One And Two Dimensional Fluids

Smectic and lamellar liquid crystals are three-dimensional layered structures in which each layer behaves as a two-dimensional fluid. Because of their reduced dimensionality they have unique physical properties and challenging theoretical descriptions, and are the subject of much current research. One- and Two-Dimensional Fluids: Properties of Smec

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.

This conference on liquid crystals of one- and two-dimensional order and their applications is the third in a series of European conferences devoted mainly to smectic liquid crystals. Its purpose was to bring together people working on the frontiers of the field of liquid crystals. Ordinary nematic liquid crystals were left out in order to limit the size of the meeting. The number of registered participants still reached 148. The conference shed new light on the classification of smectic mesophases, especially through the interaction of the Halle (GDR) and Hull (England) groups. It saw lively discussions on the famous blue phase of cholesterics. There were illuminating presentations on lyotropic nematic liquid crystals, on reentrant nematics, mesomorphic polymer phases, and related subjects. Much room was given to bilayers, monolayers, and interfaces, mostly to further the use of the concepts and methods of liquid crystal physics in exploring bio membranes. Other topics were device applications of smectic and cholesteric liquid crystals and nematic polymers, both of which hold promise of techno logical breakthroughs, apart from their scientific interest.

The first elementary, general text on two-phase flow suitable for graduate students in engineering, this widely used monograph has been newly updated by author Graham B. Wallis. The two-part treatment focuses on analytical techniques and practical applications. Praised by the Journal of Fluid Mechanics for its "most useful compilation of experimental results," the text features much of the author's own work.

The study of quantum fluids in three dimensions has been an important area for many years as it embraces Bose-Einstein condensation, superfluidity and macroscopic quantisation. These are fundamental aspects of physics which can be studied in liquid 4He. In contrast, quantum fluids in two dimension is more recent and less developed. Nevertheless it has shown many interesting phenomena including a rich variety of phases and the Kosterlitz-Thouless transition. Intermediate between these dimensions are the restricted geometries of micro porous materials into which He may be introduced. The main quantum materials considered are 4He, 3He, D2, H2, H and electrons on the surface of 4He. The superfluid phases of 3He were excluded, e~cept for superfluid film flow, as 3He involves a separate set of problems. These proceedings arise from a lively Advanced Research Workshop on Excitations in Two-Dimensional and Three-Dimensional Quantum Fluids held in Exeter 10-15 August 1990. Fifty scientists took part and each provided a written contribution. Perhaps it is a testimony to the discussions that several papers were revised by the authors after the meeting. The order of the chapters is the same as the presentations at the workshop. This arrangement starts with 4He in three dimensions which establishes a base from which the two dimensional properties can be viewed. At the end of each section there is a report on the discussion session. These are interesting and useful chapters as they clarify points made in the papers and define the boundary of current understanding.

This book is dedicated to the mathematical study of two-dimensional statistical hydrodynamics and turbulence, described by the 2D Navier–Stokes system with a random force. The authors' main goal is to justify the statistical properties of a fluid's velocity field u(t,x) that physicists assume in their work. They rigorously prove that u(t,x) converges, as time grows, to a statistical equilibrium, independent of initial data. They use this to study ergodic properties of u(t,x) – proving, in particular, that observables f(u(t,.)) satisfy the strong law of large numbers and central limit theorem. They also discuss the inviscid limit when viscosity goes to zero, normalising the force so that the energy of solutions stays constant, while their Reynolds numbers grow to infinity. They show that then the statistical equilibria converge to invariant measures of the 2D Euler equation and study these measures. The methods apply to other nonlinear PDEs perturbed by random forces.

This book addresses the growing interest in the field of two-dimensional liquid chromatography (2DLC), a powerful approach to increasing resolution, available peak capacity, and selectivity in analytical chromatography. 2DLC is suitable for many applications, including in the pharmaceutical and polymer industries and the omic sciences (metabolomics, lipidomics and proteomics). Thanks to recent advances in technology and software the instrumentation needed to perform 2D-LC is broadly available to the analytical community in both industry and academia. Indeed, the technique can now be considered ready for application in R&D as well as in QA and QC labs, yet it is not widely known about outside academic laboratories and is rarely taught at the undergraduate level. This book outlines the main principles and features of 2D-LC (including comprehensive and heart-cutting modes, method development and real world applications) to enable modern analysts to start using this fascinating technique. The book offers an ideal starting point for those wishing to get into 2D-LC and will also be of interest to more experienced scientists in the field.

Discovery of one-dimensional material carbon nanotubes in 1991 by the Japanese physicist Dr. Sumio Iijima has resulted in voluminous research in the field of carbon nanotubes for numerous applications, including possible replacement of silicon used in the fabrication of CMOS chips. One interesting feature of carbon nanotubes is that these can be me