Written for graduate students and researchers, Nanoscale Hydrodynamics of Simple Systems covers fundamental aspects of nanoscale hydrodynamics and extends this basis to examples. Covering classical, generalised and extended hydrodynamic theories, the title also discusses their limitations. It introduces the reader to nanoscale fluid phenomena and explores how fluid dynamics on this extreme length scale can be understood using hydrodynamic theory and detailed atomistic simulations. It also comes with additional resources including a series of explanatory videos on the installation of the code package, as well as discussion, analysis and visualisations of simulations. This title primarily focusses on training the reader to identify when classical theory breaks down, how to extend and generalise the theory, as well as assimilate how simulations and theory together can be used to gain fundamental knowledge about the fluid dynamics of small-scale systems.

This book provides a broad introduction to integrable systems with many degrees of freedom. Within the much larger domain, there are well studied classical models such as Toda lattice, Calogero fluid, Ablowitz-Ladik discretized nonlinear Schrödinger equation, and Korteweg-de Vries equation. For quantum mechanical systems, there are the Lieb-Liniger delta-Bose gas and the quantum Toda fluid. The truly novel twist is the study of random initial data described by generalized Gibbs ensembles with parameters of slow spatial variation. This is the hydrodynamic scale, comparable to the ballistic Euler scale of simple fluids. While integrable microscopic models are very diverse, the central theme of this book is to elucidate their structural similarity on hydrodynamic scales.

In this thesis, issues pertaining to the dynamics of nanoscale liquid systems, such as nanojets and nanobridges, in vacuum as well as in ambient gaseous conditions, are explored using both extensive molecular dynamics simulations and theoretical analyses. The simulation results serve as ``theoretical experimental data' (together with laboratory experiments when available) for the formulation, implementation, and testing of modified hydrodynamic formulations, including stochastic hydrodynamics. These investigations aim at extending hydrodynamic formulations to the nanoscale regime. In particular, the instability, and breakup of liquid nanobridges and nanojets are addressed in details. As an application of the microscopic hydrodynamics, a heated-nozzle technique to generate and control nanojets is proposed. Both simulations and microscopic hydrodynamic modeling reveal the formation of a ``virtual convergent nozzle', which consists of a narrowing convergent liquid core within a growing evaporative sheath, by the nanojet itself inside the real nozzle. The diameter of the resulting ejected nanojet is much smaller than the diameter of the nozzle. By adjusting the temperature distribution of the real nozzle, the size and shape of the virtual nozzle are changed, which in turn changes the diameter and the direction of the ejected nanojet.