Just as fermion zero modes can alter the degeneracy and quantum numbers of a soliton, fermion energies can affect the form and stability of a nontopological soliton. We discuss the kink in a two-dimensional linear sigma model, and show that, when coupled to fermions, the kink is no longer an extremum of the energy functional. The kink in this model possesses many similarities to the electroweak...

The dynamics of a kink driven by noise is analyzed using the two collective variables of the Rice ansatz: position and width. Starting from a stochastic partial differential equation, with the phi(4) potential in the overdamped limit, the pair of stochastic differential equations for the collective variables are derived without approximation other than the ansatz itself. From the steady state p...

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We have investigated the characteristics of the current concentration which develops when an unstable line-tied coronal loop is driven by an ideal kink instability towards a secondary bifurcated magnetohydrodynamic (MHD) equilibrium. Using fully three dimensional MHD simulations in cylindrical geometry, the main results indicate an algebraic linear-like dependence of the thickness and amplitude...

[1] We extend an elastodynamic finite element method to incorporate off-fault plastic yielding into a dynamic earthquake rupture model. We simulate rupture for models of faults with a kink (a sharp change in fault strike), examining how off-fault plastic yielding affects rupture propagation, seismic radiation, and near-fault strain distribution. We find that high-frequency radiation from a kink...

Fracture toughness resistance curves describe a material's resistance against crack propagation. These curves are often used to characterize biomaterials like bone, nacre or dentin as these materials commonly exhibit a pronounced increase in fracture toughness with crack extension due to co-acting mechanisms such as crack bridging, crack deflection and microcracking. The knowledge of appropriat...

We demonstrate analytically and numerically that the impurity mode plays a very important role in the kink scattering by a local inhomogeneity, and a sine-Gordon kink may be trapped by an impurity due to loss of its kinetic energy to excite the impurity mode. We develop a collective-coordinate approach to describe the kink—impurity interactions and calculate the threshold velocity ofkink captur...

ABSTRACT Relativistic AGN (active galactic nucleus) jets exhibit multitime-scale variability and a broad-band non-thermal spectrum extending from radio to gamma-rays. These highly magnetized are prone undergo several magnetohydrodynamic (MHD) instabilities during their propagation in space could trigger jet radiation particle acceleration. This work aims study the implications of relativistic k...

The first experimental demonstration of active feedback suppression of rotating external kink modes near the ideal wall limit in a tokamak using Kalman filtering to discriminate the n = 1 kink mode from background noise is presented [1]. The Kalman filter contains a model that captures the dynamics of a rotating, growing n = 1 kink mode. Suppression of the external kink mode is demonstrated usi...