Chjan Lim, Joseph Nebus

Vorticity, Statistical Mechanics, and Monte Carlo Simulation (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer New York
• Seitenzahl: 290
• Erscheinungstermin: 28. Juli 2007
• Englisch
• ISBN-13: 9780387494319
• Artikelnr.: 37287247

Inhaltsangabe

Probability.- Statistical Mechanics.- The Monte Carlo Approach.- Spectral Methods.- Discrete Models in Fluids.- Spin-Lattice Models.- Monte Carlo Simulations of Spin-Lattice Models on the Sphere.- Polyhedra and Ground States.- Mesh Generation.- Statistical Mechanics for a Vortex Gas.- Two-Layer Quasi-Geostrophic Models.- Coupled Barotropic Vorticity Dynamics on a Rotating Sphere.

Rezensionen

From the reviews: "The textbook for advanced undergraduate students is written to provide an overview of many aspects encountered in classical and quantum statistical mechanics. ... This volume is a convincing invitation to modern mathematical concepts and new techniques. It will prove useful and attractive to graduate students and teachers in this active field." (Vicentin D. Radulescu, Zentralblatt MATH, Vol. 1145, 2008)