47,981 research outputs found
Properties of solutions of stochastic differential equations driven by the G-Brownian motion
In this paper, we study the differentiability of solutions of stochastic
differential equations driven by the -Brownian motion with respect to the
initial data and the parameter. In addition, the stability of solutions of
stochastic differential equations driven by the -Brownian motion is
obtained
The motion, stability and breakup of a stretching liquid bridge with a receding contact line
The complex behavior of drop deposition on a hydrophobic surface is
considered by looking at a model problem in which the evolution of a
constant-volume liquid bridge is studied as the bridge is stretched. The bridge
is pinned with a fixed diameter at the upper contact point, but the contact
line at the lower attachment point is free to move on a smooth substrate.
Experiments indicate that initially, as the bridge is stretched, the lower
contact line slowly retreats inwards. However at a critical radius, the bridge
becomes unstable, and the contact line accelerates dramatically, moving inwards
very quickly. The bridge subsequently pinches off, and a small droplet is left
on the substrate. A quasi-static analysis, using the Young-Laplace equation, is
used to accurately predict the shape of the bridge during the initial bridge
evolution, including the initial onset of the slow contact line retraction. A
stability analysis is used to predict the onset of pinch-off, and a
one-dimensional dynamical equation, coupled with a Tanner-law for the dynamic
contact angle, is used to model the rapid pinch-off behavior. Excellent
agreement between numerical predictions and experiments is found throughout the
bridge evolution, and the importance of the dynamic contact line model is
demonstrated.Comment: 37 pages, 12 figure
Bose-Einstein Condensation with Entangled Order Parameter
We propose a practically accessible non-mean-field ground state of
Bose-Einstein condensation (BEC), which occurs in an interspecies two-particle
entangled state, and is thus described by an entangled order parameter. A
suitably defined entanglement entropy is used as the characterization of the
non-mean-field nature, and is found to persist in a wide parameter regime. The
interspecies entanglement leads to novel interference terms in the dynamical
equations governing the single particle orbital wavefunctions. Experimental
feasibility and several methods of probe are discussed. We urge the study of
multi-channel scattering between different species of atoms.Comment: V1: 5 pages, 4 figures. Accepted by Phys. Rev. Lett.; V2: A couple of
very minor typos corrected, publishe
Allogeneic orthotopic liver transplantation in mice: a preliminary study of rejection across well-defined MHC barriers.
Abundances in the Uranium-Rich Star CS 31082-001
The recent discovery by Cayrel et al. of U in CS 31082-001 along with Os and
Ir at greatly enhanced abundances but with [Fe/H]=-2.9 strongly reinforces the
argument that there are at least two kinds of SNII sources for r-nuclei. One
source is the high-frequency H events responsible for heavy r-nuclei (A>135)
but not Fe. The H-yields calculated from data on other ultra-metal-poor stars
and the sun provide a template for quantitatively predicting the abundances of
all other r-elements. In CS 31082-001 these should show a significant
deficiency at A<135 relative to the solar r-pattern. It is proposed that CS
31082-001 should have had a companion that exploded as an SNII H event. If the
binary survived the explosion, this star should now have a compact companion,
most likely a stellar-mass black hole. Comparison of abundance data with
predicted values and a search for a compact companion should provide a
stringent test of the proposed r-process model. The U-Th age determined by
Cayrel et al. for CS 31082-001 is, to within substantial uncertainties, in
accord with the r-process age determined from solar system data. The time gap
between Big Bang and onset of normal star formation only allows r-process
chronometers to provide a lower limit on the age of the universe.Comment: 5 pages, 1 figur
r-Process Nucleosynthesis in Shocked Surface Layers of O-Ne-Mg Cores
We demonstrate that rapid expansion of the shocked surface layers of an
O-Ne-Mg core following its collapse can result in r-process nucleosynthesis. As
the supernova shock accelerates through these layers, it makes them expand so
rapidly that free nucleons remain in disequilibrium with alpha-particles
throughout most of the expansion. This allows heavy r-process isotopes
including the actinides to form in spite of the very low initial neutron excess
of the matter. We estimate that yields of heavy r-process nuclei from this site
may be sufficient to explain the Galactic inventory of these isotopes.Comment: 11 pages, 1 figure, to appear in the Astrophysical Journal Letter
Asymptotic behavior of the least common multiple of consecutive arithmetic progression terms
Let and be two integers with , and let and be
integers with and . In this paper, we prove that , where is a constant depending on and .Comment: 8 pages. To appear in Archiv der Mathemati
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Dynamic Behavior of Precast Concrete Beam-Column Sub-Assemblages with High Performance Connections Subjected to Sudden Column Removal Scenario
Unbonded posttensioned precast concrete (UPPC) structure has shown its excellent aseismic performance in laboratory tests and earthquake investigation. However, the progressive collapse behavior of UPPC subjected to column removal scenario is still unclear. To fill this knowledge gap, two 1/2 scaled UPPC beam-column sub-assemblages were tested under a penultimate column removal scenario. The dynamic test results indicated that UPPC sub-assemblages have desirable load redistribution capacity to mitigate progressive collapse. The failure modes of the sub-assemblages observed in dynamic test were quite similar to that in static counterparts
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