Vorticity

This book is drawn from across many active fields of mathematics and physics. The book is a unique addition to the literature and offers fresh insights into an important field. It has connections to atmospheric dynamics, spherical codes, graph theory, constrained optimization problems, Markov Chains, and Monte Carlo methods. It addresses how to access interesting, original, and publishable research in statistical modeling of large-scale flows and several related fields. The reader will learn how to research a topic and how to understand statistical mechanics treatments of fluid dynamics.

Of particular interest should be the application of Monte Carlo methods to problems like dispersal of points on the sphere, the phase transitions of viscid fluid flows in models that increasingly approach the conditions of actual planetary atmospheres, and the treatment of negative absolute temperatures and the effects these extremely high-energy states have on fluid flows.