Onset of self-organized critical state in a one-dimensional multijunction SQUID as a result of random arrangement of junctions

The critical state of a one-dimensional multijunction SQUID with randomly distributed junctions exposed to a slowly varying magnetic field is studied. It is shown that a small scatter of interjunction distances is sufficient for the critical state of the system to become self-organized. A simplified and basically new model is proposed for studying the self-organization in a system where this phenomenon occurs in a fully deterministic situation.