In this work we develop a theory of ballooning instability in the intermediate nonlinear regime for general magnetic configurations including tokamaks. The evolution equations for plasma filament growth induced by the ballooning instability are derived accounting for the dominant nonlinear effects in an ideal MHD description. The intermediate nonlinear regime of ballooning modes is defined by t...

Due to their central role in our classical intuition of the physical world and their potential for interacting with the gravitational field, mechanical degrees of freedom are of special interest in testing the nonclassical predictions of quantum theory at ever larger scales. The projection postulate of quantum theory predicts that, for certain types of measurements, continuously measuring a sys...

Progressive collapse is a chain reaction of failures propagating throughout a portion of the structure disproportionate to the original local failure occurring when a sudden loss of a critical load‐bearing element initiates a structural element failure, eventually resulting in partial or full collapse of the structure. Both General Services Administration (GSA) and United States Department of D...

This paper continues a study on Choptuik scaling in gravitational collapse of a massless complex scalar field at the threshold for black hole formation. We perform a linear perturbation analysis of the previously derived complex critical solution, and calculate the critical exponent for black hole mass, γ ≈ 0.387111 ± 0.000003. We also show that this critical solution is unstable via a growing ...

This paper addresses the problem of congestion control and fairness in relay systems for Connection Mode LAN/WAN interworking. To ensure congestion collapse avoidance and fairness against QoS parameters, a channel service algorithm and an acknowledgment algorithm are proposed and evaluated by simulations. Results show that, in a situation of overload and for different traffic patterns with diff...

The paper presents an analytical formulation of an element removal algorithm based on dynamic equilibrium and the resulting transient change in system kinematics. The algorithm is implemented into an open-source finite element code, is numerically validated using a benchmark problem with simple element removal criteria, and is able to capture the effect of uncertainty in member capacity. Realis...

We construct a one-parameter family of exact time-dependent solutions to 2+1 gravity with a negative cosmological constant and a massless minimally coupled scalar field as source. These solutions present a continuously self-similar (CSS) behavior near the central singularity, as observed in critical collapse, and an asymptotically AdS behavior at spatial infinity. We consider the linear perturb...

The collapse of laser-induced cavitation bubbles creates acoustic transients within the surrounding medium and also pressure impulses to the ablation target and light-delivery fiber during microsecond laser ablation. The impulses are investigated here with time-resolved flash photography, and they are found to occur whether or not the light-delivery fiber is in contact with the target. We demon...

It has recently been suggested that collapse of neutron stars induced by a phase transition to quark matter can be a considerable source of gravitational waves with kHz frequencies. We demonstrate that if about one percent of all neutron stars undergo this process, the resulting cosmological gravitational wave background would reach about 10 times the critical density. The background would peak...