The formation of complex spatial distributions of the electric current
in high-resistivity zinc-doped silicon has been studied. These distri
butions were obtained employing a system formed by the semiconductor a
nd a discharge gap. Instabilities of spatially nonuniform distribution
s resulting in the formation of multiple current filaments with increa
sing voltage above the critical value have been observed. The resultan
t distributions were visualized using a thin gas-discharge gap distrib
uted along the cross section of a sample. Under the experimental condi
tions the discharge gap played only a passive role and was not respons
ible for the appearance of the electric-current structures. All the cu
rrent filaments were identical and their transverse cross sections wer
e complex because of the crystal symmetry. A system containing filamen
ts exhibited a hysteresis of the global current-voltage characteristic
and multistability of the total current. In the range of existence of
the filaments the total current was approximately proportional to the
cube of the electric field in the sample. These observations were exp
lained phenomenologically by activator-inhibitor models describing the
formation of structures in distributed active media characterized by
diffusion. The preliminary experimental data led to the suggestion tha
t the activation stage of the filamentation of the current was the res
ult of double injection of carriers into the bulk of the sample, and t
hat the temperature of the sample acted as an inhibitor of this proces
s.