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The Crystal Lattice: Phonons, Solitons, Dislocations

The Crystal Lattice: Phonons, Solitons, Dislocations

Arnold M. Kosevich

ISBN: 978-3-527-60308-4

Jan 2005

326 pages

Select type: O-Book


The aim of the book is to describe and analyse peculiarities of classical and quantum dynamics of a crystal as a spatially periodic structure. Both traditional questions like the spectrum of vibrations, the idea of phonon gas, dislocations etc. and new aspects like the theory of quantum crystals, solitons in 1D crystals, dislocation theory of melting of 2D crystals etc. are discussed. The author gives an explanation of a set of phenomena which entered into solid state physics during the last decades. It is shown that the crystal properties are sensitive to the dimension of the crystal and its defect structure, and depend slightly on whether the periodic structure consists of atoms, or electrical dipoles, or magnetic moments (spins). Considerable attention is devoted to the dislocation mechanics as a basis of theory of plasticity and numerous technological applications of crystal materials.
Geometry of crystal lattice
Vibrations of monoatomic and polyatomic lattices
Models of crystals of various dimensions
Frequency spectrum and its connection with Green's function
Nonlinear dynamics of 1D crystal
Quantization of crystal vibrations
Interaction of excitations in a crystal
Quantum crystals
Dynamics of molecular crystals with quantum tunneling states
Point defects
Dislocations and disclinations
Localization of vibrations at point defects and near extended defects
Elastic field of dislocations
Dislocation theory of elastic twinning
Dislocation dynamics
"...this book...presents a unified treatment of both classical and recent aspects of crystal dynamics. ...of great help to solid-state physics graduate students, but also to well-trained researchers in this field." - Gilles Horowitz Laboratoire des Materiaux Moleculaires CNRS Thiais - Euro Materials