January 26, 2021

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Quantized Vortex Dynamics and Superfluid Turbulence

Quantized Vortex Dynamics and Superfluid Turbulence
Author : C.F. Barenghi,R.J. Donnelly,W.F. Vinen
Publisher : Springer
Release Date : 2008-01-11
Category : Technology & Engineering
Total pages :458
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This book springs from the programme Quantized Vortex Dynamics and Sup- ?uid Turbulence held at the Isaac Newton Institute for Mathematical Sciences (University of Cambridge) in August 2000. What motivated the programme was the recognition that two recent developments have moved the study of qu- tized vorticity, traditionally carried out within the low-temperature physics and condensed-matter physics communities, into a new era. The ?rst development is the increasing contact with classical ?uid dynamics and its ideas and methods. For example, some current experiments with - lium II now deal with very classical issues, such as the measurement of velocity spectra and turbulence decay rates. The evidence from these experiments and many others is that super?uid turbulence and classical turbulence share many features. The challenge is now to explain these similarities and explore the time scales and length scales over which they hold true. The observed classical aspects have also attracted attention to the role played by the ?ow of the normal ?uid, which was somewhat neglected in the past because of the lack of direct ?ow visualization. Increased computing power is also making it possible to study the coupled motion of super?uid vortices and normal ?uids. Another contact with classical physics arises through the interest in the study of super?uid vortex - connections. Reconnections have been studied for some time in the contexts of classical ?uid dynamics and magneto-hydrodynamics (MHD), and it is useful to learn from the experience acquired in other ?elds.

Quantized Vortex Dynamics and Superfluid Turbulence

Quantized Vortex Dynamics and Superfluid Turbulence
Author : C.F. Barenghi,R.J. Donnelly,W.F. Vinen
Publisher : Springer Science & Business Media
Release Date : 2001-08-28
Category : Technology & Engineering
Total pages :458
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This book springs from the programme Quantized Vortex Dynamics and Sup- ?uid Turbulence held at the Isaac Newton Institute for Mathematical Sciences (University of Cambridge) in August 2000. What motivated the programme was the recognition that two recent developments have moved the study of qu- tized vorticity, traditionally carried out within the low-temperature physics and condensed-matter physics communities, into a new era. The ?rst development is the increasing contact with classical ?uid dynamics and its ideas and methods. For example, some current experiments with - lium II now deal with very classical issues, such as the measurement of velocity spectra and turbulence decay rates. The evidence from these experiments and many others is that super?uid turbulence and classical turbulence share many features. The challenge is now to explain these similarities and explore the time scales and length scales over which they hold true. The observed classical aspects have also attracted attention to the role played by the ?ow of the normal ?uid, which was somewhat neglected in the past because of the lack of direct ?ow visualization. Increased computing power is also making it possible to study the coupled motion of super?uid vortices and normal ?uids. Another contact with classical physics arises through the interest in the study of super?uid vortex - connections. Reconnections have been studied for some time in the contexts of classical ?uid dynamics and magneto-hydrodynamics (MHD), and it is useful to learn from the experience acquired in other ?elds.

Quantized Vortices in Helium II

Quantized Vortices in Helium II
Author : Russell J. Donnelly
Publisher : Cambridge University Press
Release Date : 1991-03-07
Category : Mathematics
Total pages :346
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Vortex waves have become a major preoccupation of workers in superfluidity. This book discusses the properties of quantized vortex lines in superfluid helium II in the light of research on vortices in modern fluid mechanics. The author begins with a review of classical fluid dynamics relevant to the main topics of the book. This is followed by a presentation of basic material on helium II and quantized vortices. The following chapters deal with various different aspects of the subject including vortex dynamics and mutual friction, the structure of quantized vortices, vortex arrays, and vortex waves. The book concludes with an introduction to two currently active topics, namely superfluid turbulence and the nucleation of quantized vortices.

Dynamics of Quantised Vortices in Superfluids

Dynamics of Quantised Vortices in Superfluids
Author : Edouard B. Sonin
Publisher : Cambridge University Press
Release Date : 2016-02-29
Category : Science
Total pages :432
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Draws together all the basic principles of vortex dynamics in neutral superfluids in one comprehensive volume.

