15,516 research outputs found
Transition Probability to Turbulent Transport Regime
Transition phenomena between thermal noise state and turbulent state observed
in a submarginal turbulent plasma are analyzed with statistical theory.
Time-development of turbulent fluctuation is obtained by numerical simulations
of Langevin equation which contains hysteresis characteristics. Transition
rates between two states are analyzed. Transition from turbulent state to
thermal noise state occurs in entire region between subcritical bifurcation
point and linear stability boundary.Comment: 9 pages, 6 figures, to be published in Plasma Phys. Control. Fusio
Stochastic Transition between Turbulent Branch and Thermodynamic Branch of an Inhomogeneous Plasma
Transition phenomena between thermodynamic branch and turbulent branch in
submarginal turbulent plasma are analyzed with statistical theory.
Time-development of turbulent fluctuation is obtained by numerical simulations
of Langevin equation which contains submarginal characteristics. Probability
density functions and transition rates between two states are analyzed.
Transition from turbulent branch to thermodynamic branch occurs in almost
entire region between subcritical bifurcation point and linear stability
boundary.Comment: 10 pages, 8 figures, to be published in J. Phys. Soc. Jp
Cut loci and conjugate loci on Liouville surfaces
In the earlier paper (Itoh and Kiyohara, Manuscr Math 114:247–264, 2004), we showed that the cut locus of a general point on two-dimensional ellipsoid is a segment of a curvature line and proved "Jacobi’s last geometric statement" on the singularities of the conjugate locus. In the present paper,we showthat a wider class of Liouville surfaces possess such simple cut loci and conjugate loci. The results include the determination of cut loci and the set of poles on two-sheeted hyperboloids and elliptic paraboloids
Nucleon-Nucleon Scattering in a Strong External Magnetic Field and the Neutrino Emissivity
The nucleon-nucleon scattering in a large magnetic background is considered
to find its potential to change the neutrino emissivity of the neutron stars.
For this purpose we consider the one-pion-exchange approximation to find the NN
cross-section in a background field as large as
. We show that the NN cross-section in
neutron stars with temperatures in the range 0.1-5 \texttt{MeV} can be changed
up to the one order of magnitude with respect to the one in the absence of the
magnetic field. In the limit of the soft neutrino emission the neutrino
emissivity can be written in terms of the NN scattering amplitude therefore the
large magnetic fields can dramatically change the neutrino emissivity of the
neutron stars as well.Comment: 21 pages, 5 figures, to appear in PR
A method to measure a relative transverse velocity of source-lens-observer system using gravitational lensing of gravitational waves
Gravitational waves propagate along null geodesics like light rays in the
geometrical optics approximation, and they may have a chance to suffer from
gravitational lensing by intervening objects, as is the case for
electromagnetic waves. Long wavelength of gravitational waves and compactness
of possible sources may enable us to extract information in the interference
among the lensed images. We point out that the interference term contains
information of relative transverse velocity of the source-lens-observer system,
which may be obtained by possible future space-borne gravitational wave
detectors such as BBO/DECIGO.Comment: 27 pages, 9 figures. Accepted for publication in Physical Review
Scaling Laws in High-Energy Inverse Compton Scattering. II. Effect of Bulk Motions
We study the inverse Compton scattering of the CMB photons off high-energy
nonthermal electrons. We extend the formalism obtained by the previous paper to
the case where the electrons have non-zero bulk motions with respect to the CMB
frame. Assuming the power-law electron distribution, we find the same scaling
law for the probability distribution function P_{1,K}(s) as P_{1}(s) which
corresponds to the zero bulk motions, where the peak height and peak position
depend only on the power-index parameter. We solved the rate equation
analytically. It is found that the spectral intensity function also has the
same scaling law. The effect of the bulk motions to the spectral intensity
function is found to be small. The present study will be applicable to the
analysis of the X-ray and gamma-ray emission models from various astrophysical
objects with non-zero bulk motions such as radio galaxies and astrophysical
jets.Comment: 10 pages, 3 figures, accepted version by Physical Review
Global parameter-space correlations of coherent searches for continuous gravitational waves
The space of phase-parameters (sky-position, frequency, spindowns) of a
coherent matched-filtering search for continuous gravitational waves from
isolated neutron stars shows strong global correlations (``circles in the
sky''). In the local limit this can be analysed in terms of a parameter-space
metric, but the global properties are less well studied. In this work we report
on our recent progress in understanding these global correlations analytically
for short to intermediate (less than a month, say) observation times and
neglecting spindowns. The location of these correlation-circles in
parameter-space is found to be determined mostly by the orbital velocity of the
earth, while the spin-motion of the detector and the antenna-patterns only
contribute significantly to the amplitude of the detection statistic along
these circles.Comment: 10 pages, 6 figures; contribution to GWDAW9, submitted to CQ
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