Stochastic cooling
Abstract
Stochastic cooling is the damping of betratron oscillations and momentum spread of a particle beam by a feedback system. In its simplest form, a pickup electrode detects the transverse positions or momenta of particles in a storage ring, and the signal produced is amplified and applied downstream to a kicker. The time delay of the cable and electronics is designed to match the transit time of particles along the arc of the storage ring between the pickup and kicker so that an individual particle receives the amplified version of the signal it produced at the pick up. If there were only a single particle in the ring, it is obvious that betratron oscillations and momentum offset could be damped. However, in addition to its own signal, a particle receives signals from other beam particles. In the limit of a infinite number of particles, no damping could be achieved; although there is Liouville's theorem with constant density of the phase space fluid.
 Publication:

Presented at the Summer School on High Energy Particle Accelerators
 Pub Date:
 March 1982
 Bibcode:
 1982hepa.conf.....B
 Keywords:

 Betatrons;
 Cooling;
 Feedback Control;
 Oscillations;
 Particle Beams;
 Stochastic Processes;
 Antiprotons;
 Kinetic Equations;
 Liouville Theorem;
 Schottky Diodes;
 Fluid Mechanics and Heat Transfer