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Random Walk and Interaction of Vacancies with Imperfections in Diamond Lattice as a Discrete Markovian Process
Author(s) -
Tishkovsky E. G.
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.2221130208
Subject(s) - statistical physics , markov process , lattice (music) , diamond , random walk , mathematics , markov chain , physics , materials science , statistics , acoustics , composite material
The description of sites in diamond lattice in terms of elementary jumps is performed. The relations between the number of symmetrically arranged sites and the minimal value of elementary jumps needed to reach them from a given point are obtained. The physics of migration and interaction of vacancies with imperfections is represented by discret in space and time Markovian processes. Some characteristic features of Markovian chains and related physical processes are discussed.