Steady current non-linear phenomena connected with a dependence of con
ductivity tensor components on self magnetic held of Hall drift have b
een investigated in aluminum. Strong Hall drift has been arranged by a
pplying of cylinder conductor geometry, transport current being made t
o flow between inner and outer concentric contacts. Self magnetic fiel
d and resistivity are studied as a function of external field and tran
sport current. The role of dispersion law anisotropy and elongated ele
ctron orbits are analysed by the method of orientation averaging of co
nductivity tensor.