Vibration-based Nano-Mechanical Transistor: Theoretical Modelling and Numerical Simulations

The introduction of vibration-based Nano Electro-Mechanical Transistors (NEMT) opens a new horizon for mechanics in computer science. NEMT working principle is based on an electrical charge shuttle between two electrodes operated by a vibrating conductor body. The paper introduces a quasi-classical analytical model for such a device describing the quantum phenomena through a non-linear conductance and using a continuous variable for the charges. Through suitably introduced simplifications, the model is reduced to a set of two differential equations in terms of pillar position and charge. These equations represent the simplest model still preserving the basic phenomenology of the system. Numerical simulations show different possible motion regimes of the device.