Because of two 3σ anomalies, the Standard Model (SM) fit of the precision electroweak data has a poor confidence level, CL = 0.02. Since both anomalies involve challenging systematic issues, it might appear that the SM could still be valid if the anomalies resulted from underestimated systematic error. Indeed the CL of the global fit could then increase to 0.71, but that fit predicts a small Hi...

A higher-order Godunov method for the radiation subsystem of radiation hydro-dynamics is presented. A key ingredient of the method is the direct coupling of stiff source term effects to the hyperbolic structure of the system of conservation laws; it is composed of a predictor step that is based on Duhamel's principle and a corrector step that is based on Picard iteration. The method is second-o...

Arrays of coupled limit-cycle oscillators represent a paradigmatic example for studying synchronization and pattern formation. We find that the full dynamical equations for the phase dynamics of a limit-cycle oscillator array go beyond previously studied Kuramoto-type equations. We analyze the evolution of the phase field in a two-dimensional array and obtain a "phase diagram" for the resulting...

We consider a physical system which is coupled indirectly to a Markovian resevoir through an oscillator mode. This is the case, for example, in the usual model of an atomic sample in a leaky optical cavity which is ubiquitous in quantum optics. In the strong coupling limit the oscillator can be eliminated entirely from the model, leaving an effective direct coupling between the system and the r...

Submit Manuscript | http://medcraveonline.com Abbreviations: SCs: Synthetic Cannabinoids; Δ-9-THC: Delta9-TetraHydraCannabinol; UHPLC: Ultra High Performance Liquid Chromatography; DAD: Photodiode Array; MS: Mass Spectrometry. GC: Gas Chromatography; DART: Direct Analysis in Real Time; TOF: Time of Flight Spectrometry; NMR: Nuclear Magnetic Resonance; ATR: Attenuated Total Resonance; FTIR: Four...

We consider the median of n independent Brownian motions, denoted byMn(t), and show that √ nMn converges weakly to a centered Gaussian process. The chief difficulty is establishing tightness, which is proved through direct estimates on the increments of the median process. An explicit formula is given for the covariance function of the limit process. The limit process is also shown to be Hölder...

By a direct resummation of perturbation theory in the limit of very high energy and small transferred momentum (the so–called “eikonal” limit), we derive expressions for the truncated–connected quark, antiquark and gluon propagators in an external gluon field, both for scalar and fermion gauge theories. These are the basic ingredients to derive “soft” high–energy parton–parton scattering amplit...

We demonstrate a classical equivalence between the large-N limit of the Higgsed N = 1 * SUSY U (N) Yang-Mills theory and the Maldacena-Núñez twisted compactification of a six dimensional gauge theory on a two-sphere. A direct comparison of the actions and spectra of the two theories reveals them to be identical. We also propose a gauge theory limit which should describe the corresponding spheri...

An autonomous system of three coupled nonlinear oscillators with widely separated frequencies is investigated using the method of direct partition of motion (DPM). Approximate expressions for two of the limit cycle oscillations are presented in terms of Jacobi elliptic functions whose amplitude and frequency depend on the coupling parameters. Critical values for the coupling parameters were fou...

Intersymbol interference in direct detection optical systems can limit the channel spacing in frequency division multiplexing systems, and limit data rates and transmission distances in long distance transmission systems. We present minimum mean-square-error electrical filters to compensate for optical intersymbol interference. The performance of these filters is compared with a matched filter ...