G. Hupper et al., COMPLEX SPATIOTEMPORAL DYNAMICS OF CURRENT FILAMENTS IN CROSSED ELECTRIC AND MAGNETIC-FIELDS, Physical review. B, Condensed matter, 48(23), 1993, pp. 17633-17636
We propose a novel model for the nonlinear dynamics of spatiotemporal
patterns in semiconductors with negative differential conductivity und
er the influence of a transverse magnetic field. Dielectric relaxation
of both the applied electric field and the Hall field combined with t
he generation-recombination kinetics of the carriers obtained from a M
onte Carlo simulation induces a transverse motion of the current filam
ents and complex sequences of nucleation, traveling, and destruction o
f filaments which result in chaotic current and voltage oscillations.