Lp Exponential Stability for the Equilibrium Solutions of the Navier-Stokes Equations

AbstractThe exponential stability of the solution of the Navier-Stokes equation in Lp, p > 2, p ≠ 3, in bounded domain is considered in this paper. Under some assumptions on the external force, it can be shown that the bounded solution of the Navier-Stokes equation with initial and boundary conditions approaches the stationary solution of the system exponentially when time t goes to infinite

Average kinetic energy of heavy quark (μπ2) inside heavy meson in 0− state by Bethe–Salpeter method

AbstractThe average kinetic energy of the heavy quark inside B or D meson is computed by means of the instantaneous Bethe–Salpeter method. We first solve the relativistic Salpeter equation and obtain the relativistic wave function and mass of 0− state, then we use the relativistic wave function to calculate the average kinetic energy of the heavy quark inside heavy meson of 0− state. We find that the relativistic corrections to the average kinetic energy of the heavy quark inside B or D meson are quite large and cannot be ignored. We estimate μ2π(=−λ1)≈0.24(B0,B±), 0.20(D0,D±), 0.33(Bs), 0.26(Ds), 0.83(Bc) and 0.62(ηc) GeV2

Transport spectroscopy in a time-modulated open quantum dot

We have investigated the time-modulated coherent quantum transport phenomena in a ballistic open quantum dot. The conductance $G$ and the electron dwell time in the dots are calculated by a time-dependent mode-matching method. Under high-frequency modulation, the traversing electrons are found to exhibit three types of resonant scatterings. They are intersideband scatterings: into quasibound states in the dots, into true bound states in the dots, and into quasibound states just beneath the subband threshold in the leads. Dip structures or fano structures in $G$ are their signatures. Our results show structures due to 2$\hbar\omega$ intersideband processes. At the above scattering resonances, we have estimated, according to our dwell time calculation, the number of round-trip scatterings that the traversing electrons undertake between the two dot openings.Comment: 8 pages, 5 figure

On the Lattice of Strong Radicals

AbstractIt is shown that the class of all strong radicals containing the prime radical is not a sublattice of the lattice of all radicals. This gives a negative answer to some questions of Sands and Puczylowski

The flux pinning force and vortex phase diagram of single crystal FeTe0.60Se0.40

The flux pinning force density (Fp) of the single crystalline FeTe0.60Se0.40 superconductor has been calculated from the magnetization measurements. The normalized Fp versus h (=H/Hirr) curves are scaled using the Dew-Hughes formula to underline the pinning mechanism in the compound. The obtained values of pinning parameters p and q indicate the vortex pinning by the mixing of the surface and the point core pinning of the normal centers. The vortex phase diagram has also been drawn for the first time for the FeTe0.60Se0.40, which has very high values of critical current density Jc ~ 1.10(5) Amp/cm2 and the upper critical field Hc2(0) = 65T, with a reasonably high transition temperature Tc =14.5K.Comment: 12 pages, 4 figure

The rare top quark decays t→cVt\to cV in the topcolor-assisted technicolor model

We consider the rare top quark decays in the framework of topcolor-assisted technicolor (TC2) model. We find that the contributions of top-pions and top-Higgs predicted by the TC2 model can enhance the SM branching ratios by as much as 6-9 orders of magnitude. i.e., in the most case, the orders of magnitude of branching ratios are $Br(t\to c g)\sim 10^{-5}$, $Br(t\to c Z)\sim 10^{-5}$, $Br(t\to c \gamma)\sim 10^{-7}$. With the reasonable values of the parameters in TC2 model, such rare top quark decays may be testable in the future experiments. So, rare top quark decays provide us a unique way to test TC2 model.Comment: 14 pages, 4 figure

Nano-constraints on the spatial anisotropy of the Gravitational Constant

We present constraints from various experimental data that limit any spatial anisotropy of the Gravitational constant to less than a part per billion or even smaller. This rules out with a wide margin the recently reported claim of a spatial anisotropy of G with a diurnal temporal signature.Comment: Standard LaTex, 7 page

Virtual Effects of Split SUSY in Higgs Productions at Linear Colliders

In split supersymmetry the gauginos and higgsinos are the only supersymmetric particles possibly accessible at foreseeable colliders like the CERN Large Hadron Collider (LHC) and the International Linear Collider (ILC). In order to account for the cosmic dark matter measured by WMAP, these gauginos and higgsinos are stringently constrained and could be explored at the colliders through their direct productions and/or virtual effects in some processes. The clean environment and high luminosity of the ILC render the virtual effects of percent level meaningful in unraveling the new physics effects. In this work we assume split supersymmetry and calculate the virtual effects of the WMAP-allowed gauginos and higgsinos in Higgs productions e+e- -> Z h and e+e- -> \nu_e \bar_\nu_e h through WW fusion at the ILC. We find that the production cross section of e+e- -> Zh can be altered by a few percent in some part of the WMAP-allowed parameter space, while the correction to the WW-fusion process e+e- -> \nu_e \bar_\nu_e h is below 1%. Such virtual effects are correlated with the cross sections of chargino pair productions and can offer complementary information in probing split supersymmetry at the colliders.Comment: more discussions added (7 pages, 10 figs

Decay Constants of Heavy Meson of 0−0^- State in Relativistic Salpeter Method

The decay constants of pseudoscalar heavy mesons of $0^-$ state are computed by means of the relativistic (instantaneous) Salpeter equation. We solved the full Salpeter equation without making any further approximation, such as ignoring the small component wave function. Therefore, our results for the decay constants include the complete relativistic contributions from the light and the heavy quarks. We obtain $F_{D_s} \approx 248 \pm 27$, $F_{D} \approx 230 \pm 25 (D^0,D^\pm)$, $F_{B_s} \approx 216 \pm 32$, $F_{B} \approx 196 \pm 29 (B^0,B^\pm)$, $F_{B_c} \approx 322 \pm 42$ and $F_{\eta_c} \approx 292 \pm 25$ MeV.Comment: 9 pages, 1 figur

Anti-Jo-1 Syndrome presenting as cryptogenic organizing pneumonia

AbstractA 50-year-old Chinese lady presented with subacute onset of dyspnoea, bilateral infiltrates on chest X-ray and type I respiratory failure. There were minor symptoms of arthralgia and myalgia. Subsequent investigations confirmed that she had organizing pneumonia, polymyositis and serum anti-Jo-1 antibody. Treatment with corticosteroids resulted in prompt improvement of the respiratory condition and myositis