Zonostrophic instability driven by discrete particle noise

The consequences of discrete particle noise for a system possessing a possibly unstable collective mode are discussed. It is argued that a zonostrophic instability (of homogeneous turbulence to the formation of zonal flows) occurs just below the threshold for linear instability. The scenario provides a new interpretation of the random forcing that is ubiquitously invoked in stochastic models such as the second-order cumulant expansion or stochastic structural instability theory; neither intrinsic turbulence nor coupling to extrinsic turbulence is required. A representative calculation of the zonostrophic neutral curve is made for a simple two-field model of toroidal ion-temperature-gradient-driven modes. To the extent that the damping of zonal flows is controlled by the ion-ion collision rate, the point of zonostrophic instability is independent of that rate

Reduced-order model based feedback control of the modified Hasegawa-Wakatani model

In this work, the development of model-based feedback control that stabilizes an unstable equilibrium is obtained for the Modified Hasegawa-Wakatani (MHW) equations, a classic model in plasma turbulence. First, a balanced truncation (a model reduction technique that has proven successful in flow control design problems) is applied to obtain a low dimensional model of the linearized MHW equation. Then, a model-based feedback controller is designed for the reduced order model using linear quadratic regulators. Finally, a linear quadratic Gaussian controller which is more resistant to disturbances is deduced. The controller is applied on the non-reduced, nonlinear MHW equations to stabilize the equilibrium and suppress the transition to drift-wave induced turbulence

Antimetabolite-Augmented Trabeculectomy Combined with Cataract Extraction for the Treatment of Cataract and Glaucoma

Cairns first described glaucoma filtration surgery for the treatment of glaucoma in 1968.1 The main aim of the operation, as he described it, was to improve the drainage of aqueous into the canal of Schlemm, hence the name trabeculectomy. Interestingly, the formation of a drainage bleb following the surgery was initially regarded as a failure. It was not until subsequent studies showed improved effectiveness in the presence of a drainage bleb 2 that the idea of surgically creating a diversion of aqueous to the sub-Tenon's space became the goal of the procedure. © 2009 Springer-Verlag New York