Gardens of Eden in systems of bistable nanoscopic wires

Garden of Eden (GoE) is the nickname of an irreproducible state, which can appear only as an initial configuration, and not as a result of time evolution. Here we investigate GoEs in systems of bistable nanoscopic wires, which interact magnetostatically. The wires are randomly distributed on a square lattice, with their directions parallel (Nx wires) or perpendicular (Ny=N−Nx wires) to the applied magnetic field. The results are presented on the statistics of GoEs, as dependent on Nx. As a rule, most GoEs appear when Nx is close to Ny. Also, most GoEs include many wires parallel to the field and/or a few wires perpendicular to the field. The results can be useful for modelling safety devices. - Highlights: ► Hysteresis loops of sets of magnetostatically interacting nanoscopic wires are simulated. ► Statistics is gathered on appearance of configurations which cannot be obtained in the hysteresis experiments. ► An application is proposed for safety systems.