Collective space charge effects play an important role in intense unneutral ized beams of non relativistic heavy ions, which are of interest in recently proposed high-current accelerators (such as drivers for inertial confinement fusion etc.). Of particular importance is the propagation of wave-like perturbations including the destabilizing effect of dissipation due to finite electrical conduct...

In order to obtain high luminosity and energy efficiency in future linear colliders, it is desirable to accelerate a train of closely spaced bunches on each rf pulse of the machine. There can be severe multibunch beam break-up in such a collider unless some means of strongly suppressing the transverse wakefield is incorporated into the design of the accelerating structures. Two methods of wakef...

This paper is concerned with the controllability problem for higher-order fractional damped stochastic systems multiple delays, which involves Caputo derivatives of any different orders. In process proof, we have proposed considered linear system by establishing a Grammian matrix and employing control function. Sufficient conditions nonlinear to be controllable been derived constructing proper ...

The Vlasov-Maxwell equations are used to investigate properties of the electron-ion two-stream instability for a continuous, high-intensity ion beam propagating in the zdirection with directed axial velocity Vb = βbc through a background population of (stationary) electrons. The analysis is carried out for arbitrary beam intensity, consistent with transverse confinement of the beam particles, a...

Collimation of the multi-MW beams in present linear collider designs is a critical issue. Graphite as a possible collimator material exhibits good mechanical properties but a rather poor electrical conductivity. The resulting resistive wakefields can potentially deteriorate the beam quality. The knowledge of strength and scalings of such wakefields is essential for the design of the collimation...

We get fractional symmetric Fokker Planck and Einstein Smoluchowski kinetic equations, which describe evolution of the systems influenced by stochastic forces distributed with stable probability laws. These equations generalize known kinetic equations of the Brownian motion theory and contain symmetric fractional derivatives over velocity and space, respectively. With the help of these equation...

The self-similarity of network traffic has been convincingly established based on detailed packet traces. This fundamental result promises the possibility of solving on-line and off-line traffic engineering problems using easily-collectible coarse time-scale data, such as SNMP measurements. This paper proposes a statistical model that supports predicting fine time-scale behavior of network traf...

Structural vibration can be reduced by shunting an attached piezoelectric transducer (PZT) with an electrical impedance. Current shunt circuit designs, e.g. a single-mode inductor–resistor network, typically require large inductance values of up to thousands of henries. In practice, discrete inductors are limited in size to around 1 H. By placing an additional capacitance across the terminals o...

1 SLAC National Accelerator Laboratory, Menlo Park, CA 94025 2 Brookhaven National Laboratory, Upton, NY 11973 3 Life Imaging Technology, Palo Alto, CA 94301 Abstract For the top-off operation it is important to understand the time evolution of charge injected into the storage ring. The large-amplitude horizontal oscillation quickly filaments and decoheres, and in some cases exhibits nonlinear...

The problem considered in this paper is one of damped vibrations of the beam in transportation. The dynamical analysis of systems in motion is a very well-known issue, but many detailed cases have not been published yet. The considered case is applied with the double-sided fixed beams placed on a rotational disk. The disk treated as a rigid one is rotated with a constant angular velocity in the...