The kink instability is one of the major beam dynamics issues of the linac-ring based electron ion collider. This head-tail type instability arises from the oscillation of the electron beam inside the opposing ion beam. It must be suppressed to achieve the desired luminosity. There are various ways to suppress the instability, such as tuning the chromaticity in the ion ring or by a dedicated fe...

The ideal helical kink instability of a force-free coronal magnetic flux rope, anchored in the photosphere, is studied as a model for solar eruptions. Using the flux rope model of Titov & Démoulin (1999) as the initial condition in MHD simulations, both the development of helical shape and the rise profile of a confined (or failed) filament eruption (on 2002 May 27) are reproduced in excellent ...

Processes of the nucleation and motion of kinks, determining the dislocation mobilities in crystals with high Peierls barriers, are reviewed. Various mechanisms of an influence of point defects on the kink dynamics are analyzed. To demonstrate these mechanisms experimental data are presented obtained with two-level intermittent loading of Si, Ge, and bulk SiGe alloy single crystals. The instabi...

The gyrokinetic toroidal code (GTC) capability has been extended for simulating internal kink instability with kinetic effects in toroidal geometry. The global simulation domain covers the magnetic axis, which is necessary for simulating current-driven instabilities. GTC simulation in the fluid limit of the kink modes in cylindrical geometry is verified by benchmarking with a magnetohydrodynami...

An internal kink instability is observed to grow and saturate in a line-tied screw pinch plasma. Detailed measurements show that an ideal, line-tied kink mode begins growing when the safety factor q = (4pi2r2B(z))/(mu0I(p)(r)L) drops below 1 inside the plasma; the saturated state corresponds to a rotating helical equilibrium. In addition to the ideal mode, reconnection events are observed to pe...

In this paper, we investigate analytically and numerically the modulational instability in a model of nonlinear physical systems like nonlinear periodic lattices. This model is described by the discrete complex cubic quintic Ginzburg-Landau equation with non-local quintic term. We produce characteristics of the modulational instability in the form of typical dependences of the instability growt...

A recent two-dimensional prototype model for the initiation of kink banding in compressed layered structures is extended to embrace the two propagation mechanisms of band broadening and band progression. As well as interlayer friction, overburden pressure and layer bending energy, the characteristics of transverse layer compressibility and foundation stiffness are now included. Experiments on c...