Bøger af Minoru (University of Guelph Fujimoto

Nonlinear dynamics is a well-established discipline in physics, and this book offers a comprehensive textbook on the basic soliton theory and its applications, especially for crystalline processes. Although primarily mathematical, the author discusses the theory for nonlinear phenomena in a practical environment, paying particular attention to the presence of media where nonlinearity occurs.Written for students at upper-undergraduate and graduate levels, it is suitable for advanced physics courses on nonlinear physics. The book covers the fundamental properties of nonlinear waves, dealing with both theory and experiment. The aim is to emphasize established tools and introduce new methods underpinning important new developments in this field, especially as applied to solid-state materials. The updated edition has been extended to emphasize the importance of thermodynamics in a description of modulated crystals and contains new chapters on superconductivity that can be interpreted by the soliton mechanism. It is also updated to include new end-of-chapter problems.Key FeaturesNew updated and expanded edition of a respected and well-used bookIncorporates latest developments in the fieldExtensive additions to applications on condensed matter and materialsIncludes worked examples and end of chapter exercisesExtended to include applications in superconductivity

An introduction to the statistical thermodynamics of phase transitions in crystallized solids, polymers and liquid crystals. Written as an introductory treatise with respect to the soliton concept, the book examines structural transitions where the crystal symmetry changes, magnets and superconductors, and describes the role of nonlinear excitations in detail.

Solitons in Crystalline Processes presents the soliton theory applied to crystalline processes for the first time. Starting with critical anomalies in binary transitions, the soliton idea leads to nonlinear waves in crystals, constituting the basic objective in this book. The theory explains logically not only structural transformations and mesoscopic disorder, but also the nonlinear mechanism of superconductivity with respect to the charge-current continuity substantiated by experimental studies; in contrast, for magnetic systems where solitons are relatively insignificant. Generally, solitons play the fundamental role in ordering processes in crystals, where the collective motion are essential for mesoscopic disorder in thermal equilibrium.This book is written as an introductory treatise with respect to the soliton concept, from structural transitions where the crystal symmetry changes, to magnets and superconductors, describing the role of nonlinear excitations in detail. Parts I and II introduce the theory and experimental techniques, while Part III discusses soliton theory of lattice dynamics in detail, and Part IV discusses the applications of this theory to superconductivity and magnetism. Exercises are given for each chapter to further develop understanding, and mathematics are limited to those needed to understand the theory.