Soliton Gas in Space-Charge Dominated Beams

Details Soliton Gas in Space-Charge Dominated Beams Soliton Gas in Space-Charge Dominated Beams

2003-09-23

arxiv.org/abs/nlin/0309062v1

New J. Phys., 6 (2004) 19

Nonlinear Sciences

Pattern Formation and Solitons

19 pages, No figures, Submitted to the New Journal of Physics

Scientific paper

10.1088/1367-2630/6/1/019

Based on the Vlasov-Maxwell equations describing the self-consistent nonlinear beam dynamics and collective processes, the evolution of an intense sheet beam propagating through a periodic focusing field has been studied. It has been shown that in the case of a beam with uniform phase space density the Vlasov-Maxwell equations can be replaced exactly by the hydrodynamic equations with a triple adiabatic pressure law coupled to the Maxwell equations. We further demonstrate that starting from the system of hydrodynamic and Maxwell equations a set of coupled nonlinear Schrodinger equations for the slowly varying amplitudes of density waves can be derived. In the case where a parametric resonance between a certain mode of density waves and the external focusing occurs, the slow evolution of the resonant amplitudes in the cold-beam limit is shown to be governed by a system of coupled Gross-Pitaevskii equations. Properties of the nonlinear Schrodinger equation as well as properties of the Gross-Pitaevskii equation are discussed, together with soliton and condensate formation in intense particle beams.

Affiliated with

Also associated with

No associations

Rating

Soliton Gas in Space-Charge Dominated Beams does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Soliton Gas in Space-Charge Dominated Beams, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Soliton Gas in Space-Charge Dominated Beams will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-182958