Helicons in Unbounded Plasmas

Helicons in Weyl semimetals

Helicons—The Past Decade

First observed in gaseous plasmas in the early 1960’s, helicon discharges lay like a sleeping giant until they emerged in the 1980’s, when their usefulness as efficient plasma sources for processing microelectronic circuits for the burgeoning semiconductor industry became recognized. Research on helicons spread to many countries; new, challenging, unexpected problems arose, and these have spawn...

Equilibrium theory of cylindrical discharges with special application to helicons

Radiofrequency discharges used in industry often have centrally peaked plasma density profiles n(r) although ionization is localized at the edge, even in the presence of a dc magnetic field. This can be explained with a simple cylindrical model in one dimension as long as the short-circuit effect at the endplates causes a Maxwellian electron distribution. Surprisingly, a universal profile can b...

Some results about unbounded convergences in Banach lattices

Suppose E is a Banach lattice. A net  in E is said to be unbounded absolute weak convergent ( uaw-convergent, for short) to  provided that the net  convergences to zero, weakly.  In this note, we further investigate unbounded absolute weak convergence in E. We show that this convergence is stable under passing to and   from ideals and sublattices. Compatible with un-convergenc, we show that ...

Unbounded Nondeterminism in CSP

We extend the failures/divergences model for CSP to include a component of infinite traces. This allows us to give a denotational semantics for a version of CSP including general nondeterministic choice and infinite hiding. Unfortunately the model is an incomplete partial order, so it is by no means obvious that the necessary fixed points exist. We have two proofs of this result, one via a cong...