"Patterns of flow in 2 Dimensions"

Dr.  Kapil Krishan

Abstract

The patterns exhibited by systems constrained to two dimensions can show remarkably rich behavior at a variety of length scales. Some examples of these are molecular surfactants such as those coating the lung, bubbles floating on water that have been used to mimic atomic interactions, or just a gas held in a temperature gradient. All these systems are broadly comprised of different interacting components that result in complex behavior. Our investigations help understand a wide range of material science relating to the surfactant behavior during respiration and the onset of plasticity in materials. We also obtain insightful results in statistical mechanics through violations of the ergodic hypothesis and unraveling unexpected scaling behavior during weak turbulence.