The method of adiabatic acceleration of electron beams is presented and the
connection between the form of the accelerating potential and the length o
f the accelerator is investigated. Numerical simulations of the acceleratio
n process have been performed using a molecular dynamics approach. The infl
uence of the adiabaticity on the longitudinal temperature and the shape of
the longitudinal velocity distribution are examined. (C) 2000 Elsevier Scie
nce B.V. All rights reserved.