Minoru Fujimoto

Solitons in Crystalline Processes (2nd Edition) (eBook, ePUB)

Irreversible thermodynamics of structural phase transitions and superconductivity

• Format: ePub

Produktbeschreibung

Mathematically, solitons are highly complex solutions to a widespread class of weakly nonlinear dispersive partial differential equations. In physics and engineering they form a solitary wave packet that arise in continuous media, which maintains its shape whilst it propagates at a constant velocity and results from a delicate balancing act between the tendency for waves to disperse and the non-linear properties of the propagating medium. Many nonlinear systems can be modelled using solitons, and whilst it has been utilized extensively in optics it continues to be developed and applied in many other fields of science and engineering, backed by exciting experimental evidence.

Solitons play a fundamental role in ordering processes in crystals, where the collective motion is essential for mesoscopic disorder in thermal equilibrium. The first edition of this book detailed the essential mechanism of structural changes where solitons play the fundamental role of boson statistics for irreversible thermodynamics in crystals; explaining the structural transformations and mesoscopic disorder, and the nonlinear mechanism of superconductivity.

A major development and extension presented in this new edition is in the application of soliton theory to polymers and liquid crystals, in addition to capturing the theoretical developments and newer experimental results of soliton analysis in general. This updated text also emphasises the thermodynamics of soft modes, pseudospins and order variables for finite lattice displacements. Soliton statistics of the nonlinear order variables are also logically discussed. Written as an introductory treatise, with respect to the soliton concept in matter, with exercises provided, this book will help to further develop readers' understanding of the subject.

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Produktdetails

• Verlag: Institute of Physics Publishing
• Seitenzahl: 450
• Erscheinungstermin: 14. November 2019
• Englisch
• ISBN-13: 9780750325721
• Artikelnr.: 58273001

Autorenporträt

Minoru Fujimoto is a retired professor from the University of Guelph, Canada, where he conducted research in the field of magnetic resonance studies on structural phase transitions in crystals and, more recently, theoretical work with soliton dynamics. He is the author of numerous papers and books, and is an expert in solitons as applied to crystalline condensed matter systems.