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On the Percolation Approach to the Hopping Conduction in Strong Electrical Fields
Author(s) -
Böttger H.,
Wegener D.
Publication year - 1984
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.2221210144
Subject(s) - percolation (cognitive psychology) , condensed matter physics , percolation threshold , thermal conduction , statistical physics , ohmic contact , electrical resistivity and conductivity , percolation theory , conductivity , percolation critical exponents , field (mathematics) , volume fraction , materials science , mathematics , physics , quantum mechanics , thermodynamics , pure mathematics , psychology , neuroscience , electrode
The non‐Ohmic hopping behaviour on random lattices is studied by solving the percolation problem by computer simulation. The dimensional “invariants” B c (average number of open bonds per site) and v c (critical volume fraction) are shown to be not suitable for an investigation of this problem, because they are field dependent. Furthermore the field dependence of the “returns” in the percolation paths and the decrease of the conductivity at sufficiently low fields are studied.