647 research outputs found
The effects of twisted magnetic field on coronal loops oscillations and dissipation
The standing MHD modes in a zero- cylindrical magnetic flux tube
modelled as a straight core surrounded by a magnetically twisted annulus, both
embedded in a straight ambient external field is considered. The dispersion
relation for the fast MHD waves is derived and solved numerically to obtain the
frequencies of both the kink (), and fluting () waves. Damping
rates due to both viscous and resistive dissipations in presence of the twisted
magnetic field is derived and solved numerically for both the kink and fluting
waves.Comment: 13 pages, 11 figure
Noise and Order in Cavity Quantum Electrodynamics
In this paper we investigate the various aspects of noise and order in the
micromaser system. In particular, we study the effect of adding fluctuations to
the atom cavity transit time or to the atom-photon frequency detuning. By
including such noise-producing mechanisms we study the probability and the
joint probability for excited atoms to leave the cavity. The influence of such
fluctuations on the phase structure of the micromaser as well as on the
long-time atom correlation length is also discussed. We also derive the
asymptotic form of micromaser observables.Comment: 31 pages and 8 figure
The effect of twisted magnetic field on the resonant absorption of MHD waves in coronal loops
The standing quasi modes in a cylindrical incompressible flux tube with
magnetic twist that undergoes a radial density structuring is considered in
ideal magnetohydrodynamics (MHD). The radial structuring is assumed to be a
linearly varying density profile. Using the relevant connection formulae, the
dispersion relation for the MHD waves is derived and solved numerically to
obtain both the frequencies and damping rates of the fundamental and
first-overtone modes of both the kink (m=1) and fluting (m=2,3) waves. It was
found that a magnetic twist will increase the frequencies, damping rates and
the ratio of the oscillation frequency to the damping rate of these modes. The
period ratio P_1/P_2 of the fundamental and its first-overtone surface waves
for kink (m=1) and fluting (m=2,3) modes is lower than 2 (the value for an
untwisted loop) in the presence of twisted magnetic field. For the kink modes,
particularly, the magnetic twists B_{\phi}/B_z=0.0065 and 0.0255 can achieve
deviations from 2 of the same order of magnitude as in the observations.
Furthermore, for the fundamental kink body waves, the frequency bandwidth
increases with increasing the magnetic twist.Comment: 18 pages, 9 figure
An analytic interface dynamo over a shear layer of finite depth
Parker's analytic Cartesian interface dynamo is generalized to the case of a
shear layer of finite thickness and low resistivity ("tachocline"), bounded by
a perfect conductor ("radiative zone") on the one side, and by a highly
diffusive medium ("convective zone") supporting an -effect on the other
side. In the limit of high diffusivity contrast between the shear layer and the
diffusive medium, thought to be relevant for the Sun, a pair of exact
dispersion relations for the growth rate and frequency of dynamo modes is
analytically derived. Graphic solution of the dispersion relations displays a
somewhat unexpected, non-monotonic behaviour, the mathematical origin of which
is elucidated. The dependence of the results on the parameter values (dynamo
number and shear layer thickness) is investigated. The implications of this
result for the solar dynamo problem are discussed.Comment: 11 pages, 4 figures Geophys. Astrophys. Fluid Dyn., in pres
The Atlanto-Pacific multidecade oscillation and its imprint on the global temperature record
Results from a multiregression analysis of the
global and sea surface temperature anomalies for the period
1950–2011 are presented where among the independent
variables multidecade oscillation signals over various oceanic
areas are included. These indices are defined in analogy
with the Atlantic Multidecadal Oscillation (AMO)
index. Unexpectedly we find that a strong multidecade
oscillation signal echoing the AMO is also present in the
Western and Northwestern Pacific region. The results
indicate that naturally induced climate variations seem
to be dominated by two internal variability modes of the
ocean–atmosphere system: AMO and El Niño Southern
Oscillation, with a marked geographical dichotomy in
their respective areas of dominance. As the AMO index is
directly derived from SST data the finding that the AMO
signal is present on a large fraction of the global oceanic