Emergent Nonlinear Phenomena in Bose-Einstein Condensates

Emergent Nonlinear Phenomena in Bose-Einstein Condensates
Author : Panayotis G. Kevrekidis,Dimitri J. Frantzeskakis,Ricardo Carretero-González
Publisher : Springer Science & Business Media
Release Date : 2007-12-29
Category : Science
Total pages :405
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This book, written by experts in the fields of atomic physics and nonlinear science, covers the important developments in a special aspect of Bose-Einstein condensation, namely nonlinear phenomena in condensates. Topics covered include bright, dark, gap and multidimensional solitons; vortices; vortex lattices; optical lattices; multicomponent condensates; mathematical methods/rigorous results; and the beyond-the-mean-field approach.

Transport and Turbulence in Quasi-Uniform and Versatile Bose-Einstein Condensates

Transport and Turbulence in Quasi-Uniform and Versatile Bose-Einstein Condensates
Author : Gauthier Guillaume
Publisher : Springer Nature
Release Date : 2021
Category :
Total pages :129
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The Defocusing Nonlinear Schr?dinger Equation

The Defocusing Nonlinear Schr?dinger Equation
Author : Panayotis G. Kevrekidis,Dimitri J. Frantzeskakis,Ricardo Carretero-Gonz?lez
Publisher : SIAM
Release Date : 2015-08-04
Category : Mathematics
Total pages :429
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Bose?Einstein condensation is a phase transition in which a fraction of particles of a boson gas condenses into the same quantum state known as the Bose?Einstein condensate (BEC). The aim of this book is to present a wide array of findings in the realm of BECs and on the nonlinear Schr?dinger-type models that arise therein. The Defocusing Nonlinear Schr?dinger Equation is a broad study of nonlinear excitations in self-defocusing nonlinear media. It summarizes state-of-the-art knowledge on the defocusing nonlinear Schr?dinger-type models in a single volume and contains a wealth of resources, including over 800 references to relevant articles and monographs and a meticulous index for ease of navigation.

Quantised Vortices

Quantised Vortices
Author : Tapio Simula
Publisher : Morgan & Claypool Publishers
Release Date : 2019-08-05
Category : Science
Total pages :159
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Vortices comprising swirling motion of matter are observable in classical systems at all scales ranging from atomic size to the scale of galaxies. In quantum mechanical systems, such vortices are robust entities whose behaviours are governed by the strict rules of topology. The physics of quantum vortices is pivotal to basic science of quantum turbulence and high temperature superconductors, and underpins emerging quantum technologies including topological quantum computation. This handbook is aimed at providing a dictionary style portal to the fascinating quantum world of vortices.

Probing Two-Dimensional Quantum Fluids with Cavity Optomechanics

Probing Two-Dimensional Quantum Fluids with Cavity Optomechanics
Author : Yauhen Sachkou
Publisher : Springer Nature
Release Date : 2020-07-17
Category : Science
Total pages :147
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Superfluid helium is a quantum liquid that exhibits a range of counter-intuitive phenomena such as frictionless flow. Quantized vortices are a particularly important feature of superfluid helium, and all superfluids, characterized by a circulation that can only take prescribed integer values. However, the strong interactions between atoms in superfluid helium prohibit quantitative theory of vortex behaviour. Experiments have similarly not been able to observe coherent vortex dynamics. This thesis resolves this challenge, bringing microphotonic techniques to bear on two-dimensional superfluid helium, observing coherent vortex dynamics for the first time, and achieving this on a silicon chip. This represents a major scientific contribution, as it opens the door not only to providing a better understanding of this esoteric quantum state of matter, but also to building new quantum technologies based upon it, and to understanding the dynamics of astrophysical superfluids such as those thought to exist in the core of neutron stars.

IUTAM Symposium on Computational Physics and New Perspectives in Turbulence

IUTAM Symposium on Computational Physics and New Perspectives in Turbulence
Author : Yukio Kaneda
Publisher : Springer Science & Business Media
Release Date : 2007-12-26
Category : Science
Total pages :450
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This volume contains the proceedings of the IUTAM Symposium on Computational Physics and New Perspectives in Turbulence, held at Nagoya University, Nagoya, Japan, in September 2006. With special emphasis given to fundamental aspects of the physics of turbulence, coverage includes experimental approaches to fundamental problems in turbulence, turbulence modeling and numerical methods, and geophysical and astrophysical turbulence.

