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Random Walk of a Di‐Vacancy in an F.C.C. Lattice
Author(s) -
Sakagami Y.
Publication year - 1982
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.2221110136
Subject(s) - vacancy defect , master equation , lattice (music) , random walk , statistical physics , formalism (music) , heterogeneous random walk in one dimension , distribution function , physics , diffusion equation , mathematical physics , condensed matter physics , mathematics , quantum mechanics , statistics , art , musical , economy , service (business) , acoustics , economics , visual arts , quantum
The diffusion‐process of a di‐vacancy on an f.c.c. lattice is investigated with the aid of the Markovian master equation which describes an evolution of a probability distribution on a diffusion lattice of a di‐vacancy in f.c.c. lattice. The problem is formulated in the Green function formalism. The dispersion relation, the relaxation spectrum, and the spectral function are calculated. An effective master equation is also obtained for an aged system. The usefulness of the Green function is discussed.