2,151 research outputs found
A Note on Segre Types of Second Order Symmetric Tensors in 5-D Brane-world Cosmology
Recent developments in string theory suggest that there might exist extra
spatial dimensions, which are not small nor compact. The framework of most
brane cosmological models is that in which the matter fields are confined on a
brane-world embedded in five dimensions (the bulk). Motivated by this we
reexamine the classification of the second order symmetric tensors in 5--D, and
prove two theorems which collect together some basic results on the algebraic
structure of these tensors in 5-dimensional space-times. We also briefly
indicate how one can obtain, by induction, the classification of symmetric
two-tensors (and the corresponding canonical forms) on n-dimensional spaces
from the classification on 4-dimensional spaces. This is important in the
context of 11--D supergravity and 10--D superstrings.Comment: 12 pages, to appear in Mod. Phys. Lett. A (2003) in the present for
Star formation in clusters: a survey of compact mm-wave sources in the Serpens core
We report the results of a millimeter interferometric survey of compact 3 mm
continuum sources in the inner 5.5'x5.5' region of the Serpens core. We detect
32 discrete sources above 4.0 mJy/beam, 21 of which are new detections at
millimeter wavelengths. By comparing our data with published infrared surveys,
we estimate that 26 sources are probably protostellar condensations and derive
their mass assuming optically thin thermal emission from dust grains. The mass
spectrum of the clumps, dN/dM~M^(-2.1), is consistent with the stellar initial
mass function, supporting the idea that the stellar masses in young clusters
are determined by the fragmentation of turbulent cloud cores.Comment: To be published on The Astrophysical Journal Letters, 11 pages, 4
figures, aastex macros neede
High Mass Star Formation. II. The Mass Function of Submillimeter Clumps in M17
We have mapped an approximately 5.5 by 5.5 pc portion of the M17 massive
star-forming region in both 850 and 450 micron dust continuum emission using
the Submillimeter Common-User Bolometer Array (SCUBA) on the James Clerk
Maxwell Telescope (JCMT). The maps reveal more than 100 dusty clumps with
deconvolved linear sizes of 0.05--0.2 pc and masses of 0.8--120 solar masses,
most of which are not associated with known mid-infrared point sources. Fitting
the clump mass function with a double power law gives a mean power law exponent
of alpha_high = -2.4 +/- 0.3 for the high-mass power law, consistent with the
exponent of the Salpeter stellar mass function. We show that a lognormal clump
mass distribution with a peak at about 4 solar masses produces as good a fit to
the clump mass function as does a double power law. This 4 solar mass peak mass
is well above the peak masses of both the stellar initial mass function and the
mass function of clumps in low-mass star-forming regions. Despite the
difference in intrinsic mass scale, the shape of the M17 clump mass function
appears to be consistent with the shape of the core mass function in low-mass
star-forming regions. Thus, we suggest that the clump mass function in
high-mass star-forming regions may be a scaled-up version of that in low-mass
regions, instead of its extension to higher masses.Comment: 33 pages, 6 figures, 3 tables. Accepted for publication in the
Astrophysical Journa
Giant oscillations of the current in a dirty 2D electron system flowing perpendicular to a lateral barrier under magnetic field
The charge transport in a dirty 2-dimensional electron system biased in the
presence of a lateral potential barrier under magnetic field is theoretically
studied. The quantum tunneling across the barrier provides the quantum
interference of the edge states localized on its both sides that results in
giant oscillations of the charge current flowing perpendicular to the lateral
junction. Our theoretical analysis is in a good agreement with the experimental
observations presented in Ref.8. In particular, positions of the conductance
maxima coincide with the Landau levels while the conductance itself is
essentially suppressed even at the energies at which the resonant tunneling
occurs and hence these puzzling observations can be resolved without taking
into account the electron-electron interaction.Comment: 6 pages, 4 figure
Vortex mediated microwave absorption in superclean layered superconductors
In the superclean case the spectrum of vortex core excitations in the
presence of disorder is not random but consists of two series of equally-spaced
levels. The I-V characteristics of such superconductors displays many
interesting phenomena. A series of resonances is predicted at frequencies
commensurate with the spacing of the vortex excitations. These resonances
reveal an even-odd anomaly. In the presence of one weak impurity the excitation
levels can approach each other and almost cross. Absorption at very low
frequencies is identified with the resonances arising in this case. The results
of such microscopic theory coincide up to the order of magnitude with both the
theory employing kinetic equation and the experiment. The non-linear effects
associated with Zener transitions in such crossings are studied. These
phenomena can be used as a probe of vortex core excitations.Comment: 11 pages, 2 Postscript figure
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