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Titlebook: Introduction to Vortex Filaments in Equilibrium; Timothy D. Andersen,Chjan C. Lim Book 2014 Springer Science+Business Media New York 2014

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书目名称Introduction to Vortex Filaments in Equilibrium
编辑Timothy D. Andersen,Chjan C. Lim
视频video
概述Includes discussion topics and questions.Informal survey-style benefits, survey courses, and seminar classes focused on discussion and independent projects.Gradual increase in depth as the book progre
丛书名称Springer Monographs in Mathematics
图书封面Titlebook: Introduction to Vortex Filaments in Equilibrium;  Timothy D. Andersen,Chjan C. Lim Book 2014 Springer Science+Business Media New York 2014
描述This book presents fundamental concepts and seminal results to the study of vortex filaments in equilibrium. It also presents new discoveries in quasi-2D vortex structures with applications to geophysical fluid dynamics and magnetohydrodynamics in plasmas. It fills a gap in the vortex statistics literature by simplifying the mathematical introduction to this complex topic, covering numerical methods, and exploring a wide range of applications with numerous examples. The authors have produced an introduction that is clear and easy to read, leading the reader step-by-step into this topical area. Alongside the theoretical concepts and mathematical formulations, interesting applications are discussed. This combination makes the text useful for students and researchers in mathematics and physics.
出版日期Book 2014
关键词Equilibrium Statistical Mechanics; Filaments; Mechanics; Negative Specific Heat; Quantized Vortices; Stat
版次1
doihttps://doi.org/10.1007/978-1-4939-1938-3
isbn_softcover978-1-4939-5106-2
isbn_ebook978-1-4939-1938-3Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer Science+Business Media New York 2014
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1439-7382 endent projects.Gradual increase in depth as the book progreThis book presents fundamental concepts and seminal results to the study of vortex filaments in equilibrium. It also presents new discoveries in quasi-2D vortex structures with applications to geophysical fluid dynamics and magnetohydrodyna
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Book 2014-2D vortex structures with applications to geophysical fluid dynamics and magnetohydrodynamics in plasmas. It fills a gap in the vortex statistics literature by simplifying the mathematical introduction to this complex topic, covering numerical methods, and exploring a wide range of applications wit
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Parallel Filaments,that the former is the axis while the latter is the rotating fluid contained about the axis, i.e., the vortex itself. In this book, however, because we do not go into the behavior of the vortex core but consider a vortex to be a one-dimensional, string-like molecule, the two terms are used interchangeably.
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Introduction, rotational motion such as convection currents. In order for a vortex to be a filament it needs to obey the asymptotic relation: . ≪ . where . is the core size and . is the curvature. A common further constraint can be placed, . ≪ 1, in which case the filament is nearly straight as well.
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Statistical Mechanics,icting macroscopic phenomena from the properties of microscopic components [102]. Indeed, one of the underlying assumptions of physics is that all macroscopic phenomena derives from the action of microscopic components and that much of what is observed and measured in the natural world is the result
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