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Energy Space Diffusion of Hopping Excitations in Non‐Equilibrium
Author(s) -
Damker T.,
Bryksin V.V.
Publication year - 2002
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 - 10.1002/1521-3951(200203)230:1<233::aid-pssb233>3.0.co;2-7
Subject(s) - diffusion , space (punctuation) , relaxation (psychology) , statistical physics , physics , k nearest neighbors algorithm , condensed matter physics , quantum mechanics , psychology , social psychology , philosophy , linguistics , artificial intelligence , computer science
The effective medium theory of hopping by Bleibaum, Böttger and Bryksin is generalized to finite temperatures. Starting point is the system of rate equations for the (localized) site occupation numbers of a disordered system. An effective generalized Fokker‐Planck equation is derived thereof, which contains terms describing diffusion in real space, as well as terms describing drift and diffusion in energy space. The corresponding effective medium is determined self‐consistently. The theory describes the relaxation in a system of localized excitations, where transitions are possible by hopping. It considers the behavior at high temperatures, corresponding to nearest neighbor hopping.