427 research outputs found
Modulational instability in nonlocal Kerr-type media with random parameters
Modulational instability of continuous waves in nonlocal focusing and
defocusing Kerr media with stochastically varying diffraction (dispersion) and
nonlinearity coefficients is studied both analytically and numerically. It is
shown that nonlocality with the sign-definite Fourier images of the medium
response functions suppresses considerably the growth rate peak and bandwidth
of instability caused by stochasticity. Contrary, nonlocality can enhance
modulational instability growth for a response function with negative-sign
bands.Comment: 6 pages, 12 figures, revTeX, to appear in Phys. Rev.
The Australia Telescope campaign to study southern class I methanol masers
The Australia Telescope Compact Array (ATCA) and the Mopra facility have been
used to search for new southern class I methanol masers at 9.9, 25 (J=5) and
104 GHz, which are thought to trace more energetic conditions in the interface
regions of molecular outflows, than the widespread class I masers at 44 and 95
GHz. One source shows a clear outflow association.Comment: 2 pages, 1 figure (composed from 3 files), to appear in proceedings
of IAU Symposium 242 "Astrophysical masers and their environment" (eds. J.
Chapman and W. Baan
Marangoni instability in oblate droplets suspended on a circular frame
We study theoretically internal flows in a small oblate droplet suspended on
the circular frame. Marangoni convection arises due to a vertical temperature
gradient across the drop and is driven by the surface tension variations at the
free drop interface. Using the analytical basis for the solutions of Stokes
equation in coordinates of oblate spheroid we have derived the linearly
independent stationary solutions for Marangoni convection in terms of Stokes
stream functions. The numerical simulations of the thermocapillary motion in
the drops are used to study the onset of the stationary regime. Both analytical
and numerical calculations predict the axially-symmetric circulatory convection
motion in the drop, the dynamics of which is determined by the magnitude of the
temperature gradient across the drop. The analytical solutions for the critical
temperature distribution and velocity fields are obtained for the large
temperature gradients across the oblate drop. These solutions reveal the
lateral separation of the critical and stationary motions within the drops. The
critical vortices are localized near the central part of a drop, while the
intensive stationary flow is located closer to its butt end. A crossover to the
limit of the plane film is studied within the formalism of the stream functions
by reducing the droplet ellipticity ratio to zero value. The initial stationary
regime for the strongly oblate drops becomes unstable relative to the
many-vortex perturbations in analogy with the plane fluid films with free
boundaries
Langmuir wave linear evolution in inhomogeneous nonstationary anisotropic plasma
Equations describing the linear evolution of a non-dissipative Langmuir wave
in inhomogeneous nonstationary anisotropic plasma without magnetic field are
derived in the geometrical optics approximation. A continuity equation is
obtained for the wave action density, and the conditions for the action
conservation are formulated. In homogeneous plasma, the wave field E
universally scales with the electron density N as E ~ N^{3/4}, whereas the
wavevector evolution varies depending on the wave geometry
Circulating Marangoni flows within droplets in smectic films
We present theoretical study and numerical simulation of Marangoni convection
within ellipsoidal isotropic droplets embedded in free standing smectic films
(FSSF). The thermocapillary flows are analyzed for both isotropic droplets
spontaneously formed in FSSF overheated above the bulk smectic-isotropic
transition, and oil lenses deposited on the surface of the smectic film. The
realistic model, for which the upper drop interface is free from the smectic
layers, while at the lower drop surface the smectic layering still persists is
considered in detail. For isotropic droplets and oil lenses this leads
effectively to a sticking of fluid motion at the border with a smectic shell.
The above mentioned asymmetric configuration is realized experimentally when
the temperature of the upper side of the film is higher than at the lower one.
The full set of stationary solutions for Stokes stream functions describing the
Marangoni convection flows within the ellipsoidal drops were derived
analytically. The temperature distribution in the ellipsoidal drop and the
surrounding air was determined in the frames of the perturbation theory. As a
result the analytical solutions for the stationary thermocapillary convection
were derived for different droplet ellipticity ratios and the heat conductivity
of the liquid crystal and air. In parallel, the numerical hydrodynamic
calculations of the thermocapillary motion in the drops were performed. Both
the analytical and numerical simulations predict the axially-symmetric
circulatory convection motion determined by the Marangoni effect at the droplet
free surface. Due to a curvature of the drop interface a temperature gradient
along its free surface always persists. Thus, the thermocapillary convection
within the ellipsoidal droplets in overheated FSSF is possible for the
arbitrarily small Marangoni numbers
The 6.7-GHz and 25-GHz methanol masers in OMC-1
The Australia Telescope Compact Array (ATCA) has been used to search for
methanol maser emission at 6.7 GHz towards OMC-1. Two features peaking at 7.2
km/s and -1.1 km/s have been detected. The former has at least two components
close in both velocity and position. It is located south-east of the Orion
Kleinmann-Low (Orion-KL) nebula in the region of outflow traced by the 25-GHz
methanol masers and the 95-GHz methanol emission. It is shown by modelling that
in contrast to the widespread opinion that simultaneous masing of methanol
transitions of different classes is impossible there are conditions for which
simultaneous masing of the class II transition at 6.7-GHz and some class I
transitions (e.g. the series at 25 GHz) is possible. A relevant example is
provided, in which the pumping occurs via the first torsionally excited state
and is driven by radiation of the dust intermixed with the gas in the cloud. In
this regime the dust temperature is significantly lower (T is about 60 K) than
in the case of bright 6.7-GHz masers (T>150 K). The narrow spectral feature at
-1.1 km/s has a brightness temperature greater than about 1400 K, which
suggests that it is probably a maser. It emanates from the Orion South region
and is probably associated with the approaching part of outflow seen in CO. The
25-GHz maser associated with OMC-1 was observed quasi-simultaneously with the
6.7-GHz observations. No 25-GHz emission associated with the -1.1 km/s 6.7 GHz
feature towards Orion South was detected.Comment: 11 pages, 5 figures, 4 tables, mn2e.cls included; accepted by MNRA
Modulational instability and nonlocality management in coupled NLS system
The modulational instability of two interacting waves in a nonlocal Kerr-type
medium is considered analytically and numerically. For a generic choice of wave
amplitudes, we give a complete description of stable/unstable regimes for zero
group-velocity mismatch. It is shown that nonlocality suppresses considerably
the growth rate and bandwidth of instability. For nonzero group-velocity
mismatch we perform a geometrical analysis of a nonlocality management which
can provide stability of waves otherwise unstable in a local medium.Comment: 15 pages, 12 figures, to be published in Physica Script
Instability and stability properties of traveling waves for the double dispersion equation
In this article we are concerned with the instability and stability
properties of traveling wave solutions of the double dispersion equation
for ,
. The main characteristic of this equation is the existence of two
sources of dispersion, characterized by the terms and . We
obtain an explicit condition in terms of , and on wave velocities
ensuring that traveling wave solutions of the double dispersion equation are
strongly unstable by blow up. In the special case of the Boussinesq equation
(), our condition reduces to the one given in the literature. For the
double dispersion equation, we also investigate orbital stability of traveling
waves by considering the convexity of a scalar function. We provide both
analytical and numerical results on the variation of the stability region of
wave velocities with , and and then state explicitly the conditions
under which the traveling waves are orbitally stable.Comment: 16 pages, 4 figure
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