--Petrovskii--Piskunov equation

We have investigated the pattern formation in systems described by the nonlocal Fisher--Kolmogorov--Petrovskii--Piskunov equation for the cases where the dimension of the pattern concentration area is less than that of independent variables space. We have obtained a system of integro-differential equations which describe the dynamics of the concentration area and the semiclassically limited distribution of a pattern in the class of trajectory concentrated functions. Also, asymptotic large-time solutions have been obtained that describe the semiclassically limited distribution of a quasi-steady-state pattern on the concentration manifold. The approach is illustrated by an example for which the analytical solution is in good agreement with the prediction of a numerical simulation.

math-ph↗