Modeling of nanoscale transport phenomena: Application to information technology

We develop the fundamentals in rule-based mathematics and physics dealing with nanoscale transport processes and apply our formulations to the design of nano/information technology systems. We showcase the versatility of lattice Boltzmann method (LBM) as a tool to simulate apparently different physical systems and present the underlying similarity in the discrete rules required in different systems which helps in providing the insight into one system by using an analogous system. We use a unified framework to simulate nanoscale air bearing and heat transfer. LBM not only enhances the computational capability of a nanoscale confined gaseous system by calculating both velocity and pressure fields simultaneously but also simulates nanoscale energy transport in both magnetic and electronic material accurately.