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Vorticity, Statistical Mechanics, and Monte Carlo Simulation / by Chjan Lim, Joseph Nebus
(Springer Monographs in Mathematics. ISSN:21969922)
版 | 1st ed. 2007. |
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出版者 | (New York, NY : Springer New York : Imprint: Springer) |
出版年 | 2007 |
本文言語 | 英語 |
大きさ | XIV, 290 p : online resource |
著者標目 | *Lim, Chjan author Nebus, Joseph author SpringerLink (Online service) |
件 名 | LCSH:Mathematics LCSH:Dynamical systems LCSH:System theory LCSH:Continuum mechanics LCSH:Mathematical physics FREE:Applications of Mathematics FREE:Dynamical Systems FREE:Complex Systems FREE:Continuum Mechanics FREE:Theoretical, Mathematical and Computational Physics |
一般注記 | 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 This book is drawn from across many active fields of mathematics and physics, and 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 f this book 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. In reading this book, 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 in 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. Special attention is given to spherical models as well. This book is intended for the upper-level undergraduate or the beginning graduate level courses of mathematics and physics. It will also be of interest to readers interested in statistical mechanics methods applied to fluid mechanics problems. Readers will gain an understanding of how to synthesize new mathematics by applying familiar tools in new ways, and develop new tools to fit particular applications HTTP:URL=https://doi.org/10.1007/978-0-387-49431-9 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9780387494319 |
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EB00230932 |
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※2017年9月4日以降