Linear stability analysis is performed for the onset of thermosolutal convection in a horizontal fluid layer with rigid-rigid boundaries. The temperature field between the walls of the fluid layer consists of two parts: a steady part and a time-dependent periodic part that oscillates with time. Only infinitesimal disturbances are considered. The effect of temperature modulation on the onset of ...

Rayleigh-scattering cross sections and volume-scattering coefficients are computed for standard air; they incorporate the variation of the depolarization factor with wavelength. Rayleigh optical depths are then calculated for the 1962 U.S. Standard Atmosphere and for five supplementary models. Analytic formulas are derived for each of the parameters listed. The new optical depths can be 1.3% lo...

In this paper, a constant total system’s allocated bandwidth hybrid direct-sequence/fast frequency hopping code-division multiple-access (DS/FFH-CDMA) cellular system, when operating in a Rayleigh fading environment, is examined. The described analysis leads to a novel-closed form expression for the probability density function (pdf) of the channel capacity per user, which relates the pdf of th...

In this lecture we introduce hyperbolic and real stable polynomials as natural generalization of real-rootedness to multivariate polynomials. Then, we define strongly Rayleigh distributions as probability distribution whose generating function is a real stable polynomial. We will see that this is a generalization of random spanning tree distributions and determinantal distributions. We will fin...

The dependence on stress of the low frequency Young’s modulus and mechanical losses of unpoled ferroelectric ceramics has been studied as a function of temperature. The Young’s modulus of unpoled Pb(Zr,Ti)O3 ~PZT! showed a Rayleigh type dependence, analogous to the one already described for the longitudinal piezoelectric coefficient. This has been associated to ferroelectric/ ferroelastic domai...

The polarization-resolved electric field autocorrelation function for p-order scattering was derived from the order-of-scattering solution of the exact equations for electromagnetic multiple Rayleigh scattering and was calculated for 2 </= p </= 6 for particles undergoing diffusive motion in an idealized sample cell. It was found that the polarization-channel and the scattering-angle dependence...

We study shallow moist Rayleigh–Bénard convection in the Boussinesq approximation in three-dimensional direct numerical simulations. The thermodynamics of phase changes is approximated by a piecewise linear equation of state close to the phase boundary. The impact of phase changes on the turbulent fluctuations and the transfer of buoyancy through the layer is discussed as a function of the Rayl...

We consider a horizontal fluid layer between two rigid boundaries, maintained in a stationary thermal nonequilibrium state below the convective Rayleigh-Bénard instability. We derive an explicit expression for the nonequilibrium structure factor in a first-order Galerkin approximation valid for negative and positive Rayleigh numbers R up to the critical Rayleigh number R(c) associated with the ...

The purposes of this study are to estimate the scale parameter invers Rayleigh distribution under MLE, Bayesian Generalized square error loss function (SELF), and LINEX . posterior is considered use two types prior, namely Jeffrey’s prior exponential distribution. proposed methods then employed in real data. Several criteria AIC, AICc, BIC for selection model order identify method which results...

[1] At the temperatures and stresses associated with the onset of convection in an ice I shell of the Galilean satellites, ice behaves as a non-Newtonian fluid with a viscosity that depends on both temperature and strain rate. The convective stability of a non-Newtonian ice shell can be judged by comparing the Rayleigh number of the shell to a critical value. Previous studies suggest that the c...