4,847 research outputs found
The earth-resistivity method of geophysical surveying
The main conclusions and findings of this investigation
may be summarised as follows:-(1) The Geophysical Megger Earth Tester is an admirable
machine for resistivity work. The only trouble experienced
was the entry of water into the generator during very wet
weather.(2) With very thin vertical sheets the longitudinal traverse
gives a more positive and more easily recognised anomalous
resistivity curve.(3) With thin vertical sheets the transverse traverse gives a better idea of the likely direction of the sheet.(4) W- shaped resistivity curve is obtained from longitudinal
traverse over both conductors and insulators, but with the
former, the centre of the anomaly never rises above the country
resistivity.(5) The problem of traversing over vertical sheets may be
solved by the theory of images. The resulting equations,
although complicated looking, may be solved by various short
cut methods.(6) The types of curves obtained from longitudinal traverses
vary greatly according to the thickness of the sheet, there
being a typical curve for widths of sheet between integral
multiples of the electrode interval until the sheet becomes
wider than the whole electrode spread. These curves should
be valuable in the interpretation of vertical bodies with wide
extension along the strike such as dykes, fault planes or zones
and highly dipping strata.(7) Transverse traverses over thin insulating sheets yield a
double peaked apparent resistivity curve. This soon gives way
to a single peak as the sheet width increases. The converse,
i.e. double and single troughs, is found over conductors.(8) The problem of traverses over inclined sheets cannot be
solved by the theory of images, but type curves can be obtained
from laboratory experiments.(9) Buried sheets yield similar but more rounded and less
evident curves as the depth of cover increases.(10) The method of traversing can often prove valuable in the
field in the location and exploration of faults, dykes and
buried channels. Shallow underground fires may also be within
its scope.(11) Two -layer problems are best_-solved by Tagg's method.
Moore's method of cumulative resistivity curves cannot be held
as satisfactory.(12) The effect of lateral variations in resistivity on depth
probes can be investigated by the theory of images, and can
often be recognised in the field curves. Expanding probes
crossing an interposed sheet of different resistivity will
yield resistivity -depth curves with recognisable discontinuities. Depth probes parallel to the strike of such a sheet
yield curves similar to those of two or three horizontal layers
and great care will be required in their interpretation and
recognition
Collective excitations of atomic Bose-Einstein condensates
We apply linear-response analysis of the Gross-Pitaevskii equation to obtain
the excitation frequencies of a Bose-Einstein condensate confined in a
time-averaged orbiting potential trap. Our calculated values are in excellent
agreement with those observed in a recent experiment.Comment: 11 pages, 2 Postscript figures, uses psbox.tex for automatic figure
inclusion. More info at http://amo.phy.gasou.edu/bec.htm
Just how long can you live in a black hole and what can be done about it?
We study the problem of how long a journey within a black hole can last.
Based on our observations, we make two conjectures. First, for observers that
have entered a black hole from an asymptotic region, we conjecture that the
length of their journey within is bounded by a multiple of the future
asymptotic ``size'' of the black hole, provided the spacetime is globally
hyperbolic and satisfies the dominant-energy and non-negative-pressures
conditions. Second, for spacetimes with Cauchy surfaces (or an
appropriate generalization thereof) and satisfying the dominant energy and
non-negative-pressures conditions, we conjecture that the length of a journey
anywhere within a black hole is again bounded, although here the bound requires
a knowledge of the initial data for the gravitational field on a Cauchy
surface. We prove these conjectures in the spherically symmetric case. We also
prove that there is an upper bound on the lifetimes of observers lying ``deep
within'' a black hole, provided the spacetime satisfies the
timelike-convergence condition and possesses a maximal Cauchy surface. Further,
we investigate whether one can increase the lifetime of an observer that has
entered a black hole, e.g., by throwing additional matter into the hole.
