Solitons in Crystalline Processes
Statistical thermodynamics of structural phase transitions and mesoscopic disorder
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.