Novel flux solutions in nonlinear conducting continuum systems with negative dynamic resistance

A nonlinear conducting continuum system with a negative dynamic resistance is studied. The metastable solutions to Maxwell's equations are proposed to consist of narrow fluxes of currents and their properties are discussed. In systems containing pinning impurities an array of fluxes appears and a critical external density is found, above and below which the system's behaviour is governed by the interaction and the dissipation, respectively. The size dependence of this critical value is found to be nontrivial.