Fluxon Dynamics in Boundary Driven Josephson Transmission Line

Analysis of the different stationary states of a boundary driven Frenkel-Kontorova Model and the associated sine-Gordon equation shows the existence a new regime that can be represented by a kink (fluxon) motion back and forth in the restricted geometry. This dynamics is produced by driving the system at one end at a given frequency. As a consequence our result suggests the conception of a device which could switch to the conducting regime not according to intensity range but rather to given (quantized) frequency range. Moreover our findings indicate also a frequency converting scenario by choosing appropriately the system length and injected fluxon number.