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The boundary conditions of mass, momentum, energy, and charge appropriate for fluid formulations of edge plasmas are surveyed. We re-visit the classic problem of 1-dimensional flow, and note that the ''Bohm sheath criterion'' is requirement of connectivity of the interior plasma with the external world, not the result of termination of the plasma by a wall. We show that the nature of the interior plasma solution is intrinsically different for ion sources that inject above and below the electron sound speed. We survey the appropriate conditions to apply, and resultant fluxes, for a magnetic field obliquely incident on a wall, including the presence of drifts and radial transport. We discuss the consequences of toroidal asymmetries in wall properties, as well as experimental tests of such effects. Finally, we discuss boundary-condition modifications in the case of rapidly varying plasma conditions.

The status of coupling the fluid 3D turbulence code BOUT and the fluid plasma/neutral 2D transport code UEDGE is reported, where both codes simulate the edge region of diverted tokamaks from several cm inside the magnetic separatrix to the far scrape-off layer (SOL), thereby including the magnetic X-point. Because the characteristic time scale of the turbulence is short ({approx} 10{sup -5}-10{sup -4}s) and the profile evolution time scale can be long ({approx} 10{sup -2}-10{sup -1} s owing to recycling), an iterative scheme is used that relaxes the turbulent fluxes passed from BOUT to UEDGE and the profiles from UEDGE to BOUT over many coupling steps. Each code is run on its own characteristic time scale, yielding a statistically averaged steady state. For this initial study, the ion and neutral densities and parallel velocities are evolved, while the temperature profiles are stationary. Here the turbulence code is run in the electrostatic approximation. For this example of self-consistent coupling with strong L-mode-like turbulence, the ion flux to the main-chamber exceeds that to the divertor plates.

With the constant push to miniaturize existing technologies, there is an ever-increasing need to characterize smaller and smaller objects. X-rays have proven their usefulness for characterizing the internal structure of objects. However, standard x-ray imaging (i.e. projection radiography) methods are not ideally suited for high-resolution imaging of small objects. Lawrence Livermore National Laboratory is currently developing an x-ray microscope that uses high-efficiency reflective (Woelter Type I) optics for imaging millimeter-scale parts at resolutions of better than one micrometer. The optics use multilayer technology to increase the x-ray grazing angle, improving the efficiency of the optics. The Woelter [1] imaging optic focuses x-rays that exit the sample (object plane) onto a scintillator (image plane). The scintillator converts the x-rays into visible light, which can be detected and imaged with a CCD camera. Our optic has a magnification of twelve. The distance between the sample and scintillator is five meters. Figure 1 shows the schematic of the microscope. The Woelter optic consists of hyperbolic and elliptical reflective surfaces. This combination of reflective surfaces was first described by Woelter [1] in 1952. Although simple in concept, the fabrication of a high-quality imaging Woelter optic has proven to be difficult due to the tight …

Results of recent modeling of tokamak edge plasma with the turbulence code BOUT are presented. In previous studies with BOUT the background profiles of plasma density and temperature were set as flux surface functions. However in the divertor region of a tokamak the temperature is typically lower and density is higher than those at the mid-plane. To account for this in the present study a poloidal variation of background plasma density and temperature is included to provide a more realistic model. For poloidally uniform profiles of the background plasma the calculated turbulence amplitude peaks near outer mid-plane, while in the divertor region the amplitude is small. However, present simulations show that as the background plasma profiles become more poloidally non-uniform the amplitude of density fluctuations, {tilde n}{sub i}, starts peaking in the divertor. It is found that in the divertor region the amplitude of n{sub i} fluctuations grows approximately linearly with the local density of the background plasma, n{sub i0}, while the amplitude of T{sub e} and {phi} fluctuations is positively correlated with the local electron temperature, T{sub e0}. Correlation analysis shows that plasma turbulence is isolated by the x-points.

We report on a next-to-leading order QCD calculation of the cross section and the spin asymmetry for isolated large-p{sub T} prompt photon production in collisions of transversely polarized protons. Corresponding measurements may be used at RHIC to determine the transversity parton distributions of the proton.

An instability driven by an electron temperature gradient in combination with sheath boundary conditions at a divertor plate is considered. It is shown that there exists a mode localized between the divertor plate and the x point. Further propagation of the mode is terminated by a strong shear near the x point. A ''heuristic'' boundary condition at the control surface situated somewhat below the x point is suggested. The mode manifests a strong dependence on the radial tilt of the divertor plate, thereby providing some degree of control over the plasma transport in the divertor leg. Estimates of the diffusion coefficient show that it may reach the Bohm value.