图书简介
Vortex Dynamics, Statistical Mechanics, and Planetary Atmospheres introduces the reader with a background in either fluid mechanics or statistical mechanics to the modeling of planetary atmospheres by barotropic and shallow-water models. These potent models are introduced in both analytical and numerical treatments highlighting the ways both approaches inform and enlighten the other. This book builds on Vorticity, Statistical Mechanics, and Monte Carlo Simulations by Lim and Nebus in providing a rare introduction to this intersection of research fields. While the book reaches the cutting edge of atmospheric models, the exposition requires little more than an undergraduate familiarity with the relevant fields of study, and so this book is well suited to individuals hoping to swiftly learn an exciting new field of study. With inspiration drawn from the atmospheres of Venus and of Jupiter, the physical relevance of the work is never far from consideration, and the bounty of results shows a new and fruitful perspective with which to study planetary atmospheres.
Key Features
• This book introduces and develops models which capture interesting behaviors of planetary atmospheres
• The blend of analytical and numerical results provides research material suitable for people with diverse intellectual backgrounds
• The background material allows people who are new to the fields to come up to speed quickly without sacrificing the value and originality of the newest work
• The book summarizes nearly a decade of Professor Lim’s research into statistical mechanics modeling of atmospheres
Planets and Inspiration; Barotropic and Swallow-Water Models; Dynamic Equilibria of the Barotropic Model — Variational Approach; Statistical Mechanics; The Monte Carlo Approach; Phase Transitions in Energy-Relative Enstrophy Models; Extremal Free Energy in the Mean-Field Theory; Phase Transitions of Barotropic Flow; Phase Transitions to Super-Rotation — Exact Closed-Form Solutions; The Shallow-Water Models — High Energy, Cyclonic Solutions; The Shallow-Water Model — Low-Energy Solutions.
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