1,418 research outputs found
On the lowest eigenvalue of Laplace operators with mixed boundary conditions
In this paper we consider a Robin-type Laplace operator on bounded domains.
We study the dependence of its lowest eigenvalue on the boundary conditions and
its asymptotic behavior in shrinking and expanding domains. For convex domains
we establish two-sided estimates on the lowest eigenvalues in terms of the
inradius and of the boundary conditions
Noise and Measurement Efficiency of a Partially Coherent Mesoscopic Detector
We study the noise properties and efficiency of a mesoscopic resonant-level
conductor which is used as a quantum detector, in the regime where transport
through the level is only partially phase coherent. We contrast models in which
detector incoherence arises from escape to a voltage probe, versus those in
which it arises from a random time-dependent potential. Particular attention is
paid to the back-action charge noise of the system. While the average detector
current is similar in all models, we find that its noise properties and
measurement efficiency are sensitive both to the degree of coherence and to the
nature of the dephasing source. Detector incoherence prevents quantum limited
detection, except in the non-generic case where the source of dephasing is not
associated with extra unobserved information. This latter case can be realized
in a version of the voltage probe model.Comment: 15 pages, 5 figures; revised dicussion of voltage probe model
Geometrothermodynamics of five dimensional black holes in Einstein-Gauss-Bonnet-theory
We investigate the thermodynamic properties of 5D static and spherically
symmetric black holes in (i) Einstein-Maxwell-Gauss-Bonnet theory, (ii)
Einstein-Maxwell-Gauss-Bonnet theory with negative cosmological constant, and
in (iii) Einstein-Yang-Mills-Gauss-Bonnet theory. To formulate the
thermodynamics of these black holes we use the Bekenstein-Hawking entropy
relation and, alternatively, a modified entropy formula which follows from the
first law of thermodynamics of black holes. The results of both approaches are
not equivalent. Using the formalism of geometrothermodynamics, we introduce in
the manifold of equilibrium states a Legendre invariant metric for each black
hole and for each thermodynamic approach, and show that the thermodynamic
curvature diverges at those points where the temperature vanishes and the heat
capacity diverges.Comment: New sections added, references adde
Interbreed variation in craniometrical parameters in sheep.
This work is the first investigation to compare craniometrical parameters between different breeds of sheep. Nine breeds or cross-breeds of sheep were studied, with all measurements being carried out on live animals at times of routine animal husbandry. Although a number of the variables were not significantly different between breeds, examples of interbreed differences were found. This was true for both individual measurements of lengths and widths, as well as for indices derived by pair-wise comparisons of individual widths or lengths. In some cases differences indicated that the cross-bred lambs shared a greater similarity to one of the parental breeds relative to the other parental breed; e.g. the width between the ears relative to the length from the nuchal crest to the rostral aspect of the upper lip, where Texel x Wiltshire cross lambs had ratios more similar to the maternal Wiltshire than they had to the paternal Texel line. In other examples the cross-breeds had values which were intermediate between the two parental lines; e.g. the width at the rostral aspect of the diastema relative to the length from the nuchal crest to the rostral aspect of the upper lip, where Texel x Wiltshire cross lambs had ratios intermediate between the maternal Wiltshire and the paternal Texel lines. For one of the ratio values (the length from the nuchal crest to the rostral aspect of the upper lip, relative to the width at the caudal aspect of the diastema) it was particularly interesting to note that this was a trait where the male Suffolk x Brecknock Hill Cheviot cross lambs were more similar to the Suffolks (i.e. the paternal line), but the females cross lambs were more similar to the Brecknock Hill Cheviots (i.e. the maternal line). It is anticipated that this work will provide implications for using craniometrical parameters as a future husbandry tool
Generalised second law of thermodynamics for interacting dark energy in the DGP brane world
In this paper, we investigate the validity of the generalized second law of
thermodynamics (GSLT) in the DGP brane world when universe is filled with
interacting two fluid system: one in the form of cold dark matter and other is
holographic dark energy. The boundary of the universe is assumed to be enclosed
by the dynamical apparent horizon or the event horizon. The universe is chosen
to be homogeneous and isotropic FRW model and the validity of the first law has
been assumed here
Scattering of light and atoms in a Fermi-Dirac gas with BCS pairing
We theoretically study the optical properties of a Fermi-Dirac gas in the
presence of a superfluid state. We calculate the leading quantum-statistical
corrections to the standard column density result of the electric
susceptibility. We also consider the Bragg diffraction of atoms by means of
light-stimulated transitions of photons between two intersecting laser beams.
