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The express purpose of these lecture notes is to go through some aspects of the simplicial quantum gravity model known as the dynamical triangula tions approach. Emphasis has been on laying the foundations of the theory and on illustrating its subtle and often unexplored connections with many distinct mathematical fields ranging from global Riemannian geometry, to moduli theory, number theory, and topology. Our exposition will concentrate on these points so that graduate students may find in these notes a useful exposition of some of the rigorous results one can -establish in this field and hopefully a source of inspiration for new exciting problems. We try as far as currently possible to ex...
Concepts of nonlinear physics are applied to an increasing number of research disciplines. With this volume, the editors offer a selection of articles on nonlinear topics in progress, ranging from physics and chemistry to biology and some applications of social science. The book covers quantum optics, electron crystallization, cellular or flow patterns in fluids and in granular media, biological systems, and the control of brain structures via neuronal excitation. Chemical patterns are looked at both in bulk solutions and on surfaces in heterogeneous systems. From regular structures, the authors turn to the more complex behavior in biology and physics, such as hydrodynamical turbulence, low-dimensional dynamics in solid-state physics, and gravity.
High Field Magnetism covers the proceedings of the 2nd International Symposium on High Field Magnetism held in Leuven, Belgium on July 20-23, 1988. The book focuses on magnetism, superconductivity, superconductors, and magnetic properties. The selection first offers information on DC laboratory electromagnets and design of magnet coils for semi-continuous magnetic fields. Discussions focus on resistive and hybrid magnets, power, stress, and homogeneity of the field. The book then examines production of ultra-high magnetic fields and their application to solid state physics; laboratory facility for the magnetic flux compression systems using large explosives; and production of repeating pulse...
The effects of global warming on human health factors with special regards to our brain function are still not well understood. There is an urgent need to expand our knowledge on the effects of hot environment on our brain functions in healthy and in diseased populations. It is still unclear whether infectious events, traumatic injuries, metabolic diseases, carcinogenic events, cardiovascular and respiratory functions will be adversely affected by the rise in global temperature or whether environmental pollutants, such as nanoparticles entered into our body system will produce more damage at high ambient temperatures. This book aims to answer these questions based on recent research carried ...
The problem of superconductors has been a central issue in Solid State Physics since 1987. After the discovery of superconductivity (HTSC) in doped perovskites, it was realized that the HTSC appears in an unknown complex electronic phase of c- densed matter. In the early years, all theories of HTSC were focused on the physics of a homogeneous 2D metal with large electron–electron correlations or on a 2D polaron gas. Only after 1990, a novel paradigm started to grow where this 2D metallic phase is described as an inhomogeneous metal. This was the outcome of several experimental evidences of phase separation at low doping. Since 1992, a series of conferences on phase separation were organize...
In the past two years conferences on superconductivity have been characterized by the attendance of hundreds of scientists. Consequently, the organizers were forced to schedule numerous parallel sessions and poster presentations with an almost unsurveyable amount of information. It was, therefore, felt that a more informal get-together, providing ample time for a thourough discussion of some topics of current interest in high-temperature superconductivity, was timely and benefitial for leading scientists as well as for newcomers in the field. The present volume contains the majority of papers presented at the International Discussion Meeting on High-Tc Superconductors held at the Mauterndorf...
The topics of this Conference focus on 1) the optical, electronic, thermal, elastic, magnetic, and transport properties, 2) thin films and single crystals, 3) structural properties and new materials, 4) theoretical aspects of high temperature superconductivity.
The recently proposed, fully multi-scale theory of doublet mechanics offers unprecented opportunities to reconcile the discrete and continuum representations of solids while maintaining a simple analytical format and full compatibility with lattice dynamics and continuum mechanics. In this monograph, a self-contained account of the state of the art in doublet mechanics is presented. Novel results in the elastodynamics of microstructured media are reported, including the identification of a new class of dispersive surface waves, and the presentation of methods for the experimental determination of the essential microstructural parameters. The relationships between doublet mechanics, lattice dynamics, and continuum theories are examined, leading to the identification of the subject areas in which the use of doublet mechanics is most advantageous. These areas include the analysis of domains as diverse as micro-electro-mechanical systems (MEMS), granular and particulate media, nanotubes, and peptide arrays.