Vorticity, statistical mechanics, and Monte Carlo simulation
著者
書誌事項
Vorticity, statistical mechanics, and Monte Carlo simulation
（Springer monographs in mathematics）
Springer, c2007
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注記
Includes bibliographical references(p. [263]-282) and index
内容説明・目次
内容説明
This book is drawn from across many active fields of mathematics and physics. 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 authors explicitly reach around the major branches of mathematics and physics, showing how the use of a few straightforward approaches can create a cornucopia of intriguing questions and the tools to answer them.
目次
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.
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