1,015 research outputs found
Singularities of improper affine spheres and surfaces of constant Gaussian curvature
We study the equation for improper (parabolic) affine spheres from the view
point of contact geometry and provide the generic classification of
singularities appearing in geometric solutions to the equation as well as their
duals. We also show the results for surfaces of constant Gaussian curvatureand
for developable surfaces. In particular we confirm that generic singularities
appearing in such a surface are just cuspidal edges and swallowtails.Comment: 20 pages, 1 figure
Stationary Josephson effect in a weak-link between nonunitary triplet superconductors
A stationary Josephson effect in a weak-link between misorientated nonunitary
triplet superconductors is investigated theoretically. The non-self-consistent
quasiclassical Eilenberger equation for this system has been solved
analytically. As an application of this analytical calculation, the
current-phase diagrams are plotted for the junction between two nonunitary
bipolar wave superconducting banks. A spontaneous current parallel to the
interface between superconductors has been observed. Also, the effect of
misorientation between crystals on the Josephson and spontaneous currents is
studied. Such experimental investigations of the current-phase diagrams can be
used to test the pairing symmetry in the above-mentioned superconductors.Comment: 6 pages and 6 figure
Nonvanishing Local Moment in Triplet Superconductors
The Kondo effect in a -wave superconductor is studied by
applying the Wilson's numerical renormalization group method. In this type of
superconductor with a full energy gap like a s-wave one, the ground state is
always a spin doublet, while a local spin is shrunk by the Kondo effect. The
calculated magnetic susceptibility indicates that the spin of the ground state
is generated by the orbital effect of the -wave Cooper
pairs. The effect of spin polarization of the triplet superconductor is also
discussed.Comment: 5 pages, 4 figures, to be published in J. Phys. Soc. Jp
Variable Accretion Rates and Fluffy First Stars
We combine the output of hydrodynamical simulations of Population III star
cluster formation with stellar evolution models, and calculate the evolution of
protostars experiencing variable mass accretion rates due to interactions
within a massive disk. We find that the primordial protostars are extended
'fluffy' objects for the bulk of their pre-main-sequence lifetimes. Accretion
luminosity feedback from such objects is high, but as shown in previous work,
has a minimal effect on the star cluster. The extended radii of the protostars,
combined with the observation of close encounters in the simulations, suggests
that mergers will occur in such systems. Furthermore, mass transfer between
close protostellar binaries with extended radii could lead to massive tight
binaries, which are a possible progenitor of gamma ray bursts.Comment: 7 pages, 6 figures, 2 tables. To be published in MNRA
Bacterial contamination of anesthesia machines’ internal breathing-circuit-systems
Background: Bacterial contamination of anesthesia breathing machines and their potential hazard for pulmonary infection and cross-infection among anesthetized patients has been an infection control issue since the 1950s. Disposable equipment and bacterial filters have been introduced to minimize this risk. However, the machines’ internal breathing-circuit-system has been considered to be free of micro-organisms without providing adequate data supporting this view. The aim of the study was to investigate if any micro-organisms can be yielded from used internal machines’ breathing-circuit-system. Based on such results objective reprocessing intervals could be defined
Spin and orbital effects of Cooper pairs coupled to a single magnetic impurity
The Kondo effect strongly depends on spin and orbital degrees of freedom of
unconventional superconductivity. We focus on the Kondo effect in the -wave and -wave superconductors to compare the
magnetic properties of the spin-triplet and spin-singlet Cooper pairs. The
difference appears when both of the paired electrons couple to a local spin
directly. For the -wave, the ground state is always a spin doublet
for a local spin, and it is always a spin singlet for
. The latter is due to uniaxial spin anisotropy of the triplet
Cooper pair. For the -wave, the interchange of ground
states occurs, which resembles a competition between the Kondo effect and the
superconducting energy gap in s-wave superconductors. Thus the internal degrees
of freedom of Cooper pairs give a variety to the Kondo effect.Comment: 7 pages, 6 figures, RevTex, to be published in Phys. Rev.
Phase diagram of UPt in the model
The phase diagram of the unconventional superconductor UPt is explained
under the long-standing hypothesis that the pair wavefunction belongs to the
representation of the point group. The main objection to this theory
has been that it disagrees with the experimental phase diagram when a field is
applied along the c-axis. By a careful analysis of the free energy this
objection is shown to be incorrect. This singlet theory also explains the
unusual anisotropy in the upper critical field curves, often thought to
indicate a triplet pair function.Comment: 11 pages, Revtex, 2 figures (uuencoded, gzip'ed Postscript
Bound states at the interface between antiferromagnets and superconductors
We present a detailed theoretical investigation of interfaces and junctions
involving itinerant antiferromagnets. By solving the Bogoliubov-de Gennes
equations with a tight-binding model on a square lattice, we study both the
self-consistent order parameter fields proximate to interfaces between
antiferromagnets (AF) and s-wave (sSC) or d-wave (dSC) superconductors, the
dispersion of quasiparticle subgap states at interfaces and interlayers, and
the local density of states (LDOS) as a function of distance from the
interface. In addition, we present the quasiclassical approach to interfaces
and junctions involving itinerant antiferromagnets developed in an earlier
paper. Analytical results are in excellent agreement with what we obtain
numerically. Strong effects of pair breaking in the presence of low-energy
interface Andreev states are found in particular for AF/sSC interfaces when
interface potentials are not too high. Potential barriers induce additional
extrema in the dispersive quasiparticle spectra with corresponding peaks in the
LDOS. Discrete quasiparticle dispersive levels in AF - normal metal (N) - AF
systems are found to strongly depend on the misorientation angle of the
magnetizations in the two antiferromagnets.Comment: 21 pp, 21 postscript figures, submitted to Phys. Rev.
Comparative electron temperature measurements of Thomson scattering and electron cyclotron emission diagnostics in TCABR plasmas
We present the first simultaneous measurements of the Thomson scattering and electron cyclotron emission radiometer diagnostics performed at TCABR tokamak with Alfven wave heating. The Thomson scattering diagnostic is an upgraded version of the one previously installed at the ISTTOK tokamak, while the electron cyclotron emission radiometer employs a heterodyne sweeping radiometer. For purely Ohmic discharges, the electron temperature measurements from both diagnostics are in good agreement. Additional Alfven wave heating does not affect the capability of the Thomson scattering diagnostic to measure the instantaneous electron temperature, whereas measurements from the electron cyclotron emission radiometer become underestimates of the actual temperature values. (C) 2010 American Institute of Physics. [doi:10.1063/1.3494379]811
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