2,958 research outputs found
On the internal modes in sine-Gordon chain
We address the issue of internal modes of a kink of a discrete sine-Gordon
equation. The main point of the present study is to elucidate how the
antisymmetric internal mode frequency dependence enters the quasicontinuum
spectrum of nonlocalized waves. We analyze the internal frequency dependencies
as functions of both the number of cites and discreteness parameter and explain
the origin of spectrum peculiarity which arises after the frequency dependence
of antisymmetric mode returns back to the continuous spectrum at some nonzero
value of the intersite coupling.Comment: 5 pages, 3 figure
Scattering of vortex pairs in 2D easy-plane ferromagnets
Vortex-antivortex pairs in 2D easy-plane ferromagnets have characteristics of
solitons in two dimensions. We investigate numerically and analytically the
dynamics of such vortex pairs. In particular we simulate numerically the
head-on collision of two pairs with different velocities for a wide range of
the total linear momentum of the system. If the momentum difference of the two
pairs is small, the vortices exchange partners, scatter at an angle depending
on this difference, and form two new identical pairs. If it is large, the pairs
pass through each other without losing their identity. We also study head-tail
collisions. Two identical pairs moving in the same direction are bound into a
moving quadrupole in which the two vortices as well as the two antivortices
rotate around each other. We study the scattering processes also analytically
in the frame of a collective variable theory, where the equations of motion for
a system of four vortices constitute an integrable system. The features of the
different collision scenarios are fully reproduced by the theory. We finally
compare some aspects of the present soliton scattering with the corresponding
situation in one dimension.Comment: 13 pages (RevTeX), 8 figure
Group analysis and renormgroup symmetries
An original regular approach to constructing special type symmetries for
boundary value problems, namely renormgroup symmetries, is presented. Different
methods of calculating these symmetries, based on modern group analysis are
described. Application of the approach to boundary value problems is
demonstrated with the help of a simple mathematical model.Comment: 17 pages, RevTeX LATeX file, to appear in Journal of Mathematical
Physic
Aharonov-Casher effect in a two dimensional hole gas with spin-orbit interaction
We study the quantum interference effects induced by the Aharonov-Casher
phase in a ring structure in a two-dimensional heavy hole (HH) system with
spin-orbit interaction realizable in narrow asymmetric quantum wells. The
influence of the spin-orbit interaction strength on the transport is
investigated analytically. These analytical results allow us to explain the
interference effects as a signature of the Aharonov-Casher Berry phases. Unlike
previous studies on the electron two-dimensional Rashba systems, we find that
the frequency of conductance modulations as a function of the spin-orbit
strength is not constant but increases for larger spin-orbit splittings. In the
limit of thin channel rings (width smaller than Fermi wavelength), we find that
the spin-orbit splitting can be greatly increased due to quantization in the
radial direction. We also study the influence of magnetic field considering
both limits of small and large Zeeman splittings.Comment: 6 pages, 4 figure
Analysis of thermotechnical characteristics of ribbed economizers of steam boilers
It is ascertained that the maximal values of total and unit mass heat-generation with the allocated developed surface of steam boiler economizer are not provided, unlike heat interchange by free convection of ribbed pipes, in a range of really used quantity of ribs, their thicknesses and blow speeds by combustion gases
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