COMPLEX SPATIOTEMPORAL DYNAMICS OF CURRENT FILAMENTS IN CROSSED ELECTRIC AND MAGNETIC-FIELDS

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.