Vorticity, Statistical Mechanics, and Monte Carlo Simulation / edited by Chjan Lim, Joseph Nebus
(Springer Monographs in Mathematics)
| データ種別 | 電子ブック |
|---|---|
| 出版情報 | New York, NY : Springer New York , 2007 |
| 本文言語 | 英語 |
| 大きさ | XIV, 290 p : online resource |
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| 内容注記 | 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 |
|---|---|
| 一般注記 | 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 |
| 著者標目 | Lim, Chjan editor Nebus, Joseph editor SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Dynamics LCSH:Ergodic theory LCSH:Applied mathematics LCSH:Engineering mathematics LCSH:Fluids LCSH:Statistical physics LCSH:Dynamical systems FREE:Mathematics FREE:Applications of Mathematics FREE:Dynamical Systems and Ergodic Theory FREE:Statistical Physics, Dynamical Systems and Complexity FREE:Fluid- and Aerodynamics |
| 分 類 | DC23:519 |
| 巻冊次 | ISBN:9780387494319 
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| ISBN | 9780387494319 |
| URL | http://dx.doi.org/10.1007/978-0-387-49431-9 |
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