Vortices and Turbulence at Very Low Temperatures

Vortices and Turbulence at Very Low Temperatures
Author : Carlo Barenghi,Yuri Sergeev
Publisher : Springer Science & Business Media
Release Date : 2009-07-25
Category : Technology & Engineering
Total pages :289
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Recent investigations have highlighted the similarities between turbulence in cryogenic fluids at temperatures close to absolute zero, in particular superfluid helium, and turbulence in ordinary fluids. This book contains lectures on various theoretical and experimental aspects of the problem given by experts at the advanced school “Vortices and Turbulence at Low Temperatures” held at CISM, Udine, in the summer of 2007. The lectures provide an introduction into this rapidly expanding area of research. The book is suitable to PhD students and young researchers starting their career as well as established researchers in either low temperature physics or fluid mechanics who are interested in this problem.

Progress in Low Temperature Physics

Progress in Low Temperature Physics
Author : Anonim
Publisher : Elsevier
Release Date : 2008-11-05
Category : Science
Total pages :432
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Progress in Low Temperature Physics: Quantum Turbulence presents seven review articles on the recent developments on quantum turbulence. Turbulence has been a great mystery in natural science and technology for more than 500 years since the time of Leonardo da Vinci. Recently turbulence in quantum systems at low temperatures has developed into a new research field. Quantum turbulence is comprised of quantized vortices, realized in superfluid helium and quantum gases of cold atoms. Some of the important topics include energy spectra, vibrating structures, and visualization techniques. The understanding of these remarkable systems can have an impact on the general field of turbulence and will be of broad interest to scientists and students in low temperature physics, hydrodynamics and engineering. Key subjects covered: Energy spectra in quantum turbulence, Turbulent dynamics in rotating helium superfluids: a comparison of 3He-B and 4He-II, Quantum turbulence in superfluid 3He at very low temperatures, The use of vibrating structures in the study of quantum turbulence, Visualization of quantum turbulence, Capillary turbulence on the surface of quantum fluids, Quantized vortices in atomic Bose-Einstein condensates Crucial information for all experimenters in low temperature physics

Introduction to Vortex Filaments in Equilibrium

Introduction to Vortex Filaments in Equilibrium
Author : Timothy D. Andersen,Chjan C. Lim
Publisher : Springer
Release Date : 2014-10-09
Category : Computers
Total pages :139
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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.

Superfluid States of Matter

Superfluid States of Matter
Author : Boris V. Svistunov,Egor S. Babaev,Nikolay V. Prokof'ev
Publisher : CRC Press
Release Date : 2015-04-15
Category : Science
Total pages :583
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Covers the State of the Art in Superfluidity and Superconductivity Superfluid States of Matter addresses the phenomenon of superfluidity/superconductivity through an emergent, topologically protected constant of motion and covers topics developed over the past 20 years. The approach is based on the idea of separating universal classical-field superfluid properties of matter from the underlying system’s “quanta.” The text begins by deriving the general physical principles behind superfluidity/superconductivity within the classical-field framework and provides a deep understanding of all key aspects in terms of the dynamics and statistics of a classical-field system. It proceeds by explaining how this framework emerges in realistic quantum systems, with examples that include liquid helium, high-temperature superconductors, ultra-cold atomic bosons and fermions, and nuclear matter. The book also offers several powerful modern approaches to the subject, such as functional and path integrals. Comprised of 15 chapters, this text: Establishes the fundamental macroscopic properties of superfluids and superconductors within the paradigm of the classical matter field Deals with a single-component neutral matter field Considers fundamentals and properties of superconductors Describes new physics of superfluidity and superconductivity that arises in multicomponent systems Presents the quantum-field perspective on the conditions under which classical-field description is relevant in bosonic and fermionic systems Introduces the path integral formalism Shows how Feynman path integrals can be efficiently simulated with the worm algorithm Explains why nonsuperfluid (insulating) ground states of regular and disordered bosons occur under appropriate conditions Explores superfluid solids (supersolids) Discusses the rich dynamics of vortices and various aspects of superfluid turbulence at T →0 Provides account of BCS theory for the weakly interacting Fermi gas Highlights and analyzes the most crucial developments that has led to the current understanding of superfluidity and superconductivity Reviews the variety of superfluid and superconducting systems available today in nature and the laboratory, as well as the states that experimental realization is currently actively pursuing

A Superfluid Universe

A Superfluid Universe
Author : Kerson Huang
Publisher : World Scientific
Release Date : 2016-08-08
Category : Science
Total pages :136
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This interesting book provides the physical and mathematical background for a theory describing the universe as a quantum superfluid, and how dark energy and dark matter arise. Presenting a novel theory spanning many different fields in physics, the key concepts in each field are introduced. The reader is only expected to know the rudiments of condensed matter physics, quantum field theory and general relativity to explore this fascinating new model of dark matter and dark energy as facets of a cosmic superfluid.