Superfluidic nature of self-driven nanofluidics at liquid-gas interfaces

Self-driven nanofluidic flow at the liquid-air interface is a non-intuitive phenomenon. This flow behaviour was not driven by classical pressure difference or evaporation only. Depending on the position of the nanofluidic pore we can observe flow and no-flow with chaotic behaviour. In this paper, we study the nonlinear dynamics of a confined nanopore system at the liquid-air interface. The finite-range interactions between the interacting species are quantified with a corresponding critical velocity of the system. This is visualised using the finite element method and analysed mathematically with the Landau criterion. We found the formation of Bose-Einstein-like condensates due to the transport through nanofluidic pores. We show that systems with more than one nanofluidic pore with a sub-100 nm diameter create a highly nonlinear and complex. The approximation of relevant classical systems to existing quantum mechanical systems divulges new results and corrections at a fundamental level. We explain the formation of oscillating condensate within the system in the liquid phase. The high velocity near the specific boundaries of the system, the sudden disappearance of oscillations, and its dependence on evaporation are explored. This transition of classical mechanics with the outlook of quantum mechanics leaves several open questions for further investigation in the field of quantum nanofluidics.