Bardeen-Cooper-Schrieffer pairing between atoms in different internal levels
magnifies incoherent scattering processes. The absorption linewidth of a
Fermi-Dirac gas is broadened and shifted. Bardeen-Cooper-Schrieffer pairing
introduces a collisional local-field shift that may dramatically dominate the
Lorentz-Lorenz shift. For the case of the Bragg spectroscopy the static
structure function may be significantly increased due to superfluidity in the
nearforward scattering.Comment: 13 pages, 6 figures; to appear in PR
Single photon emitters based on Ni/Si related defects in single crystalline diamond
We present investigations on single Ni/Si related color centers produced via
ion implantation into single crystalline type IIa CVD diamond. Testing
different ion dose combinations we show that there is an upper limit for both
the Ni and the Si dose 10^12/cm^2 and 10^10/cm^2 resp.) due to creation of
excess fluorescent background. We demonstrate creation of Ni/Si related centers
showing emission in the spectral range between 767nm and 775nm and narrow
line-widths of 2nm FWHM at room temperature. Measurements of the intensity
auto-correlation functions prove single-photon emission. The investigated color
centers can be coarsely divided into two groups: Drawing from photon statistics
and the degree of polarization in excitation and emission we find that some
color centers behave as two-level, single-dipole systems whereas other centers
exhibit three levels and contributions from two orthogonal dipoles. In
addition, some color centers feature stable and bright emission with saturation
count rates up to 78kcounts/s whereas others show fluctuating count rates and
three-level blinking.Comment: 7 pages, submitted to Applied Physics B, revised versio
Generation and evolution of vortex-antivortex pairs in Bose-Einstein condensates
We propose a method for generating and controlling a spatially separated
vortex--antivortex pair in a Bose-Einstein condensate trapped in a toroidal
potential. Our simulations of the time dependent Gross-Pitaevskii equation show
that in toroidal condensates vortex dynamics are different from the dynamics in
the homogeneous case. Our numerical results agree well with analytical
calculations using the image method. Our proposal offers an effective example
of coherent generation and control of vortex dynamics in atomic condensates.Comment: 4 pages, 2 figure
Dynamical modelling of the elliptical galaxy NGC 2974
In this paper we analyse the relations between a previously described oblate
Jaffe model for an ellipsoidal galaxy and the observed quantities for NGC 2974,
and obtain the length and velocity scales for a relevant elliptical galaxy
model. We then derive the finite total mass of the model from these scales, and
finally find a good fit of an isotropic oblate Jaffe model by using the
Gauss-Hermite fit parameters and the observed ellipticity of the galaxy NGC
2974. The model is also used to predict the total luminous mass of NGC 2974,
assuming that the influence of dark matter in this galaxy on the image,
ellipticity and Gauss-Hermite fit parameters of this galaxy is negligible
within the central region, of radius Comment: 7 figure
Path Integral Monte Carlo Approach to the U(1) Lattice Gauge Theory in (2+1) Dimensions
Path Integral Monte Carlo simulations have been performed for U(1) lattice
gauge theory in (2+1) dimensions on anisotropic lattices. We extractthe static
quark potential, the string tension and the low-lying "glueball" spectrum.The
Euclidean string tension and mass gap decrease exponentially at weakcoupling in
excellent agreement with the predictions of Polyakov and G{\" o}pfert and Mack,
but their magnitudes are five times bigger than predicted. Extrapolations are
made to the extreme anisotropic or Hamiltonian limit, and comparisons are made
with previous estimates obtained in the Hamiltonian formulation.Comment: 12 pages, 16 figure
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