Electron-hole collisions mediated by their Coulomb attraction are simu
lated for discrete hopping systems in the presence of a high electric
field E. The collision cross section S is found to be field-dependent
and sensitive to transport anisotropy. For microscopically isotropic s
ystems S is well represented by S-E = 4 pi e/epsilon E, following From
the Langevin recombination theory, For anisotropic systems it is demo
nstrated that S can be much larger or smaller than S-E for current flo
w along the direction with the smaller or larger mobility, respectivel
y. This effect is found to arise even in nominally isotropic systems b
ecause of the field-induced mobility anisotropy. Disorder, however, te
nds effectively to decrease the apparent degree of anisotropy.