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Self-assembled structures are possible solutions to the problem of increasingthe density and connectivity of memristive units in massive arrays. Althoughthey would allow surpassing the limit imposed by the lithographic feature size,the spontaneous formation of highly interconnected networks poses a newchallenge: how to characterize and control the obtained assemblies. In view ofa flourishing field of such experimental realizations, this study explores thecollective electrical response of simulated memristive units when assembled ingeometrically organized and progressively distorted configurations. We showthat highly idealized memristive arrays already display a degree of complexitythat needs to be taken into account when characterizing self-assemblies to betechnologically exploited. Moreover, the introduction of simple distortions hasa considerable impact on the available resistance states and their evolutionupon cycling. Considering arrays of a limited size, we also demonstrate thatthe collective response resembles aspects of the individual model while alsorevealing its own phenomenology.

Collective electrical response of simulated memristive arrays using SPICE