TY - JOUR
T1 - Generalized dynamic-disorder transport rule with application to the study of temporal correlation effects
AU - Druger, Stephen D.
AU - Ratner, Mark A.
PY - 1988
Y1 - 1988
N2 - A new relation giving average transport behavior for dynamically disordered systems in terms of that for static disorder follows by considering the statistical growth of mean-square carrier displacement. The result is more widely applicable than the D()D(-i) analytic continuation rule (for average reinitialization rate ) originally derived for bond percolation on a periodic lattice, and reproduces earlier results in appropriate limits, thereby showing the analytic continuation rule and other earlier results to apply more generally than previously demonstrated, applying for example to a continuous distribution of hopping rates, to nonperiodic arrays of sites, and to site percolation as well as bond percolation. Application to a study of temporal correlation between reinitialization events in a bond-percolation model shows these effects to be small but non-negligible, demonstrating the applicability of the previous analytic continuation rule as a reasonable approximation under conditions where temporal correlation makes it inexact.
AB - A new relation giving average transport behavior for dynamically disordered systems in terms of that for static disorder follows by considering the statistical growth of mean-square carrier displacement. The result is more widely applicable than the D()D(-i) analytic continuation rule (for average reinitialization rate ) originally derived for bond percolation on a periodic lattice, and reproduces earlier results in appropriate limits, thereby showing the analytic continuation rule and other earlier results to apply more generally than previously demonstrated, applying for example to a continuous distribution of hopping rates, to nonperiodic arrays of sites, and to site percolation as well as bond percolation. Application to a study of temporal correlation between reinitialization events in a bond-percolation model shows these effects to be small but non-negligible, demonstrating the applicability of the previous analytic continuation rule as a reasonable approximation under conditions where temporal correlation makes it inexact.
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U2 - 10.1103/PhysRevB.38.12589
DO - 10.1103/PhysRevB.38.12589
M3 - Article
AN - SCOPUS:0001397073
VL - 38
SP - 12589
EP - 12599
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 0163-1829
IS - 17
ER -