The energy loss of heavy ions in a strongly magnetized plasma is studi
ed by means of Vlasov and Particle-in-Cell (PIC) simulations. The topi
c is of importance for many practical applications, as for example in
the electron cooling of heavy ion beams. Measurements of the longitudi
nal cooling force show strong deviations from the well known linear th
eories. Moreover, the possibility of heavy ions to reach high charge s
tates Z(p) increases the interest in understanding the plasma regime w
ith coupling parameter Z(p)/N-D>1 (N-D is the number of electrons in a
Debye sphere), when nonlinear phenomena are important. In this regime
a linearization of the drift kinetic Vlasov-Poisson system is not pos
sible, so that a fully nonlinear numerical approach is unavoidable. Co
mparisons between the two numerical schemes are made for the stopping
power and the potential created in the plasma by a moving ion, togethe
r with the dielectric theory of ion stopping. Our results show strong
deviations from the dielectric theory, and our investigations show the
importance of the role played by the electrons trapped in the potenti
al troughs excited by the ion in the stopping process. (C) 1996 Americ
an Institute of Physics.