1.
Phys Rev E Stat Nonlin Soft Matter Phys
; 69(6 Pt 2): 066501, 2004 Jun.
Article
in English
| MEDLINE
| ID: mdl-15244754
ABSTRACT
Within the framework of the thermal wave model, an investigation is made of the longitudinal dynamics of high-energy charged-particle beams. The model includes the nonlinear self-consistent interaction between the beam and its surroundings in terms of a coupling impedance, and when resistive as well as reactive parts are included, the evolution equation becomes a generalized nonlinear Schrödinger equation including a nonlocal nonlinear term. The consequences of the resistive part on the propagation of particle bunches are examined using analytical as well as numerical methods.