A Tribute To F R N Nabarro

New models for dislocation structure and motion are presented for nanocrystals, nucleation at grain boundaries, shocked crystals, interphase interfaces, quasicrystals, complex structures with non-planar dislocation cores, and colloidal crystals. A review of experimentally established main features of the magnetoplastic effect with their physical interpretation explains many diverse results of this type. The model has many potential applications for forming processes influenced by magnetic fields. • Dislocation model for the magnetoplastic effect • New mechanism for dislocation nucleation and motion in nanocrystals • New models for the dislocation structure of interfaces between crystals with differing crystallographic structure • A unified view of dislocations in quasicrystals, with a new model for dislocation motion • A general model of dislocation behavior in crystals with non-planar dislocation cores • Dislocation properties at high velocities • Dislocations in colloidal crystals

Annotation New models for dislocation structure and motion are presented for nanocrystals, nucleation at grain boundaries, shocked crystals, interphase interfaces, quasicrystals, complex structures with non-planar dislocation cores, and colloidal crystals. A review of experimentally established main features of the magnetoplastic effect with their physical interpretation explains many diverse results of this type. The model has many potential applications for forming processes influenced by magnetic fields.

This book provides state-of-the-art computational approaches for accelerating materials discovery, synthesis, and processing using thermodynamics and kinetics. The authors deliver an overview of current practical computational tools for materials design in the field. They describe ways to integrate thermodynamics and kinetics and how the two can supplement each other.

The book helps to answer the following questions: How far have the understanding and mesoscale modeling advanced in recent decades, what are the key open questions that require further research and what are the mathematical and physical requirements for a mesoscale model intended to provide either insight or a predictive engineering tool? It is addressed to young researchers including doctoral students, postdocs and early career faculty,

Magnetic Effects Across Biochemistry, Molecular Biology and Environmental Chemistry: Genes, Brain and Cancer under Magnetic Control provides an overview of the influence of magnetism upon molecular and biochemical processes and its impact on disease, health and organisms. This book provides an understanding of key concepts behind magnetic fields before exploring their biological significance. It elucidates when and why magnetic effects arise, how they function, and how they can be utilized. Molecular mechanisms underlying magnetic effects and the impact of magnetism on genes are explored. Additionally, magnetic control in treatment of diseases, including cancer, heart disease, and neurological disease is investigated. This book explores a rapidly developing and intriguing field of science, providing a basis for future study in the field of magneto-biology, and is a useful reference for researchers across biochemistry, molecular biology, biophysics and related fields.

Sir Charles Frank is one of the foremost scientists of the last fifty years. He has made important advances in a large number of different fields in physics, notably the properties of dislocations in crystals. This book is a celebration of his work, with contributions from many of his former colleagues and students. The contributors are all eminent in their particular fields, and the great variety in their contributions demonstrates the vast impact Sir Charles has had on modern physics. The papers range over many of the fields in which Sir Charles has worked. These include crystal growth and crystal properties, liquid crystals, particle physics, metallurgy, polymer physics, materials science, geophysics and the mechanics of the Earth's crust. A major part of the book is concerned with the subject with which he is most closely associated, namely the behaviour of dislocations in crystals. The contributions are mainly of two types. There are reviews of Sir Charles' work, concentrating on his original ideas and extensions of his theories that have been made by other researchers. There are also original contributions describing the outcome of new and ongoing research, showing that Sir Charles' pioneering work is still producing important results. Also included are reminiscences of Sir Charles' life and work at Bristol and elsewhere, with many anecdotes demonstrating his unique approach to research and teaching. Because of the wide-ranging nature of Sir Charles Frank's work, this collection of essays will be of great interest to scientists in a wide range of fields.

This volume contains the proceedings of the Colloquium "Analysis, Manifolds and Physics" organized in honour of Yvonne Choquet-Bruhat by her friends, collaborators and former students, on June 3, 4 and 5, 1992 in Paris. Its title accurately reflects the domains to which Yvonne Choquet-Bruhat has made essential contributions. Since the rise of General Relativity, the geometry of Manifolds has become a non-trivial part of space-time physics. At the same time, Functional Analysis has been of enormous importance in Quantum Mechanics, and Quantum Field Theory. Its role becomes decisive when one considers the global behaviour of solutions of differential systems on manifolds. In this sense, General Relativity is an exceptional theory in which the solutions of a highly non-linear system of partial differential equations define by themselves the very manifold on which they are supposed to exist. This is why a solution of Einstein's equations cannot be physically interpreted before its global behaviour is known, taking into account the entire hypothetical underlying manifold. In her youth, Yvonne Choquet-Bruhat contributed in a spectacular way to this domain stretching between physics and mathematics, when she gave the proof of the existence of solutions to Einstein's equations on differential manifolds of a quite general type. The methods she created have been worked out by the French school of mathematics, principally by Jean Leray. Her first proof of the local existence and uniqueness of solutions of Einstein's equations inspired Jean Leray's theory of general hyperbolic systems.