The Vortex State

One of the most spectacular consequences of the description of the superfluid condensate in superfluid He or in superconductors as a single macroscopic quantum state is the quantization of circulation, resulting in quantized vortex lines. This book draws no distinction between superfluid He3 and He4 and superconductors. The reader will find the essential introductory chapters and the most recent theoretical and experimental progress in our understanding of the vortex state in both superconductors and superfluids, from lectures given by leading experts in the field, both experimentalists and theoreticians, who gathered in Cargèse for a NATO ASI. The peculiar features related to short coherence lengths, 2D geometry, high temperatures, disorder, and pinning are thoroughly discussed.

Proceedings of the NATO Advanced Study Institute, Kusadasi, Turkey, July 26-August 8, 1998

This Volume 44 of Advances in Solid State Physics contains the written versions of most of the invited lectures of the Spring Meeting of the Condensed Matter Physics section of the Deutsche Physikalische Gesellschaft held from March 8 to 12, 2004 in Regensburg, Germany. Many of the topical talks given at the numerous and very lively symposia are also included. They have covered extremely interesting and timely subjects. Thus the book truly reflects the status of the field of solid state physics in 2004, and indicates its importance, not only in Germany but also internationally.

The International Symposium on ?Exotic States of Nuclear Matter? was a unique opportunity to review and discuss the many aspects of nuclear matter under extreme conditions and the corresponding possible exotic states like hyperonic matter, kaon condensates, and quark matter, which can appear both in astrophysical compact objects like neutron stars and in heavy ion collision experiments. In this proceedings volume, leading experts from astrophysics, nuclear physics, and elementary particle physics have delivered reviews and specialized seminars, which highlight the links among the different fields and the role of the underlying fundamental processes. Prospects in future astrophysical observations, with present and planned apparata, and heavy ion experiments are strongly emphasized. Thus, this book will definitely be a valuable reference for all researchers working in this wide research area.

This volume contains papers presented at the NATO Advanced Research Workshop (ARW) Dynamic Interactions in Quantum Dot Systems held at Hotel Atrium in Puszczykowo, near Poznan, Poland, May 16-19,2002. The term low-dimensional systems, which is used in the title of this volume, refers to those systems which contain at least one dimension that is intermediate between those characteristic ofatoms/molecules and those ofthe bulk material. Depending on how many dimensions lay within this range, we generally speak of quantum wells, quantum wires, and quantum dots. As such an intermediate state, some properties of low-dimensional systems are very different to those of their molecular and bulk counterparts. These properties generally include optical, electronic, and magnetic properties, and all these are partially covered in this book. The main goal of the workshop was to discuss the actual state of the art in the broad area ofnanotechnology. The initial focus was on the innovative synthesis of nanomaterials and their properties such as: quantum size effects, superparamagnetism, or field emission. These topics lead us into the various field based interactions including plasmon- magnetic spin- and exciton coupling. The newer, more sophisticated methods for characterization of nanomaterials were discussed, as well as the methods for possible industrial applications. In general, chemists and physicists, as well as experts on both theory and experiments on nanosized regime structures were brought together, to discuss the general phenomena underlying their fields ofinterest from different points ofview.

Honoring the contributions of one of the field's leading experts, Lu Ting, this indispensable volume contains important new results at the cutting edge of research. A wide variety of significant new analytical and numerical results in critical areas are presented, including point vortex dynamics, superconductor vortices, cavity flows, vortex breakdown, shock/vortex interaction, wake flows, magneto-hydrodynamics, rotary wake flows, and hypersonic vortex phenomena. The book will be invaluable for those interested in the state of the art of vortex dominated flows, both from a theoretical and applied perspective. Professor Lu Ting and Joe Keller have worked together for over 40 years. In their first joint work entitled “Periodic vibrations of systems governed by nonlinear partial differential equations”, perturbation analysis and bifurcation theory were used to determine the frequencies and modes of vibration of various physical systems. The novelty was the application to partial differential equations of methods which, previously, had been used almost exclusively on ordinary differential equations. Professsor Lu Ting is an expert in both fluid dynamics and the use of matched asymptotic expansions. His physical insight into fluid flows has led the way to finding the appropriate mathematical simplications used in the solutions to many difficult flow problems. Contents:Circular Discrepancy and a Monte Carlo Algorithm for Generating a Low Circular Discrepancy SequencePeriodic and Quasiperiodic Motion of Point VorticesExperiments on Heave/Pitch Limit-Cycle Oscillations of a Supercritical Airfoil Close to the Transonic DipVortices in SuperconductorsAccurate Numerical Simulation of Three-dimensional Lid-driven Cavity Flows with Different Span LengthsGeometric, Stochastic and Algebraic VorticesExperimental Investigation and Numerical Simulation of Oblique Shock/Vortex InteractionBreakdown of Slender Vortices: The State of the ArtA Numerical Analysis of Vortex Dislocation in Wake-type Flow with Different Spanwise NonuniformityVortex Dipole Coordinates on the SphereMagneto-Fluid-Dynamic Flow ControlInteraction between Longitudinal Vortices and Normal and Oblique ShocksAnalysis of Rotor Vortex Wake Structure Using 3-C PIV MeasurementsTypical Vortex Phenomena in Flow Fields Past Space Vehicles Readership: Researchers in mathematics, aerospace engineering and physics who are interested in vortex dominated flows. Keywords:Vortex Dynamics;Vortex Breakdown;Dipoles;Superconductors;Shocks;Wavelets;Simulation;MHDKey Features:Honors the work of one of the greatest contributors to vortical flow research — Lu TingContains important new results, which also provide a rich and far-reaching context for the research presented

Understanding the nature of vortices in high-Tc superconductors is a crucial subject for research on superconductive electronics, especially for superconducting interference devices (SQUIDs), it is also a fundamental problem in condensed-matter physics. Recent technological progress in methods for both direct and indirect observation of vortices, e.g. scanning SQUID, terahertz imaging, and microwave excitation, has led to new insights into vortex physics, the dynamic behavior of vortices in junctions and related questions of noise. This book presents the current status of research activity and provides new information on the applications of SQUIDs, including magnetocardiography, immunoassays, and laser-SQUID microscopes, all of which are close to being commercially available.