The ion dynamics in the distant Earth's magnetotail is studied in the
case that a cross tail, electric field Eo and reconnection-driven magn
etic turbulence are present in the neutral sheet. The magnetic turbule
nce observed by the Geotail spacecraft is modeled numerically by a pow
er law magnetic fluctuation spectrum. The magnetic fluctuations have t
he tearing mode parity with respect to the neutral sheet and are super
imposed on a modified Harris sheet. A test particle simulation is perf
ormed for the ions, and the particle-density, current density, bulk ve
locity, temperature, pressure, and heat flux are obtained for every po
int in the distant tail and as a function of the magnetic fluctuation
level, delta B/B-0. It appears that the magnetic. turbulence is very e
ffective in maintaining the stationary structure of the current sheet
and in changing the ion acceleration due to the electric field to ther
mal motion. Also, magnetic turbulence can inflate the current carrying
region up to a thick current sheet, in contrast with the often assume
d thin current sheet. The values obtained for the ion temperature are
consistent with those observed in the distant tail by the Geotail spac
ecraft. The main results are the following: (1) the thickness of the c
urrent sheet increases with the level of fluctuations. The thickness l
ambda corresponding to the average magnetic field current profile is o
btained for delta B/B-0 similar or equal to 0.3. (2) The magnetic pres
sure outside the current sheet is balanced by particle pressure for de
lta B/B-0 similar or equal to 0.3. This is obtained mostly by an incre
ase in the temperature, while the density profile is not much peaked i
n the neutral sheet. (3) For low fluctuation levels, heating is anisot
ropic, most heating going into the y direction; increasing delta B/B-0
and making reference to the local magnetic held, more heating goes in
the parallel rather than in the perpendicular direction, in agreement
with part of the observations. (4) A possible splitting of the bulk v
elocity and of the current density in two sheets is obtained for delta
B/B-0, 0.2. In general, a relevant level of magnetic turbulence, like
delta B/B-0 similar or equal to 0.3, appears to be a basic ingredient
of the distant magnetotail equilibrium structure.