G. Joyce et al., ELECTROSTATIC PARTICLE-IN-CELL SIMULATION TECHNIQUE FOR QUASI-NEUTRALPLASMA, Journal of computational physics, 138(2), 1997, pp. 540-562
We have developed a simulation method with both electrons and ions rep
resented as particles-in-cell, In which the electrostatic field is det
ermined from the requirement of quasineutrality rather than from Poiss
on's equation. This approach permits self-consistent calculation of th
e potential, in quasineutral situations where statistical fluctuations
in the charge density frustrate the use of Poisson's equation. Time s
teps may be orders of magnitude longer than the plasma period, and mes
h cells orders or magnitude longer than the Debye length, since electr
on plasma oscillations do not appear in the model and the Debye length
is essentially set to zero. The simulation technique correctly repres
ents kinetic features such as electron and ion Landau damping. The met
hod is demonstrated by application to several simple test problems, in
cluding free expansion of a plasma, and linear and nonlinear ion sound
. In the case of a plasma with strongly magnetized electrons, we apply
the technique to determine the parallel electric field and parallel t
ransport within the plasma. Quasineutral techniques for representing c
ross-held transport. and edge effects in bounded plasmas, will be disc
ussed in subsequent publications. (C) 1997 Academic Press.