11,852 research outputs found

### Gauge calibration by diffusion

Vacuum gage calibration by diffusing a known quantity of gas through a heated barrier into a gauge is examined. The gas flow raises the pressure in the gauge to known level and is then compared with the gauge's pressure reading

### Optimal Szeg\"o-Weinberger type inequalities

Denote with $\mu_{1}(\Omega;e^{h\left(|x|\right)})$ the first nontrivial
eigenvalue of the Neumann problem \begin{equation*} \left\{\begin{array}{lll}
-\text{div}\left(e^{h\left(|x|\right)}\nabla u\right) =\mu
e^{h\left(|x|\right)}u & \text{in} & \Omega & & \frac{\partial u}{\partial
\nu}=0 & \text{on} & \partial \Omega , \end{array} \right. \end{equation*}
where $\Omega$ is a bounded and Lipschitz domain in $\mathbb{R}^{N}$. Under
suitable assumption on $h$ we prove that the ball centered at the origin is the
unique set maximizing $\mu_{1}(\Omega;e^{h\left(|x|\right)})$ among all
Lipschitz bounded domains $\Omega$ of $\mathbb{R}^{N}$ of prescribed
$e^{h\left(|x|\right)}dx$-measure and symmetric about the origin. Moreover, an
example in the model case $h\left(|x|\right) =|x|^{2},$ shows that, in general,
the assumption on the symmetry of the domain cannot be dropped. In the
one-dimensional case, i.e. when $\Omega$ reduces to an interval $(a,b),$ we
consider a wide class of weights (including both Gaussian and anti-Gaussian).
We then describe the behavior of the eigenvalue as the interval $(a,b)$ slides
along the $x$-axis keeping fixed its weighted length

### Development of an accurate wide range ultra high vacuum gauge calibration method, 29 June 1966 - 28 February 1968

Calibration method and ultrahigh vacuum components for ionization gage and mass spectromete

### The Supersymmetric Fine-Tuning Problem and TeV-Scale Exotic Scalars

A general framework is presented for supersymmetric theories that do not
suffer from fine-tuning in electroweak symmetry breaking. Supersymmetry is
dynamically broken at a scale \Lambda \approx (10 - 100) TeV, which is
transmitted to the supersymmetric standard model sector through standard model
gauge interactions. The dynamical supersymmetry breaking sector possesses an
approximate global SU(5) symmetry, whose SU(3) x SU(2) x U(1) subgroup is
explicitly gauged and identified as the standard model gauge group. This SU(5)
symmetry is dynamically broken at the scale \Lambda, leading to
pseudo-Goldstone boson states, which we call xyons. We perform a detailed
estimate for the xyon mass and find that it is naturally in the multi-TeV
region. We study general properties of xyons, including their lifetime, and
study their collider signatures. A generic signature is highly ionizing tracks
caused by stable charged bound states of xyons, which may be observed at the
LHC. We also consider cosmology in our scenario and find that a consistent
picture can be obtained. Our framework is general and does not depend on the
detailed structure of the Higgs sector, nor on the mechanism of gaugino mass
generation.Comment: 53 pages, 7 figure

### Extension of gage calibration study in extreme high vacuum /orbitron and magnetron studies/

Orbitron and magnetron studies for gauge calibration in extreme high vacuu

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