2,054 research outputs found
Example of shock wave in unstaible medium: The focusing nonlinear Schrodinger equation
Dissipationless shock waves in modulational unstable one-dimensional medium
are investigated on the simplest example of integrable focusing nonlinear
Schr\''odinger (NS) equation. Our approach is based on the construction of
special exact solution of the Whitham-NS system, which ''partially saturates''
the modulational instability.Comment: 4 pages, LaTEX, version 2.09, submitted to Phys. Lett.
Evolution of initial discontinuities in the Riemann problem for the Kaup-Boussinesq equation with positive dispersion
We consider the space-time evolution of initial discontinuities of depth and
flow velocity for an integrable version of the shallow water Boussinesq system
introduced by Kaup. We focus on a specific version of this "Kaup-Boussinesq
model" for which a flat water surface is modulationally stable, we speak below
of "positive dispersion" model. This model also appears as an approximation to
the equations governing the dynamics of polarisation waves in two-component
Bose-Einstein condensates. We describe its periodic solutions and the
corresponding Whitham modulation equations. The self-similar, one-phase wave
structures are composed of different building blocks which are studied in
detail. This makes it possible to establish a classification of all the
possible wave configurations evolving from initial discontinuities. The
analytic results are confirmed by numerical simulations
Mass Transfer Mechanism in Real Crystals by Pulsed Laser Irradiation
The dynamic processes in the surface layers of metals subjected activity of a
pulsing laser irradiation, which destroyed not the crystalline structure in
details surveyed. The procedure of calculation of a dislocation density
generated in bulk of metal during the relaxation processes and at repeated
pulse laser action is presented. The results of evaluations coincide with high
accuracy with transmission electron microscopy dates. The
dislocation-interstitial mechanism of laser-stimulated mass-transfer in real
crystals is presented on the basis of the ideas of the interaction of structure
defects in dynamically deforming medium. The good compliance of theoretical and
experimental results approves a defining role of the presented mechanism of
mass transfer at pulse laser action on metals. The possible implementation this
dislocation-interstitial mechanism of mass transfer in metals to other cases of
pulsing influences is justifiedComment: 10 pages, 2 figures, Late
Propagation of sound in a Bose Einstein condensate in an optical lattice
We study the propagation of sound waves in a Bose-Einstein condensate trapped
in a one-dimensional optical lattice. We find that the velocity of propagation
of sound wavepackets decreases with increasing optical lattice depth, as
predicted by the Bogoliubov theory. The strong interplay between nonlinearities
and the periodicity of the external potential raise new phenomena which are not
present in the uniform case. Shock waves, for instance, can propagate slower
than sound waves, due to the negative curvature of the dispersion relation.
Moreover, nonlinear corrections to the Bogoliubov theory appear to be important
even with very small density perturbations, inducing a saturation on the
amplitude of the sound signal
Flux flow of Abrikosov-Josephson vortices along grain boundaries in high-temperature superconductors
We show that low-angle grain boundaries (GB) in high-temperature
superconductors exhibit intermediate Abrikosov vortices with Josephson cores,
whose length along GB is smaller that the London penetration depth, but
larger than the coherence length. We found an exact solution for a periodic
vortex structure moving along GB in a magnetic field and calculated the
flux flow resistivity , and the nonlinear voltage-current
characteristics. The predicted dependence describes well our
experimental data on unirradiated and irradiated
bicrystals, from which the core size , and the intrinsic depairing
density on nanoscales of few GB dislocations were measured for the
first time. The observed temperature dependence of
indicates a significant order parameter suppression in current channels between
GB dislocation cores.Comment: 5 pages 5 figures. Phys. Rev. Lett. (accepted
Multiple hydrodynamical shocks induced by Raman effect in photonic crystal fibres
We theoretically predict the occurrence of multiple hydrodynamical-like shock
phenomena in the propagation of ultrashort intense pulses in a suitably
engineered photonic crystal fiber. The shocks are due to the Raman effect,
which acts as a nonlocal term favoring their generation in the focusing regime.
It is shown that the problem is mapped to shock formation in the presence of a
slope and a gravity-like potential. The signature of multiple shocks in XFROG
signals is unveiled
Electron and Phonon Thermal Waves in Semiconductors: an Application to Photothermal Effects
The electron and phonon temperature distribution function are calculated in
semiconductors. We solved the coupled one-dimensional heat-diffussion equations
in the linear approximation in which the physical parameters on the sample are
independent of the temperature. We also consider the heat flux at the surface
of the semiconductor as a boundary condition for each electron and phonon
systems instead of using a fixed temperature. From this, we obtain an
expression for electron and phonon temperature respectively. The
characterization of the thermal waves properties is duscussed and some
practical procedures for this purpose provide us information about the electron
and phonon thermal parameters.Comment: 12 pages, amstex and amssymb macro package (LaTeX2e edition
Electron and Phonon Temperature Relaxation in Semiconductors Excited by Thermal Pulse
Electron and phonon transient temperatures are analyzed in the case of
nondegenerate semiconductors. An analytical solution is obtained for
rectangular laser pulse absorption. It is shown that thermal diffusion is the
main energy relaxation mechanism in the phonon subsystem. The mechanism depends
on the correlation between the sample length and the electron cooling length in
an electron subsystem. Energy relaxation occurs by means of the electron
thermal diffusion in thin samples (), and by means of the electron-phonon
energy interaction in thick samples (). Characteristic relaxation times are
obtained for all the cases, and analysis of these times is made. Electron and
phonon temperature distributions in short and long samples are qualitatively
and quantitatively analyzed for different correlations between the laser pulse
duration and characteristic times.Comment: 33 pages, 16 figure
Microwave whirlpools in a rectangular-waveguide cavity with a thin ferrite disk
We study a three dimensional system of a rectangular-waveguide resonator with
an inserted thin ferrite disk. The interplay of reflection and transmission at
the disk interfaces together with material gyrotropy effect, gives rise to a
rich variety of wave phenomena. We analyze the wave propagation based on full
Maxwell-equation numerical solutions of the problem. We show that the
power-flow lines of the microwave-cavity field interacting with a ferrite disk,
in the proximity of its ferromagnetic resonance, form whirlpool-like
electromagnetic vortices. Such vortices are characterized by the dynamical
symmetry breaking. The role of ohmic losses in waveguide walls and dielectric
and magnetic losses in a disk is a subject of our investigations
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