Linear stability of ideal MHD configurations. II. Results for stationary equilibrium configurations

Non-ideal MHD ballooning modes in three-dimensional configurations

A linear stability theory of non-ideal MHD ballooning modes is investigated using a two fluid model for arbitrary three-dimensional electron-ion plasmas. Resistive-inertia ballooning mode (RIBM) eigenvalues and eigenfunctions are calculated for a variety of equilibria including axisymmetric shifted circular geometry (s − α model) and configurations of interest to the Helically Symmetric Stellar...

Equilibrium configurations of fluids and their stability in higher dimensions

We study equilibrium shapes, stability and possible bifurcation diagrams of fluids in higher dimensions, held together by either surface tension or self-gravity. We consider the equilibrium shape and stability problem of self-gravitating spheroids, establishing the formalism to generalize the MacLaurin sequence to higher dimensions. We show that such simple models, of interest on their own, als...

Equilibrium configurations of defective crystals

Equilibrium configurations of tripolar charges

It is shown that an ensemble of particles with tripolar (colour) charges will necessarily cohere in a hierarchy of structures, from simple clusters and strings to complex aggregates and cyclic moleculelike structures. The basic combinatoric rule remains essentially the same on different levels of the hierarchy, thus leading to a pattern of resemblance between different levels. The number of pri...

Equilibrium Configurations for a Territorial Model

We consider a territorial model based on Voronoi tessellations, which form a partition of a planar region by enclosing each agent in a polygon such that every point within the polygon is closest to that agent instead of any other. Equilibria for this model correspond to centroidal Voronoi tessellations. For rectangular domains and for small population sizes, we show that there can be distinct c...