title: Conducting-insulating transition in adiabatic memristive networks.
abstract: The development of neuromorphic systems based on memristive elements-resistors with memory-requires a fundamental understanding of their collective dynamics when organized in networks. Here, we study an experimentally inspired model of two-dimensional disordered memristive networks subject to a slowly ramped voltage and show that they undergo a discontinuous transition in the conductivity for sufficiently high values of memory, as quantified by the memristive ON-OFF ratio. We investigate the consequences of this transition for the memristive current-voltage characteristics both through simulation and theory, and demonstrate the role of current-voltage duality in relating forward and reverse switching processes. Our work sheds considerable light on the statistical properties of memristive networks that are presently studied both for unconventional computing and as models of neural networks.
authors.affiliation: Department of Physics, University of California San Diego, La Jolla, California 92093, USA.
authors.forename: Forrest C
authors.initials: FC
authors.lastname: Sheldon
authors.affiliation: Department of Physics, University of California San Diego, La Jolla, California 92093, USA.
authors.forename: Massimiliano
authors.initials: M
authors.lastname: Di Ventra