Modellierung und Simulation memristiver Bauelemente und Systeme

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The project is devoted to the holistic modeling and simulation of memristive devices and systems. The addressed scientific questions span from the physics of real devices to the dynamics of memristive lumped circuits. Two groups of models which are treated disjunctly so far are identified, i.e., models with distributed parameters and models with concentrated parameters. The first groupdescribes both the spatial and temporal dynamics of the underlying physical transport mechanisms. The second group is limited to the temporal dynamics but is able to describe not only single devices but also more complex systems of devices. The goal of the project is to model and simulate neural systems based on memristive circuits. In order to realize such systems by means ofelectric circuits, it is crucial not only to understand the dynamics of memristive lumped circuits but also to understand the physical mechanisms on the atomic scale. Therefore, the project is divided into two subprojects. Whereas subproject 1 deals with the physics of memristive devices based on models with distributed parameters, subproject 2 investigates the interaction of memristivedevices with other lumped circuit elements. Complementarity of the two subprojects becomes manifest in the fact that the parameters of the model with concentrated parameters are calculated by spatial integration of the results from the physical models with distributed parameters.