Physical models and numerical schemes for nanofluidic diodes and transistors

The control of ionic flows at the nanoscale is a key ingredient in the design and functionality of nanofluidic devices. Similar to solid-state electronic circuits, integrated nanofluidic circuits would contain diodes and transistors but with properties th at mainly derive from the interaction between electrolytic solutions and the domain boundaries of nanoscopic pores through which these fluids flow. In recent years, various nanofluidic diodes and transistors have been produced but advanced device modellin g has not evolved at the same pace. This theoretical research program proposes to develop physical models and flux-conserving numerical schemes for rigid and, ultimately, deformable nanofluidic diodes and transistors which would extend the functionali ty of conventional devices to nature-inspired soft media. Soft materials are expected to exhibit richer dynamics, owing to the interaction of the fluid flow and the surrounding, fluid-containing structure. Thermodynamically consistent continuum models wil l be established that capture several physical phenomena inside such nanopores. In this context, we will study how the minimization of entropy production under steady-state operation might determine the system dynamics and the device performance. A long -term goal is to propose tailored diodes and transistors whose functionality rests on specific geometries, surface charge distributions and hydrophobic properties of the pore walls. This includes the use of soft materials which are similar in nature to po lymer electrolyte membranes. Overall, this program addresses several open, inter-disciplinary questions while establishing new physical models and simulation techniques, and new scientific collaborations. This funding would be used to intensify the coll aboration between NTNU and WIAS in Berlin, Germany, through student and researcher exchange, and facilitate the preparation of a joint European grant application.