surface casts doubt on its use as an independent explanatory variable in regression analyses of the global surface temperature anomalies
Observational Evidence of Sausage-Pinch Instability in Solar Corona by SDO/AIA
We present the first observational evidence of the evolution of sausage-pinch
instability in Active Region 11295 during a prominence eruption using data
recorded on 12 September 2011 by the Atmospheric Imaging Assembly (AIA) onboard
the Solar Dynamics Observatory (SDO). We have identified a magnetic flux tube
visible in AIA 304 \AA\ that shows curvatures on its surface with variable
cross-sections as well as enhanced brightness. These curvatures evolved and
thereafter smoothed out within a time-scale of a minute. The curved locations
on the flux tube exhibit a radial outward enhancement of the surface of about
1-2 Mm (factor of 2 larger than the original thickness of the flux tube) from
the equilibrium position. AIA 193 \AA\ snapshots also show the formation of
bright knots and narrow regions inbetween at the four locations as that of 304
\AA\ along the flux tube where plasma emission is larger compared to the
background. The formation of bright knots over an entire flux tube as well as
the narrow regions in < 60 s may be the morphological signature of the sausage
instability. We also find the flows of the confined plasma in these bright
knots along the field lines, which indicates the dynamicity of the flux tube
that probably causes the dominance of the longitudinal field component over
short temporal scales. The observed longitudinal motion of the plasma frozen in
the magnetic field lines further vanishes the formed curvatures and plasma
confinements as well as growth of instability to stablize the flux tube.Comment: 12 pages, 5 figure
Thermal Equilibrium with the Wiener Potential: Testing the Replica Variational Approximation
We consider the statistical mechanics of a classical particle in a
one-dimensional box subjected to a random potential which constitutes a Wiener
process on the coordinate axis. The distribution of the free energy and all
correlation functions of the Gibbs states may be calculated exactly as a
function of the box length and temperature. This allows for a detailed test of
results obtained by the replica variational approximation scheme. We show that
this scheme provides a reasonable estimate of the averaged free energy.
Furthermore our results shed more light on the validity of the concept of
approximate ultrametricity which is a central assumption of the replica
variational method.Comment: 6 pages, 1 file LaTeX2e generating 2 eps-files for 2 figures
automaticall
Quark Number Fluctuations in a Chiral Model at Finite Baryon Chemical Potential
We discuss the net quark and isovector fluctuations as well as off-diagonal
quark flavor susceptibilities along the chiral phase transition line in the
Nambu--Jona-Lasinio (NJL) model. The model is formulated at non-zero quark and
isospin chemical potentials with non-vanishing vector couplings in the
iso-scalar and iso-vector channels. We study the influence of the quark
chemical potential on the quark flavour susceptibilities in detail and the
dependence of the results on model parameters as well as on the quark mass. The
NJL model findings are compared with recent lattice results obtained in
two--flavor QCD at finite chemical potential. On a qualitative level, the NJL
model provides a consistent description of the dependence of quark number
fluctuations on temperature and baryon chemical potential. The phase diagram
and the position of the tricritical point in the NJL model are also discussed
for different parameter sets.Comment: 33 pages, 11 figures; final version accepted for publication in Phys.
Rev.
Asymptotic solutions of decoupled continuous-time random walks with superheavy-tailed waiting time and heavy-tailed jump length distributions
We study the long-time behavior of decoupled continuous-time random walks
characterized by superheavy-tailed distributions of waiting times and symmetric
heavy-tailed distributions of jump lengths. Our main quantity of interest is
the limiting probability density of the position of the walker multiplied by a
scaling function of time. We show that the probability density of the scaled
walker position converges in the long-time limit to a non-degenerate one only
if the scaling function behaves in a certain way. This function as well as the
limiting probability density are determined in explicit form. Also, we express
the limiting probability density which has heavy tails in terms of the Fox
-function and find its behavior for small and large distances.Comment: 16 pages, 1 figur
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