Lastly, in an appendix, we prove that the surface area of the event horizon
of a black hole in a spherically symmetric spacetime with ADM mass
is always bounded by , provided
that future null infinity is complete and the spacetime is globally hyperbolic
and satisfies the dominant-energy condition.Comment: 20 pages, REVTeX 3.0, 6 figures included, self-unpackin
A Look at the Future: Teachers in Non-Traditional Adult Reading Programs
Currently, the job market for those equipped to teach reading and reading related skills to older adolescents and adults in non-school settings is clearly changing and possibly expanding while the demand for teachers to teach only in traditional school-based settings is declining
A general variational principle for spherically symmetric perturbations in diffeomorphism covariant theories
We present a general method for the analysis of the stability of static,
spherically symmetric solutions to spherically symmetric perturbations in an
arbitrary diffeomorphism covariant Lagrangian field theory. Our method involves
fixing the gauge and solving the linearized gravitational field equations to
eliminate the metric perturbation variable in terms of the matter variables. In
a wide class of cases--which include f(R) gravity, the Einstein-aether theory
of Jacobson and Mattingly, and Bekenstein's TeVeS theory--the remaining
perturbation equations for the matter fields are second order in time. We show
how the symplectic current arising from the original Lagrangian gives rise to a
symmetric bilinear form on the variables of the reduced theory. If this
bilinear form is positive definite, it provides an inner product that puts the
equations of motion of the reduced theory into a self-adjoint form. A
variational principle can then be written down immediately, from which
stability can be tested readily. We illustrate our method in the case of
Einstein's equation with perfect fluid matter, thereby re-deriving, in a
systematic manner, Chandrasekhar's variational principle for radial
oscillations of spherically symmetric stars. In a subsequent paper, we will
apply our analysis to f(R) gravity, the Einstein-aether theory, and
Bekenstein's TeVeS theory.Comment: 13 pages; submitted to Phys. Rev. D. v2: changed formatting, added
conclusion, corrected sign convention
Simultaneous dual-element analyses of refractory metals in naturally occurring matrices using resonance ionization of sputtered atoms
The combination of secondary neutral mass spectrometry (SNMS) and resonance ionization spectroscopy (RIS) has been shown to be a powerful tool for the detection of low levels of elemental impurities in solids. Drawbacks of the technique have been the laser-repetition-rate-limited, low duty cycle of the analysis and the fact that RIS schemes are limited to determinations of a single element. These problems have been addressed as part of an ongoing program to explore the usefulness of RIS/SNMS instruments for the analysis of naturally occurring samples. Efficient two-color, two-photon (1+1) resonance ionization schemes were identified for Mo and for four platinum-group elements (Ru, Os, Ir, and Re). Careful selection of the ionization schemes allowed Mo or Ru to be measured simultaneously with Re, Os, or Ir, using two tunable dye lasers and an XeCl excimer laser. Resonance frequencies could be switched easily under computer control, so that all five elements can be rapidly analyzed. In situ measurements of these elements in metal grains from five meteorites were conducted. From the analyses, estimates of the precision and the detection limit of the instrument were made. The trade-off between lower detection limits and rapid multielement RIS analyses is discussed
Stability of spherically symmetric solutions in modified theories of gravity
In recent years, a number of alternative theories of gravity have been
proposed as possible resolutions of certain cosmological problems or as toy
models for possible but heretofore unobserved effects. However, the
implications of such theories for the stability of structures such as stars
have not been fully investigated. We use our "generalized variational
principle", described in a previous work, to analyze the stability of static
spherically symmetric solutions to spherically symmetric perturbations in three
such alternative theories: Carroll et al.'s f(R) gravity, Jacobson &
Mattingly's "Einstein-aether theory", and Bekenstein's TeVeS. We find that in
the presence of matter, f(R) gravity is highly unstable; that the stability
conditions for spherically symmetric curved vacuum Einstein-aether backgrounds
are the same as those for linearized stability about flat spacetime, with one
exceptional case; and that the "kinetic terms" of vacuum TeVeS are indefinite
in a curved background, leading to an instability.Comment: ReVTex; 20 pages, 3 figures. v2: references added, submitted to PRD;
v3: expanded discussion of TeVeS; v4: minor typos corrected (version to
appear in PRD
Formation of fundamental structures in Bose-Einstein Condensates
The meanfield interaction in a Bose condensate provides a nonlinearity which
can allow stable structures to exist in the meanfield wavefunction. We discuss
a number of examples where condensates, modelled by the one dimensional Gross
Pitaevskii equation, can produce gray solitons and we consider in detail the
case of two identical condensates colliding in a harmonic trap. Solitons are
shown to form from dark interference fringes when the soliton structure,
constrained in a defined manner, has lower energy than the interference fringe
and an analytic expression is given for this condition.Comment: 7 pages, 3 figures, requires ioplppt.st
Creation of macroscopic superposition states from arrays of Bose-Einstein condensates
We consider how macroscopic quantum superpositions may be created from arrays
of Bose-Einstein condensates. We study a system of three condensates in Fock
states, all with the same number of atoms and show that this has the form of a
highly entangled superposition of different quasi-momenta. We then show how, by
partially releasing these condensates and detecting an interference pattern
where they overlap, it is possible to create a macroscopic superposition of
different relative phases for the remaining portions of the condensates. We
discuss methods for confirming these superpositions.Comment: 7 pages, 5 figure
Precise location of Sagittarius X ray sources with a rocket-borne rotating modulation collimator
Precise location of Sagittarius X ray sources with rocket-borne rotating modulation collimato
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