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A Nonlocal Continuum Approach to the Dynamics of Crystals. II. B.C.C. Lattice
Author(s) -
Idiodi J. O. A.,
Lee Yinggang
Publication year - 1989
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221530209
Subject(s) - quantum nonlocality , lattice (music) , formalism (music) , continuum hypothesis , physics , boundary value problem , theoretical physics , classical mechanics , statistical physics , condensed matter physics , quantum mechanics , quantum , art , musical , quantum entanglement , acoustics , visual arts
A continuum approach to lattice dynamics, incorporating effects of nonlocality, is developed. This is an extension to the b.c.c. lattice of a previous work which dealt mainly with the s.c. and f.c.c. lattices. In the treatment of the boundary conditions that arise in the presence of a surface, one is able to exhibit the rich possibilities that are accessible to the general and unified treatment presented here. It is most unlikely that the extra structure identified in the boundary conditions, as compared to several other treatments in the literature, would make a null contribution to various theoretical predictions in the dynamics of solid surfaces. In the appropriate limits the formalism passes over to the conventional elastic continuum theory.