Escape patterns of chaotic magnetic field lines in a tokamak with reversed magnetic shear and an ergodic limiter

The existence of a reversed magnetic shear in tokamaks improves the plasma confinement through the formation of internal transport barriers that reduce radial particle and heat transport. However, the transport poloidal profile is much influenced by the presence of chaotic magnetic field lines at the plasma edge caused by external perturbations. Contrary to many expectations, it has been observed that such a chaotic region does not uniformize heat and particle deposition on the inner tokamak wall. The deposition is characterized instead by structured patterns called magnetic footprints, here investigated for a nonmonotonic analytical plasma equilibrium perturbed by an ergodic limiter. The magnetic footprints appear due to the underlying mathematical skeleton of chaotic magnetic field lines determined by the manifold tangles. For the investigated edge safety factor ranges, these effects on the wall are associated with the field line stickiness and escape channels due to internal island chains near the flux surfaces. Comparisons between magnetic footprints and escape basins from different equilibrium and ergodic limiter characteristic parameters show that highly concentrated magnetic footprints can be avoided by properly choosing these parameters. (c) 2008 American Institute of Physics.

Electrostatic turbulence driven by high magnetohydrodynamic activity in Tokamak Chauffage Alfven Bresilien

In Tokamak Chauffage Alfven Bresilien [R. M. O. Galvao , Plasma Phys. Controlled Fusion 43, 1181 (2001)], high magnetohydrodynamic (MHD) activity may appear spontaneously or during discharges with a voltage biased electrode inserted at the plasma edge. The turbulent electrostatic fluctuations, measured by Langmuir probes, are modulated by Mirnov oscillations presenting a dominant peak with a common frequency around 10 kHz. We report the occurrence of phase locking of the turbulent potential fluctuations driven by MHD activity at this frequency. Using wavelet cross-spectral analysis, we characterized the phase and frequency synchronization in the plasma edge region. We introduced an order parameter to characterize the radial dependence of the phase-locking intensity. (c) 2008 American Institute of Physics.

Horizontal alliances amongst small retailers in Brazil

Purpose - Application of the horizontal alliance paradigm has particularly relevance to small retailers. It is a powerful mechanism for independents and non-integrated chain retailers to develop competitive advantage, maintaining and improving their performance. The purpose of this article is to analyse the theory of alliance in the context of the retail sector. Design/methodology/approach - Both quantitative and qualitative research was carried out with horizontal retail alliances in Brazil. Findings - Focusing on the alliances among independents and non-integrated chain retailers, our discussion covers specifically the following issues: the reasons for forming a strategic alliance in retail; minimum criteria for the alliance activity amongst retailers; steps that managers must take to create a competitive retail alliance; critical core competencies to be developed on the retail alliance; types of retail alliances; and, finally, forms of strategic retail alliances and stages/steps to develop a retail alliance over time. Research limitations/implications - The study considers horizontal alliances in a Brazilian retail context, which is in some ways unique, however, key principles and findings are very much transferable. Practical implications/implications - The study is of value not only to researchers of retail horizontal alliances, but offers retail practitioners specific experience and guidance. Originality/value - It was identified from the literature that there have been relatively few theoretical and practical studies available that analyse the relationship between the outlined themes concerned with alliances and small retailers. The discussion in our paper provides useful information and new insights to both academics and practitioners.

Transport control in fusion plasmas by changing electric and magnetic field spatial profiles

For magnetically confined plasmas in tokamaks, we have numerically investigated how Lagrangian chaos at the plasma edge affects the plasma confinement. Initially, we have considered the chaotic motion of particles in an equilibrium electric field with a monotonic radial profile perturbed by drift waves. We have showed that an effective transport barrier may be created at the plasma edge by modifying the electric field radial profile. In the second place, we have obtained escape patterns and magnetic footprints of chaotic magnetic field lines in the region near a tokamak wall with resonant modes due to the action of an ergodic magnetic limiter. For monotonic plasma current density profiles we have obtained distributions of field line connections to the wall and line escape channels with the same spatial pattern as the magnetic footprints on the tokamak walls. (c) 2008 Elsevier B.V. All rights reserved.