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Integral Representation of the Incoherent Field in Disordered Materials III. Diffusion, Einstein Relation, and Landauer Formula
Author(s) -
Lenk R.
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.2221130117
Subject(s) - einstein relation , diffusion , einstein , transmission coefficient , relation (database) , representation (politics) , physics , field (mathematics) , statistical physics , mathematical physics , mathematics , mathematical analysis , transmission (telecommunications) , classical mechanics , condensed matter physics , quantum mechanics , pure mathematics , computer science , law , telecommunications , metric (unit) , operations management , database , politics , political science , economics
The theory developed in Part I of this paper is applied to the diffusion problem, i.e. without driving forces in the medium. The diffusion coefficient is connected with the mobility determined previously by the Einstein relation. For one‐dimensional systems of finite length the transmission coefficient is calculated starting from the basic integral equation for the density. As expected, this coefficient is related to the mobility by the Landauer formula.