We perform a study on Rayleigh scattering of highly linearly polarized hard x rays thin Au foil target. In the angular distribution scattered radiation is analyzed in relativistic regime both within and out plane polarization incident beam. Within this experiment we scatter synchrotron beam with photon energy 175 keV high-$Z$ target foil, namely, gold. Our findings correlate well state-of-the-a...

LLE Review, Volume 79 149 In the direct-drive approach to inertial confinement fusion (ICF), capsules are irradiated directly by a large number of symmetrically arranged laser beams.1,2 Nonuniformities in the laser irradiation may seed the Rayleigh–Taylor hydrodynamic instability, which degrades target performance;3 therefore, a combination of beam-smoothing techniques is employed to achieve th...

We study in this article the bifurcation and stability of the solutions of the Boussinesq equations, and the onset of the Rayleigh-Bénard convection. A nonlinear theory for this problem is established in this article using a new notion of bifurcation called attractor bifurcation and its corresponding theorem developed recently by the authors in [6]. This theory includes the following three aspe...

In a classical paper Plesset has determined conditions under which a bubble changing in volume maintains a spherical shape. The stability analysis was further developed by Prosperetti to include the effects of liquid viscosity on the evolving shape modes. In the present work the theory is further modified to include the changing density of the bubble contents. The latter is found to be importan...

The deformation eld commonly used for Euler-Bernoulli beams in structural dynamics is investigated to determine its suitability for use in exible multibody dynamics. It is found that the traditional deformation eld fails to produce an elastic rotation matrix that is complete to second order in the deformation variables. A complete second-order deformation eld is proposed along with the equation...

The Rayleigh-Bénard theory by Grossmann and Lohse [J. Fluid Mech. 407, 27 (2000)] is extended towards very large Prandtl numbers Pr. The Nusselt number Nu is found here to be independent of Pr. However, for fixed Rayleigh numbers Ra a maximum in the Nu(Pr) dependence is predicted. We moreover offer the full functional dependences of Nu(Ra,Pr) and Re(Ra,Pr) within this extended theory, rather th...

Abstract In this paper we study the propagation of structured optical scalar beams in a Lorentz-violating (LV) vacuum parametrized by constant 4-vector $u^{\mu}$ and presence semi-transparent mirror. The two bosonic degrees freedom electromagnetic field can be described LV extension massless theory, whose part is characterized term $(u \cdot \partial \phi ) ^{2}$. mirror at surface $\Sigma$ mod...

Pareto-Rayleigh (PR) distribution (a member of Pareto-X family proposed in [1]) is considered here to study. The estimated values the model parameters are derived by maximum likelihood estimation process. Different important properties introduced obtained. Four real-life applications studied from various fields evaluate applicability PR model. An exclusive simulation has been conducted observe ...